Answers FL-1205040-MJ Grade 7 Mathematics A-CRUnit Test

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What is the value of the expression below?

2.5

4.875

11.375

26.4

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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?

$3.60

$7.20

$9.00

$13.00

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Yuuma applied the steps below to find the product of (–10.2)(–16.4).Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)Step 2: = (–16.4)(–10) + (–16.4)(–0.2)Step 3: = ____________Step 4: = 167.28Which expression correctly fills in the blank in Step 3?

(–164) + (–3.28)

164 – 3.28

(–164) + 3.28

164 + 3.28

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Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?

Negative 24 divided by negative 4 = 6

Negative 24 divided by 4 = negative 6

24 divided by 3 = 8

24 divided by negative 3 = negative 8

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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

StartFraction 1 over 25 EndFraction

StartFraction 1 over 20 EndFraction

StartFraction 1 over 15 EndFraction

StartFraction 1 over 10 EndFraction

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Diego cut 7 smaller boards of equal length from a board that is feet long. How long is each of the 7 smaller boards?

Four-thirds

StartFraction 7 over 9 EndFraction

StartFraction 9 over 7 EndFraction

Three-fourths

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Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?Item AmountSoup$3.75Shrimp scampi$15.00 Iced tea$2.60Dessert$4.25

$26.22

$30.72

$32.00

$35.82

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Using the order of operations, what should be done first to evaluate ?

Subtract 5 from 3.

Divide 10 by –5.

Add 6 and 10.

Evaluate .

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What is the quotient?

Negative 5 and StartFraction 7 over 9 EndFraction

Negative 5 and two-thirds

3 and one-fourth

5 and StartFraction 7 over 9 EndFraction

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The price of a gallon of gasoline dropped by $0.08 on Wednesday and by a quarter (0.25) of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday?

–0.32

–0.02

0.02

0.32

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In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?

–273.15°C

–272.7°C

–202.5°C

–116.15°C

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What is the simple interest value missing in the table? Principal$2,500Interest rate3.5%Time5 yearsInterest?

$43.75

$437.50

$4,370.50

$43,750.00

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Genevieve is buying a car audio system that consists of a stereo, speakers, and amplifiers. She is choosing between 5 types of stereos and 2 types of amplifiers. If she has a total of 30 choices, how many types of speakers must there be?

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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?

It will take her 2 hours to read 60 pages.

It will take her 3 hours to read 120 pages.

It will take her 4 hours to read 180 pages.

It will take her 5 hours to read 210 pages.

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

315

378

525

560

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What is the product of ?

–81

–1

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If the relationship is proportional, what is the missing value from the table?xy–39–5?–721

–18

–15

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Lenore borrowed $400 to pay for car repairs. She needs to pay it back in 2 years with simple interest. Lenore wants to figure out the interest rate of her loan. What additional information does she need to find the interest rate?

principal

amount of time

interest she will owe

the type of car repairs

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Shane is trying to figure out how much one magazine would cost if 12 magazines cost $36. Shane did the math and got $45 as the answer.Is Shane’s answer reasonable?

Shane’s answer is not reasonable because one magazine should cost less than $36.

Shane’s answer is reasonable because one magazine should cost more than $36.

Shane’s answer is not reasonable because one magazine should cost $36.

Shane’s answer is reasonable because one magazine should cost $12.

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Carmen is simplifying the expression . She recognizes that 0.93 and 0.07 will combine to equal 1, so she would like to find that sum before she adds 6.21. Which property will allow Carmen to do this without changing the value of the expression?

associative property

commutative property

distributive property

identity property

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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?

6 percent increase

9 percent increase

10 percent increase

90 percent increase

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

$159.15

$159.20

$169.10

$169.15

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Giovanna used the calculations below to determine the height of a stack of 7 books that are each inches thick. What was her error?

The fraction was not simplified in the last step.

Seven was not multiplied by .

There should be a subtraction step, not an addition step.

Two should have been multiplied by .

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Guillermo used the fact that a highway bus traveled 275 miles in 5 hours to find the unit rate. How can he check his answer?

Multiply the unit rate by 5 hours and see if it equals the total distance.

Multiply the unit rate by 5 hours and see if it equals the total time.

Multiply the unit rate by 275 miles and see if it equals the total distance.

Multiply the unit rate by 275 miles and see if it equals the total time.

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Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?

