a b c a comparison of two values that are measured using different units is known as a...
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A
B
C
A comparison of two values that are measured using different units is known as a ______________
rate
ratio
proportion End Review
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Question 1
HERE IS A HINT:HERE IS A HINT: look back at your notes, or on the homework page called, “Rates vs. Ratios”
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A
B
C
Which of the comparisons below is a ratio?
boys to girls
basketballs per student
cupcakes per teacher End Review
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Try AgainTry AgainHERE IS A HINT:HERE IS A HINT: besides the mathematical difference between rates and ratios (look at the units of measurement) we also learned a trick about the words “to” and “per”
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Question 2
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A
B
C
Which statement about similar figures below is false?
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All triangles are similar to each other
Their corresponding angles are congruent
Their corresponding sides are proportional
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Question 3
HERE IS A HINT:HERE IS A HINT: Would an isosceles triangle and a right triangle be similar?
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A
B
C
Would a large square and a small square have corresponding sides that are proportional?
No
Yes
Maybe End Review
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Question 4
HERE IS A HINT:HERE IS A HINT: Draw two squares and then give them measurements (remember all 4 sides of a square are equal) and then set-up proportions. Cross multiply to ensure that they are proportional!
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B
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The shapes below are similar. Use proportions to find the missing side.
12 inches
9 inches
15 inches End Review
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12 in 16 in
20 in
9 in
15 in
x in
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Question 5
HERE IS A HINT:HERE IS A HINT: It would be hard to use size change factor on this problem. Set-up a proportion to compare the first triangle to the second triangle. If it helps, draw the triangles on a piece of paper and then use our color coding method to help you.
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A
B
C
Use proportions to determine if the rectangles below are similar.
Yes, they are similar
No, they are not similar
Can not tell from the information given End Review
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6 in
3 in
4 in
1 in
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Question 6
HERE IS A HINT:HERE IS A HINT: For two shapes to be similar, their corresponding sides must be proportional. To determine this, set-up you proportion and cross multiply… are your cross products equal?
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B
C
Which of the following is a rate?
donuts to bagels
boys to girls
pencils per giraffe End Review
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Question 7
HERE IS A HINT:HERE IS A HINT: use the “to”/“per” trick!!!
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A
B
C
Use cross multiplication to find the value of the variable.
30
15
2 End Review
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755
2 x
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Question 8
HERE IS A HINT:HERE IS A HINT: Try using a calculator to make sure that your computation is correct. The first step should read:
2 • 75 = 5 • x
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C
John is a skilled free throw shooter. He can make 8 shots out of every 9 shots he takes. If John takes 72 shots, how many would he make at this rate?
72 shots made
71 shots made
64 shots made End Review
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Question 9
HERE IS A HINT:HERE IS A HINT: your proportion should be set-up with shots made in the numerator and shots attempted (the shots he takes) in the denominator
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B
C
Use the table below to predict how much it would cost to purchase 3 t-shirts.
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$16.25
$4.00
$3.75 I NEED HELP!
T-Shirts 2 4 5 8
Cost ($) 2.50 5.00 6.25 10.00
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Question 10
HERE IS A HINT: HERE IS A HINT: There are many methods you can use to solve this problem. First, you can set up a proportion and cross multiply… or you can find the cost of one shirt and multiply up to find the cost for 3… or you can find numbers that add or subtract to make 3 t-shirts, or you can find the “in between” if there is one, that would provide the cost for 3 t-shirts
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B
C End Review
tip
tax
discount I NEED HELP!
One of the terms below is different from the others. Which term is it?
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Did you know that this is correct because it is the only term that means you will have to subtract from the cost
rather then add?
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Question 11
HERE IS A HINT:HERE IS A HINT: Think about what operation each of these terms implies. Which ones will you have to add to the cost? Which ones will you need to subtract from the cost?
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A
B
C End Review
125
12.5
1.25 I NEED HELP!
What number is 5% of 250?
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Question 12
HERE IS A HINT:HERE IS A HINT:
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A
B
C End Review
25%
20%
500% I NEED HELP!
What percent of 360 is 72?
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Question 13
HERE IS A HINT:HERE IS A HINT: Did you place the correct numbers in the correct locations of your proportion based on the “is” and “of”?
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A
B
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Yes
No
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Laura painted her room with pink paint that was made by mixing paint at a ratio of 5 parts white paint to 2 parts red paint. Will a mixture of paint that is 15 parts white to 5 parts red create the same shade of
pink as the paint that Laura used? Use your knowledge of proportions to explain your answer
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You got the right answer but can you explain why? Set up a proportion to compare the two mixtures. Are the cross products in this proportion equal? No they are not, so that means the mixtures are not proportional! You can also think about it this way… the amount of white paint was tripled, if the amount of red paint were tripled, it would have to be 6 parts red and the second mixture is only 2 parts red.
5
15
2
5
red
white
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Question 14
End Review
You got the right answer but can you explain why? Set up a proportion to compare the two mixtures. Are the cross products in this proportion equal? No they are not, so that means the mixtures are not proportional! You can also think about it this way… the amount of white paint was tripled, if the amount of red paint were tripled, it would have to be 6 parts red and the second mixture is only 2 parts red.
5
15
2
5
red
white
A
B
C End Review
20 students
200 students
8 students I NEED HELP!
There are 40 students in Mrs. Schuman’s art class. If 20% of the students have a dog, how many students have a dog?
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Question 15
HERE IS A HINT:HERE IS A HINT: The percent is easy to place in our proportion so the only trouble we might have is the 40 students… does this number represent the whole class or just a part of the class?
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A
B
C End Review
$14.70
$27.30
$27.93 I NEED HELP!
Mr. Minnuto went to Lowes to buy paint for his daughter’s bedroom. A two gallon bucket of paint costs $42. However, when Mr. Minnuto went to check out he found a coupon that offered a discount of 35% off. How much will the gallon of paint cost Mr. Minnuto?
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Question 16
HERE IS A HINT:HERE IS A HINT: Did you answer the question that was asked? The question wanted to know what the final cost would be… that means you need to do something with the original cost and the discount.
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