Topic Test — Cumulative exam Answers

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Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

A
6 + StartFraction 3 Over n EndFraction minus 8
Option A
B
6 + StartFraction n Over 3 EndFraction minus 8
Option B
C
6 + StartFraction 3 Over n EndFraction + 8
Option C
D
6 + StartFraction n Over 3 EndFraction + 8
Option D
2
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Which of these is a ratio table?

A
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.
Option A
B
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.
Option B
C
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.
Option C
D
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Option D
4

Which point represents the ordered pair ?

Question illustration
A
point Q
B
point R
C
point S
D
point T
8

The graph below shows the number of cups of lemonade that Jermaine and Amelia sold using five different recipes.Lemonade Sold Using Different Recipes Which statement is supported by the graph?

Question illustration
A
They sold the least lemonade with the recipe that used 3 lemons.
B
They sold the least lemonade with the recipe that used 7 lemons.
C
They sold the most lemonade with the recipe that used 3 lemons.
D
They sold the most lemonade with the recipe that used 7 lemons.
9

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

Question illustration
A
She incorrectly broke up .
Option A
B
She incorrectly distributed the –9; she should have distributed 2.
C
She did not follow order of operations.
D
She incorrectly converted from an improper fraction to a mixed number.
10

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

Question illustration
A
Four-thirds
Option A
B
StartFraction 7 over 9 EndFraction
Option B
C
StartFraction 9 over 7 EndFraction
Option C
D
Three-fourths
Option D
11

Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

A
StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction
Option A
B
StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction
Option B
C
StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction
Option C
D
StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction
Option D
12

Rachel drew the two graphs below.Graph RGraph SRachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?

Question illustration
A
Rachel is correct; Graph S is nonproportional.
B
Rachel is correct; Graph R goes farther along the x-axis.
C
Rachel is not correct; both graphs go through the origin and have the same constant of variation.
D
Rachel is not correct; Graph S is steeper than Graph R.
13

What is the quotient?

Question illustration
A
Negative 5 and StartFraction 7 over 9 EndFraction
Option A
B
Negative 5 and two-thirds
Option B
C
3 and one-fourth
Option C
D
5 and StartFraction 7 over 9 EndFraction
Option D
16

Which expression has a value of ?

Question illustration
A
(StartFraction 1 Over 108 EndFraction) cubed
Option A
B
(StartFraction 1 Over 9 EndFraction) Superscript 4
Option B
C
(StartFraction 1 Over 6 EndFraction) squared
Option C
D
(one-half) Superscript 5
Option D
20

Which is the simplified form of ?

Question illustration
A
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
Option A
B
StartFraction 1 Over m Superscript 8 EndFraction
Option B
C
StartFraction p over m Superscript 8 EndFraction
Option C
D
m Superscript 8
Option D

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