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The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?

a coin with one side representing a win and the other representing a loss

a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss

a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss

an 8-sided die with 5 sides representing a win and 3 sides representing a loss

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?

$8.40

$10.50

$105.00

$105.80

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

$8.38 per quart

$8.49 per quart

$8.57 per quart

$8.92 per quart

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?

10%

20%

25%

30%

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

StartFraction 1 over 729 EndFraction

StartFraction 1 over 216 EndFraction

StartFraction 1 over 18 EndFraction

StartFraction 1 over 6 EndFraction

Catron evaluates the expression using the steps below.Step 1: Step 2: Step 3: Step 4: Solution: Which describes Catron’s error?

She incorrectly broke up .

She incorrectly distributed the –9; she should have distributed 2.

She did not follow order of operations.

She incorrectly converted from an improper fraction to a mixed number.

Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed pounds. Ari’s bag of oranges that he bought weighed pounds. Using compatible fractions, estimate how much heavier Ari’s bag is compared to Juan’s bag.

pounds

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 52 EndFraction) (StartFraction 11 over 52 EndFraction)

(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 51 EndFraction) (StartFraction 11 over 50 EndFraction)

(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction)

(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 51 EndFraction) (StartFraction 13 over 50 EndFraction)

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?

y = StartFraction 18 over x EndFraction

y = 18 x

y = StartFraction x over 18 EndFraction

y = x + 18

Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?

Carmen’s prediction is exact because is 25.

Carmen’s prediction is low because is 50.

Carmen’s prediction is low because is 100.

Carmen’s prediction is high because is 8.

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.

Negative 1 and one-fourth

Negative one-fourth

One-fourth

1 and one-fourth

Allison is evaluating the expression using integer tiles. She begins with 5 negative tiles as shown.What should Allison do next to find the value of the expression?

remove 2 negative tiles

remove 3 negative tiles

add 2 negative tiles

add 7 negative tiles

What is the difference of –96.43 – (–98.67)?

–195.1

–2.24

2.24

195.1

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?

–90

–78

–66

–12

Which of the following values could represent the probabilities of complementary events?

and

28% and 82%

and

10% and 80%

Four spinners with distinct sections of equal area are spun 40 times. Which spinner is most likely to produce actual results closest to the predicted results?

a spinner with 2 sections

a spinner with 5 sections

a spinner with 8 sections

a spinner with 10 sections

A clothing shop is offering a 12 percent discount for senior citizens. Which equation represents the discount price?

discount price = 1 - (original price)(0.88)

discount price = (original price)(1 – 0.12)

discount price = (original price)(0.12)

discount price = 1 – (original price)(0.12)

For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day?

–30 minutes

–11 minutes

11 minutes

30 minutes

Tobie is estimating the sum of the expression -50+51.Which reasoning would lead Tobie to the right answer?

–50 + 50 is equal to -100 plus -1 is -101.

–50 + 50 is equal to zero plus -1 is -1.

–50 + 50 is equal to zero plus 1 is 1.

–50 + 50 is equal to 100 plus 1 is 101.

What are the steps for using integer tiles to evaluate the expression ?

Start with 15 tiles and separate them into 3 same-sized groups.

Start with 45 tiles and separate them into 15 same-sized groups.

Assemble 45 groups of 3 tiles each.

Assemble 45 groups of 15 tiles each.

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

StartFraction 1 over 6 EndFraction

One-fifth

One-third

One-half

Isaiah has $20 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table.Prices at Four Bowling AlleysBowling AlleyPrice per GameA$4.25B$5.25C$3.75D$3.50Which can he afford?

4 games at bowling alley B

5 games at bowling alley C

5 games at bowling alley A

6 games at bowling alley D

Julio predicted that the average high temperature for January would be . The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?

–11°C

–3°C

3°C

11°C

Matthew plots an integer on a number line that has an absolute value of 119. Gabrielle plots a different integer on the same number line that also has an absolute value of 119. Which two integers could Matthew and Gabrielle have plotted?

0 and 119

0 and –119

119 and –119

119 and 238

Laura determined the difference between 8 and –2 using the additive inverse. Her steps are shown below. Which best describes the error in Laura’s work?

The 8 should have remained positive.

The 2 should have remained negative.

The addition of –8 and 2 was computed incorrectly.

The 8 should have remained positive, and the 2 should have remained negative.

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