Unit Test — Unit test Answers

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Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below. What mistake did Kendra make?

Question illustration
A
Kendra should have multiplied by 4 instead of multiplying by 2.
B
Kendra should have divided by 2 instead of multiplying by 2.
C
Kendra should have added 40 and 50.
D
Kendra should have subtracted 40 from 50.
2
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Which shows the correct way to use the rule “multiply by the reciprocal” for the expression below?

Question illustration
A
StartFraction 5 Over 1 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 45 Over 2 EndFraction
Option A
B
StartFraction 5 Over 1 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 10 Over 9 EndFraction
Option B
C
StartFraction 1 Over 5 EndFraction times StartFraction 9 Over 2 EndFraction = StartFraction 9 Over 10 EndFraction
Option C
D
StartFraction 1 Over 5 EndFraction times StartFraction 2 Over 9 EndFraction = StartFraction 2 Over 45 EndFraction
Option D
3

Which equation can be used to find 75 percent of 200?

A
StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction
Option A
B
StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction
Option B
C
StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction
Option C
D
StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction
Option D
4

What is 50% of 36?

A
9
B
16
C
18
D
34
5

Which expression can be used to determine 50% of 42?

A
42 minus 2
Option A
B
42 divided by 2
Option B
C
42 divided by 10
Option C
D
42 minus 10
Option D
6

How can 85% be broken down with friendly percents to find 85% of a number?

A
2(25%) + 3(10%)
B
3(25%) + 10%
C
5(10%) + 25%
D
4(10%) + 2(25%)
7

What is the product of and ?

Question illustration
A
6 and StartFraction 2 Over 11 EndFraction
Option A
B
8 and StartFraction 1 Over 24 EndFraction
Option B
C
8 and StartFraction 2 Over 11 EndFraction
Option C
D
9 and StartFraction 5 Over 24 EndFraction
Option D
8

A 22-ounce bowl of crackers contains 18 percent cheese crackers. Aida computed 18 percent of 22. Her work is shown below.18 percent of 22 Which statement explains Aida’s error?

Question illustration
A
Aida did not use 0.18 for 18 percent.
B
Aida did not multiply 1.8 and 22 correctly.
C
Aida did not use 0.018 for 18 percent.
D
Aida did not move the decimal point three places to the left in the answer.
9

Five friends are going to share of a pizza. How much of a whole pizza will each friend eat?Which equation can be used to solve the problem above?

Question illustration
A
5 divided by one-half = n
Option A
B
one-half divided by 5 = n
Option B
C
n divided by 5 = one-half
Option C
D
n divided by one-half = 5
Option D
10

Which expression can be used to find the quotient of 15 and ?

Question illustration
A
15 + one-third
Option A
B
15 minus one-third
Option B
C
15 times one-third
Option C
D
15 divided by one-third
Option D
11

Kerrie uses the work shown below to determine 35% of 280.Step 1: Step 2: 10% of 280 = = 28Step 3: 25% of 280 = = 70Step 4: 28 + 70 = 98She states that 35% of 280 is 98. Which is a true statement about Kerrie’s solution?

Question illustration
A
Kerrie’s solution is correct.
B
Kerrie incorrectly determined 10% in Step 2.
C
Kerrie incorrectly determined 25% in Step 3.
D
Kerrie incorrectly combined the solutions from Step 2 and Step 3 in Step 4.
12

Nate’s work to solve a math problem is shown below.Problem: Leona traveled 25 miles in of an hour. What was her average speed in miles per hour?Step 1:Step 2:Answer:What was Nate’s first error?

Question illustration
A
He used division instead of multiplication to model the problem in step 1.
B
He switched the divisor and the dividend when creating an equation to model the problem in step 1.
C
He replaced the wrong term with its reciprocal in step 2.
D
He should not have changed division to multiplication in step 2.
13

Which equation represents the unit fraction shown in the diagram?

Question illustration
A
StartFraction 20 Over 100 EndFraction = one-fifth
Option A
B
StartFraction 20 Over 100 EndFraction = two-fifths
Option B
C
StartFraction 20 Over 100 EndFraction = one-half
Option C
D
StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction
Option D
14

Which problem is best modeled by the equation ?

Question illustration
A
If 8 people each ate a cantaloupe, how many cantaloupes did they eat in all?
Option A
B
If of the boys on a basketball team are over six feet tall and there are 8 boys on the team, how many are over six feet tall?
Option B
C
If of the students in Joe’s math class earned As on the last test and 8 students earned As, how many students are in the class?
Option C
D
If 8 friends are going to share a tub of popcorn, what fraction of the tub will each person eat?
Option D
15

Which expression can be used to find 25 percent of 88?

A
StartFraction 1 Over 25 EndFraction times 88
Option A
B
One-fourth times 88
Option B
C
StartFraction 1 Over 0.25 EndFraction times 88
Option C
D
StartFraction 1 Over 40 EndFraction times 88
Option D
16

Janie has $180. She spends 50% of her money on a new pair of ice skates. How much does she spend on ice skates?

A
$18
B
$45
C
$90
D
$130
17

Shala bought a pen on sale. She saved 17 percent of the original price of $29. About how much money did she save?

A
$1
B
$5
C
$10
D
$20
18

Of the 800 people who visited the zoo on Monday, 65 percent were children. How many children visited the zoo on Monday?

Answer not available
19

Which explains how to determine 40% of 50?

A
Find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.
B
Find 10% of 50 by dividing 50 by 10. Then multiply the result by 40.
C
Find 50% of 40 by dividing 40 by 2. Then multiply the result by 4.
D
Find 50% of 40 by dividing 40 by 2. Then multiply the result by 40.
20

There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property?

A
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
Option A
B
StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction
Option B
C
StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction
Option C
D
StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Option D

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