midterm study guide
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Midterm Study Guide. 2) Simplify :. 1) Simplify :. 4) Simplify: . Midterm Study Guide. 3) Simplify:. Distribute the 8 to both terms in side the ( ). First combine all terms that are the same. Midterm Study Guide. - PowerPoint PPT PresentationTRANSCRIPT
Midterm Study Guide
1) Simplify 2) Simplify
0
Midterm Study Guide
3) Simplify
4) Simplify
Distribute the 8 to both terms in side the ( )119889+16 119889+24
iquest17119889+24
First combine all terms that are the same119897+4 119896119910+4 119897+4 119896
iquest5 119897+8119896+119910
Midterm Study Guide
5) Which algebraic expression goes with the phrase 6 less than a number
n ndash 6Reminder the phrase less than means you have to switch the first amp second terms places
Midterm Study Guide
6) A candy store sells packages of candy bars Mark bought c candy bars for $30 What algebraic expression would show the cost of one candy bar
or
Midterm Study Guide
7) Write an expression for the perimeter of the given figure Then simplify the expression
x + 3
2x + 1
x + 3
x + 1 Remember Perimeter means to add up all the sides
x + 1 x + 3 x + 32x + 1+
5x + 8
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
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- Midterm Study Guide (17)
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- Midterm Study Guide (20)
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Midterm Study Guide
3) Simplify
4) Simplify
Distribute the 8 to both terms in side the ( )119889+16 119889+24
iquest17119889+24
First combine all terms that are the same119897+4 119896119910+4 119897+4 119896
iquest5 119897+8119896+119910
Midterm Study Guide
5) Which algebraic expression goes with the phrase 6 less than a number
n ndash 6Reminder the phrase less than means you have to switch the first amp second terms places
Midterm Study Guide
6) A candy store sells packages of candy bars Mark bought c candy bars for $30 What algebraic expression would show the cost of one candy bar
or
Midterm Study Guide
7) Write an expression for the perimeter of the given figure Then simplify the expression
x + 3
2x + 1
x + 3
x + 1 Remember Perimeter means to add up all the sides
x + 1 x + 3 x + 32x + 1+
5x + 8
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
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Midterm Study Guide
5) Which algebraic expression goes with the phrase 6 less than a number
n ndash 6Reminder the phrase less than means you have to switch the first amp second terms places
Midterm Study Guide
6) A candy store sells packages of candy bars Mark bought c candy bars for $30 What algebraic expression would show the cost of one candy bar
or
Midterm Study Guide
7) Write an expression for the perimeter of the given figure Then simplify the expression
x + 3
2x + 1
x + 3
x + 1 Remember Perimeter means to add up all the sides
x + 1 x + 3 x + 32x + 1+
5x + 8
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
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- Midterm Study Guide (20)
-
Midterm Study Guide
6) A candy store sells packages of candy bars Mark bought c candy bars for $30 What algebraic expression would show the cost of one candy bar
or
Midterm Study Guide
7) Write an expression for the perimeter of the given figure Then simplify the expression
x + 3
2x + 1
x + 3
x + 1 Remember Perimeter means to add up all the sides
x + 1 x + 3 x + 32x + 1+
5x + 8
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
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- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
Midterm Study Guide
7) Write an expression for the perimeter of the given figure Then simplify the expression
x + 3
2x + 1
x + 3
x + 1 Remember Perimeter means to add up all the sides
x + 1 x + 3 x + 32x + 1+
5x + 8
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
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- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
Midterm Study Guide
8) Solve 9) Solve + 9 +916
+ 4 +4 12
- 4 -4
5 5
y = -4 m = 60
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
Midterm Study Guide
10) Solve 1st combine like terms6119899minus8=40Then solve it like another
2-step equation+ 8 +86119899=48
6 6119899=8
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
Midterm Study Guide
11) Solve
8minus2 119897=minus24
minus2 119897=minus32 -2 -2119897=16
1st multiply both sides by the denominator
Then solve like another 2-step
equation
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
12) Billie Joe Bob has received scores of 80 75 83 92 and 75 on math quizzes What score must Billie Joe Bob get on her next quiz to have an average of 80
Midterm Study Guide
1st add up all of his current quiz scores
80+75+83+92+75=405
2nd multiply the average by 6
(6 representing the total of quizzes taken)
80 ∙6=480
3rd find the difference between the two 480minus405=75
Billie needs a 75 on his next quiz
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
13) Identify what it mean to find the absolute value
Midterm Study Guide
The distance a number is from zero
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)
Midterm Study Guide
1st distribute the negative 1 to all three terms
1
minus6119899minus4119889+42nd match up the like terms from the first
group of ( ) then combine them
3119899minus2119889+5minus3119899minus6119889+9
The final answer is
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression
Midterm Study Guide
-4(3 ndash 3) + 5(ndash8 ndash 3)
1st substitute the 3 in for each x Then use order of operations to solve the expression
-4(0) + 5(-11)0 + -
55= -55
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
16) The perimeter of the triangle is 19 yards Simplify the algebraic expressions to find the lengths of the sides of the triangle
Midterm Study Guide
x -1 x
x+2
1st add up all the sides
valuesxx ndash 1 x + 2
3x + 1
Then add on =19 amp solve for the x
value 3x + 1= 19 - 1 -1
3x = 18 3 3
x = 6
After finding the value for x plug 6 in to find the sidersquos value
= 6
= 8
= 5
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level How far apart above the scuba diver is the seaplane
Midterm Study Guide
Hint Think of using a tape measure to find the distance of the
diver and the seaplane
25 + 85 =
110
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks
Midterm Study Guide
10+5 119904=2275- 10 -10
5 119904=12755 5s = $255
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
20) The temperature was 25 degrees Fahrenheit when Mandy awoke The temperature dropped 4 degrees per hour How many hours did it take for the temperature to drop to -7 degrees Fahrenheit
Midterm Study Guide
25minus4 h=minus7- 25 -25 minus4 h=minus32
-4 -4h=8
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
21) find the unknown length
Midterm Study Guide
119861119862119864119865=
119860119862119863119865
1st find the corresponding sides amp them up in a proportion
1199094=
123
2nd substitute the values for each of the sides
3 119909=48 3rd cross product and solve the equation
119961=120783120788 119946119951
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow What is the height of the taller building
Midterm Study Guide
1416=
11990924
1st draw each figure and set up the values in a proportion
78=
11990924
2nd You can cross product or simplify the fraction (without the variable)
119961=1207841207831199508 119909=168 3rd solve the
equation
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located
Midterm Study Guide
1st indicate where the original point is located at (general area is fine)
2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-
24) What are the coordinates of the reflection of the triangle over the x - axis
Midterm Study Guide
1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2
x
- Midterm Study Guide
- Midterm Study Guide (2)
- Midterm Study Guide (3)
- Midterm Study Guide (4)
- Midterm Study Guide (5)
- Midterm Study Guide (6)
- Midterm Study Guide (7)
- Midterm Study Guide (8)
- Midterm Study Guide (9)
- Midterm Study Guide (10)
- Midterm Study Guide (11)
- Midterm Study Guide (12)
- Midterm Study Guide (13)
- Midterm Study Guide (14)
- Midterm Study Guide (15)
- Midterm Study Guide (16)
- Midterm Study Guide (17)
- Midterm Study Guide (18)
- Midterm Study Guide (19)
- Midterm Study Guide (20)
-