Unit Test — Cumulative exam Answers

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Kirsty makes orange-strawberry punch. The table shows how many parts orange juice and strawberry juice to make one batch.Orange-Strawberry PunchParts Orange Juice4Parts Strawberry Juice5Kirsty decides to increase the strawberry juice by one part. What is the new ratio of strawberry juice to orange juice?

A
For every 4 parts orange juice there are 4 parts strawberry juice.
B
For every 5 parts orange juice there are 4 parts strawberry juice.
C
For every 4 parts orange juice there are 6 parts strawberry juice.
D
For every 5 parts orange juice there are 6 parts strawberry juice.
2
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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?

A
Maggie’s solution is the absolute value of Antwan’s solution.
B
Antwan’s solution is the absolute value of Maggie’s solution.
C
Both solutions are greater than either of the two numbers in the problem.
D
Both solutions are less than either of the two numbers in the problem.
3

A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1 cup of water?

A
StartFraction 4 carrots Over 2 cups of water EndFraction
Option A
B
StartFraction 4 cups of water Over 2 carrots EndFraction
Option B
C
StartFraction 2 carrots Over 4 cups of water EndFraction
Option C
D
StartFraction 2 cups of water Over 4 carrots EndFraction
Option D
4

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?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
5

Coach DeCaro records the cross country runners’ times compared to their personal best times.3K TimesRunnerTime compared to personal bestGregor+5.6Hiroki–11.6Isabelle+3.2Juan0Karen–5.2Which runners ran slower than their personal best?

A
Juan
B
Gregor and Isabelle
C
Gregor, Isabelle, and Juan
D
Hiroki and Karen
7

Lucy wants to divide 18.6 by 1.2. In order to estimate the quotient, which is the best expression to use?

A
10 divided by 1
Option A
B
10 divided by 2
Option B
C
20 divided by 1
Option C
D
20 divided by 2
Option D
8

Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?

A
73 rotations
B
83 rotations
C
780 rotations
D
880 rotations
9

Miguel completed the division problem below. What is Miguel’s error?

Question illustration
A
He included a 5 in the quotient, which does not belong.
B
He multiplied the divisor by 10 and the dividend by 100.
C
He subtracted 208 from 234 incorrectly.
D
He multiplied the divisor by 100 and the dividend by 10.
10

Based on the table below, what is the relationship between cups and tablespoons?VolumeCupsTablespoons4645806967112

A
The number of cups is of the number of tablespoons.
Option A
B
The number of cups is of the number of tablespoons.
Option B
C
The number of cups is 4 times the number of tablespoons.
D
The number of cups is 16 times the number of tablespoons.
11

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?

A
5 feet above sea level
B
5 feet below sea level
C
59 feet above sea level
D
59 feet below sea level
12

Starr drives 495 miles in 9 hours. How many miles does Starr drive in 15 hours?

A
825 miles
B
975 miles
C
1,040 miles
D
1,375 miles
13

Which expression is represented by the set of algebra tiles below?

Question illustration
A
x + 6
Option A
B
x minus 6
Option B
C
6 minus x
Option C
D
6 x minus 1
Option D
14

Which scenario could be represented by the algebraic expression ?

Question illustration
A
Ahmed wants to know how much money he would make after 12 hours of work.
B
Ahmed wants to know the height of a building if each floor is 12 feet high.
C
Ahmed wants to know how many half-inch pieces are in a foot.
D
Ahmed wants to know how many floors are in an office building when each floor is 12 feet high.
15

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.Metric Tablekilo-hecto-deka-unitdeci-centi-milli-1,0001001010.10.010.001

A
To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
B
To find the number of meters in 9,382 centimeters, move the decimal point 2 units to the right.
C
To find the number of kilometers in 6.39 decimeters, move the decimal point 3 units to the left.
D
To find the number of dekameters in 18 kilometers, move the decimal point 3 units to the right.
16

Jamaal has 20 models of planes and cars. He has three times as many cars as planes. What is the ratio of his cars to total models?

A
1:4
B
3:1
C
3:4
D
4:3
17

Mable’s cookie recipe calls for of a cup of flour. Her mother’s recipe calls for as much as Mable’s. How many cups of flour does her mother’s recipe require?

Question illustration
A
StartFraction 1 Over 12 EndFraction
Option A
B
One-half
Option B
C
1 and one-half
Option C
D
1 and StartFraction 5 Over 12 EndFraction
Option D
18

When multiplying the fractions and , what is the product of the denominators?

Question illustration
Answer not available
19

Dierdre’s work to solve a math problem is shown below.Problem: How many -foot pieces can be cut from a 12-foot length of ribbon?Step 1:Step 2:Step 3:Step 4:Answer:What was Dierdre’s first error?

Question illustration
A
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
B
She used an improper fraction in step 2 that is not equivalent to .
Option B
C
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
D
She reduced the fraction in step 4 incorrectly.
20

Which list orders –3.216, 5.34, –3.62, –1.8, and 5.4 from greatest to least?

A
5.4, 5.34, –1.8, –3.216, –3.62
B
–3.62, –3.216, –1.8, 5.34, 5.8
C
–1.8, –3.216, –3.62, 5.34, 5.4
D
5.34, 5.4, –1.8, –3.62, –3.216

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