Answers Common Core Math 7 - MA3107 CRPercent Increase and Decrease

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Jillian is using integer tiles to add . She uses the steps below.Step 1Step 2Step 3Step 4Jillian has made an error. In which step does it occur?

Step 1

Step 2

Step 3

Step 4

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What is the quotient?

Negative 1 and one-half

Negative StartFraction 3 over 32 EndFraction

StartFraction 3 over 32 EndFraction

1 and one-half

Theo used a map that had a ratio of to plan a road trip. He found that the distance on the map from New York City, NY, to Washington, DC, was 14.4 centimeters. How many miles would he have to drive to make that trip?

10.4

43.2

240

720

What is the sum of 16.87 + (–98.35)?

–115.22

–81.48

81.48

115.22

Which expression is equivalent to –21.8 – (–18.3)?

–21.8 + 18.3

–21.8 – 18.3

21.8 + 18.3

21.8 – 18.3

Frida applied the steps below to find the product of (–1.2)(–9.4).Step 1: (–1.2)(–9.4) = (–9.4)(–1.2)Step 2: = (–9.4)(–1) + (–9.4)(–0.2)Step 3: = (9.4) + (1.88)Step 4: = 11.28Which step shows where she applied the property that states multiplying two negative numbers will always yield a positive number?

During Step 1

Between Step 1 and Step 2

Between Step 2 and Step 3

During Step 4

Which is equivalent to 3.25%?

0.0325

0.325

32.5

325

According to the information in the table, who is the fastest typist?Words Typed by Four TypistsTypistWords TypedMinutes TypingElla64016Harper45015Owen56014Shaquille54012

Ella

Harper

Owen

Shaquille

A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent.

$8.80

$10.07

$13.43

$14.39

Helene, a hiker, starts at an elevation of 27 feet above sea level and descends 32 feet during her hike to base camp. Which describes the elevation of base camp?

5 feet above sea level

5 feet below sea level

59 feet above sea level

59 feet below sea level

Antwan determines the distance between the points –7 and 2 on a numberline. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?

Maggie’s solution is the absolute value of Antwan’s solution.

Antwan’s solution is the absolute value of Maggie’s solution.

Both solutions are greater than either of the two numbers in the problem.

Both solutions are less than either of the two numbers in the problem.

The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5.Which graph shows the original rectangle?

On a coordinate plane, a rectangle has a length of 18 and width of 4.

On a coordinate plane, a rectangle has a length of 8 and width of 2.

On a coordinate plane, a rectangle has a length of 8 and width of 3.

On a coordinate plane, a rectangle has a length of 12 and width of 3.

Twenty percent of the 640 pitches Kendall threw last year were strikes. Which table can be used to find the number of strikes she threw?

Number of Pitches

A rectangular magazine cover is photocopied by using a scale factor of . The length of the photocopy of the magazine cover is

enlarged by a factor of 3.

enlarged by a factor of .

reduced by a factor of 3.

reduced by a factor of .

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction

StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction

StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction

StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction

StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Aimee noticed her plant grew of an inch every week since it sprouted. She created this graph to show its growth.Which statement about Aimee’s graph is true?

Aimee’s graph is correct because the ratio is equal to 2:3, which her graph shows in each point.

Aimee’s graph is incorrect because the ratio is equal to 3:2, so she should have switched her points.

Aimee’s graph is correct because it shows 3 inches of plant growth every two weeks.

Aimee’s graph is incorrect because it shows 2 inches of plant growth with each point instead of of an inch.

Raj was friends with his waitress so he left her a 90 percent tip.PercentsTotal90%10%100%10%10%10%10%10%10%10%10%10%10% xIf his tip was $27.54, what is the value of x in the table above?

$24.48

$24.79

$27.54

$30.60

The new number, 550, is 200 more than the original number. What is the approximate percent change?

The percent change is approximately 33%.

The percent change is approximately 55%.

The percent change is approximately 150%.

The percent change is approximately 175%.

What is the solution to ?

–8

–6

Renee used the values in the table to calculate simple interest. Principal$750Interest rate?Time11 yearsInterest$412.50Which interest rate is missing from Renee’s table?

0.05%

0.5%

50%

Breanna set up her media player and created a graph to show what she saved on it. What does point A represent on the graph?

Breanna has 40 songs for every 3 games on her media player.

Breanna has 2 songs for every 3 games on her media player.

Breanna has 37 more songs for each game on her media player.

Breanna has 1 more game for each song on her media player.

Which diagram shows a percent equivalent to ?

An area model with 60 shaded sections and 40 unshaded sections.

An area model with 65 shaded sections and 35 unshaded sections.

An area model with 75 shaded sections and 25 unshaded sections.

An area model with 80 shaded sections and 20 unshaded sections.

Alan solved the proportion as shown.What is Alan’s error?

He got the wrong product when he multiplied 25 by 200.

He got the wrong quotient when he divided 5,000 by 8.

He mixed up the positions of 8 and 25 in the equation .

He mixed up the positions of 8 and 200 in the equation .

Kale is hiking 2,345 feet above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level. What is the vertical distance between Kale and the mountain peak?

938 feet

942 feet

1,142 feet

5,628 feet

Kari estimated the quotient of to be –8. Which best describes her error?

Kari multiplied the compatible numbers –12 and 4.

Kari found that the quotient of a negative number and a positive number is negative.

Kari found that the quotient of a positive number and a negative number is positive.

Kari added the compatible numbers –12 and 4.

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