algebra 1 unit 4 review. algebra 1 – unit 4 mid-unit review 1) x y 5 5 -5 a b c d
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Algebra 1
Unit 4 Review
Match each equation with line A, B, C, or D from the graph.
___ y = 7
___ x = 7
___ y = 3x – 2
___ y + 4 = (x – 6)
Algebra 1 – Unit 4 mid-unit Review
1)
x
y
5
5
-5
-5
A
B
CD
ANSWERAlgebra 1 – Unit 4 mid-unit Review
Match each equation with line A, B, C, or D from the graph.
___ y = 7
___ x = 7
___ y = 3x – 2
___ y + 4 = (x – 6)
1)
x
y
5
5
-5
-5
A
B
CD
A
C
D
B
List a coordinate pair for each equation in the tables below.
y = 7
x = 7
y = 3x – 2
y + 4 = (x – 6)
Algebra 1 – Unit 4 mid-unit Review
2)
x
y
5
5
-5
-5
A
B
CD
x y
x y
x y
x y
ANSWERAlgebra 1 – Unit 4 mid-unit Review
List a coordinate pair for each equation in the tables below.
y = 7
x = 7
y = 3x – 2
y + 4 = (x – 6)
2)
x
y
5
5
-5
-5
A
B
CD
x y
x y
x y
x y
What are the slopes and y-intercepts of each line?
y = 7slope =y-int =
x = 7slope =y-int =
y = 3x – 2 slope =y-int =
y + 4 = (x – 6)slope =y-int =
Algebra 1 – Unit 4 mid-unit Review
3)
x
y
5
5
-5
-5
A
B
CD
ANSWERAlgebra 1 – Unit 4 mid-unit Review
What are the slopes and y-intercepts of each line?
y = 7slope = 0y-int = 7 or (0,7)
x = 7slope = undefined or y-int = doesn’t have one
y = 3x – 2 slope = 3y-int = -2 or (0,-2)
y + 4 = (x – 6)slope = y-int = -2 or (0,-2)
3)
x
y
5
5
-5
-5
A
B
CD
a) Write an equation of a line parallel to line B.
b) Write an equation of a line perpendicular to line D.
Algebra 1 – Unit 4 mid-unit Review
4)
x
y
5
5
-5
-5
A
B
CD
ANSWERAlgebra 1 – Unit 4 mid-unit Review
a) Write an equation of a line parallel to line B.
b) Write an equation of a line perpendicular to line D.
4)
x
y
5
5
-5
-5
A
B
CD
y = x + bwhere b ≠ -2
y = x + b
The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in point-slope form.
Algebra 1 – Unit 4 mid-unit Review
5)
ANSWERAlgebra 1 – Unit 4 mid-unit Review
The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in point-slope form.
5)
y + 1 = (x + 2)
or
y + 3 = (x – 2)
The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in slope-intercept form.
Algebra 1 – Unit 4 mid-unit Review
6)
ANSWERAlgebra 1 – Unit 4 mid-unit Review
y = x – 2
The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in slope-intercept form.
6)
A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour.
a) What is the independent variable?
b) What is the dependent variable?
Algebra 1 – Unit 4 mid-unit Review
7)
ANSWERAlgebra 1 – Unit 4 mid-unit Review
7) A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour.
a) What is the independent variable?
b) What is the dependent variable?
time (hours)
Amount of remaining grain (lbs)
A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour.
a) Write an equation involving x and y that represents this situation.
b) When will the emu run out of grain?
c) After 10 hours, how much grain will the emu have left?
Algebra 1 – Unit 4 mid-unit Review
8)
ANSWERAlgebra 1 – Unit 4 mid-unit Review
A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour.
a) Write an equation involving x and y that represents this situation.
b) When will the emu run out of grain?
c) After 10 hours, how much grain will the emu have left?
8)
y = -2x + 50
In 25 hours
30 lbs
The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If x is the number of female emus, then ___x represents the total weight of the females.
b) If y is the number of male emus, then ___y represents the total weight of the males.
c) Combine yours answers to (a) and (b) to write an equation that models this situation, using general form.
Algebra 1 – Unit 4 mid-unit Review
9)
The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If x is the number of female emus, then ___x represents the total weight of the females.
b) If y is the number of male emus, then ___y represents the total weight of the males.
c) Combine yours answers to (a) and (b) to write an equation that models this situation, using general form.
ANSWERAlgebra 1 – Unit 4 mid-unit Review
70
9)
80
70x + 80y = 2000
The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If all of the emus are male, how many can be taken on the trailer?
b) Where would this be seen on a graph of this line?
c) If all of the emus are female, how many can be taken on the trailer?
d) Where would this be seen on a graph of this line?
Algebra 1 – Unit 4 mid-unit Review
10)
The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If all of the emus are male, how many can be taken on the trailer?
b) Where would this be seen on a graph of this line?
c) If all of the emus are female, how many can be taken on the trailer?
d) Where would this be seen on a graph of this line?
ANSWERAlgebra 1 – Unit 4 mid-unit Review
25 males could be taken
10)
This would be the y-intercept: (0,25)
This would be the x-intercept: (40,0)
40 females could be taken