Scale Factor Answers

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When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

A
6 percent increase
B
9 percent increase
C
10 percent increase
D
90 percent increase
2
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Jakob simplified the expression as shown. What was Jakob’s error in subtracting the expressions?

Question illustration
A
He used the commutative property incorrectly.
B
He used the distributive property incorrectly.
C
He used the associative property incorrectly.
D
He simplified the x coefficients incorrectly.
3

What is the sale price of a phone that was originally $199 but that has been marked down by 15 percent?

A
$159.15
B
$159.20
C
$169.10
D
$169.15
4

Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.Percent ErrorItemApproximate valueExact valueErrorAbsolute errorRatioPercent errorPicture frames9988 ab

A
a = StartFraction 11 over 99 EndFraction; b = 11.1 percent
Option A
B
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
Option B
C
a = StartFraction 88 over 99 EndFraction; b = 88.9 percent
Option C
D
a = StartFraction 11 over 11 EndFraction; b = 100 percent
Option D
5

What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?

A
–16.9y – 5.5x
B
–16.9y – 4.5x
C
–6.5y – 2.1x
D
–6.5y – 1.1x
6

Which pair shows equivalent expressions?

A
mc018-1.jpg
Option A
B
mc018-2.jpg
Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
7

Mike paid $18.00 before taxes for 5 photo albums. His sister wants to buy two of the same type of album. What amount should she expect to pay before taxes?

A
$3.60
B
$7.20
C
$9.00
D
$13.00
9

Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.Project GradingDayHours GradingMondayTuesdayWednesdayThursday2FridayHow many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?

Question illustration
A
hours
Option A
B
hours
Option B
C
hours
Option C
D
hours
Option D
10

Use the diagram to solve. What is 135% of 280?PercentTotal100%5%5%5%5%5%5%5%135%

A
315
B
378
C
525
D
560
11

Paul drives his delivery van 675 miles in 3 days. At this rate, how far will he drive in 15 days?

A
45 miles
B
225 miles
C
2,025 miles
D
3,375 miles
12

Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step: 1. Find the positive difference between the original number and the new number.2. ________________________3. ________________________4. Round the answer if necessary.They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?

A
2. Divide the difference by the original number.3. Multiply the quotient by 100 to change it from a decimal to a percent.
B
2. Divide the difference by the new number.3. Multiply the quotient by 100 to change it from a decimal to a percent.
C
2. Divide the difference by the original number.3. Multiply the quotient by 10 to change it from a decimal to a percent.
D
2. Divide the difference by the new number.3. Multiply the quotient by 10 to change it from a decimal to a percent.
13

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

A
–90
B
–78
C
–66
D
–12
14

Kyoko is reading a book by her favorite author. She read the first 20 pages in of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.Reading TimeAccording to the graph, which statement must be true?

Question illustration
A
It will take her 2 hours to read 60 pages.
B
It will take her 3 hours to read 120 pages.
C
It will take her 4 hours to read 180 pages.
D
It will take her 5 hours to read 210 pages.
15

Which question can be represented by the expression?

Question illustration
A
Judy is on page y of a 120-page book. How many more pages must she read to finish the book?
B
Judy plans to read a 120-page book. If she reads y pages per day, how many days will it take her to finish the book?
C
Judy plans to read a book with y pages. If she reads 120 pages per week, how many weeks will it take her to finish the book?
D
Judy is on page 120 of a book with y pages. How many more pages must she read in order to finish the book?
16

Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them?

A
10%
B
20%
C
25%
D
30%
17

A car travels 18 miles per gallon of gas used. Which equation best represents the proportional relationship between the y miles that the car has traveled and the x gallons of gasoline that it has used?

A
y = StartFraction 18 over x EndFraction
Option A
B
y = 18 x
Option B
C
y = StartFraction x over 18 EndFraction
Option C
D
y = x + 18
Option D
18

A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent markup, and each book will be sold for the same amount. How much will they sell each book in the case for?

A
$8.40
B
$10.50
C
$105.00
D
$105.80
20

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?Number of Teachers

Question illustration
A
StartFraction 1 over 25 EndFraction
Option A
B
StartFraction 1 over 20 EndFraction
Option B
C
StartFraction 1 over 15 EndFraction
Option C
D
StartFraction 1 over 10 EndFraction
Option D

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