AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Presidential Election of 1860 — Unit test Answers

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On a map, Melbourne, Australia, is 22 centimeters from Sydney, Australia. The actual distance is 880 kilometers. If Canberra, Australia, is 286 kilometers from Sydney, how far apart will they appear on the map, to the nearest centimeter?

A
3 centimeters
B
7 centimeters
C
13 centimeters
D
68 centimeters
2
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What is the value of p in the proportion below?

Question illustration
A
2
B
10
C
40
D
72
3

Which is the scale factor proportion for the enlargement shown? Not drawn to scale

Question illustration
A
StartFraction 1 over x EndFraction = StartFraction 2 over 6 EndFraction
Option A
B
StartFraction 1 over x EndFraction = StartFraction 6 over 2 EndFraction
Option B
C
StartFraction 1 over 6 EndFraction = StartFraction 2 over x EndFraction
Option C
D
One-half = StartFraction 6 over x EndFraction
Option D
4

Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.

A
104 inches
B
146 inches
C
154 inches
D
168 inches
5

The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3 miles, how far did Amir run?

A
mile
Option A
B
mile
Option B
C
1 miles
Option C
D
6 miles
6

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed?

A
3 teams
B
8 teams
C
12 teams
D
24 teams
7

The diagram represents the enlargement of a rectangle by using a scale factor of 6. What are the dimensions of the original rectangle?

Question illustration
A
5 feet by 1 foot
B
5 feet by 6 feet
C
25 feet by 1 foot
D
180 feet by 36 feet
8

If a scale factor of is used to make a reduction, what is the base of the original triangle? Original triangleReduced triangleHeight 3Base 5

Question illustration
A
1
B
10
C
15
D
25
9

Devon made a scale drawing of a triangle. He used a scale factor of to draw the new triangle. How does each side of the new triangle compare to the original?

Question illustration
A
Each side of the new triangle is the length of each side of the original
Option A
B
Each side of the new triangle is the length of each side of the original
Option B
C
Each side of the new triangle is 4 times the length of each side of the original
D
Each side of the new triangle is 12 times the length of each side of the original
10

Which is the scale factor proportion for the reduction shown?

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over original base EndFraction = StartFraction reduction height over original base EndFraction
Option B
C
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option C
D
StartFraction original height over reduction base EndFraction = StartFraction original base over reduction height EndFraction
Option D
11

A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is

A
enlarged by a factor of 2.
B
enlarged by a factor of .
Option B
C
reduced by a factor of 2.
D
reduced by a factor of .
Option D
12

On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales?

A
StartFraction 14 over 6 EndFraction = StartFraction 3 over 7 EndFraction
Option A
B
StartFraction 14 over 6 EndFraction = StartFraction 7 over 3 EndFraction
Option B
C
StartFraction 6 over 14 EndFraction = StartFraction 7 over 3 EndFraction
Option C
D
StartFraction 3 over 7 EndFraction = StartFraction 14 over 6 EndFraction
Option D
13

The distance between the library and the grocery store is 4 centimeters on the map. The actual distance is 12 kilometers. What is the scale of the map?

A
1 centimeter = 3 kilometers
B
1 centimeter = kilometer
Option B
C
4 centimeters = 1 kilometer
D
12 centimeters = 1 kilometer
14

The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map?

A
StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction
Option A
B
StartFraction 2 over 15 EndFraction = StartFraction x over 30 EndFraction
Option B
C
StartFraction 15 over 30 EndFraction = StartFraction 2 over x EndFraction
Option C
D
StartFraction 15 over 30 EndFraction = StartFraction x over 2 EndFraction
Option D
15

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

A
StartFraction 40 over 1 EndFraction = StartFraction 120 over 3 EndFraction
Option A
B
StartFraction 1 over 40 EndFraction = StartFraction 120 over 3 EndFraction
Option B
C
StartFraction 40 over 3 EndFraction = StartFraction 120 over 1 EndFraction
Option C
D
StartFraction 1 over 40 EndFraction = StartFraction 120 over 3 EndFraction
Option D
16

Consider the reduction of the rectangle. Not drawn to scaleRounded to the nearest tenth, what is the value of x?

Question illustration
A
0.1 feet
B
0.6 feet
C
1.6 feet
D
2.0 feet
17

On a map, San Francisco is 7.5 inches from San Diego. The actual distance is 500 miles. The same map shows that Fresno is 3.3 inches from Los Angeles. To the nearest mile, what is the actual distance from Fresno to Los Angeles?

A
67 miles
B
151 miles
C
220 miles
D
1,136 miles
18

The diagram represents an enlargement of a rectangle by a scale factor of 4. What are the dimensions of the enlarged rectangle?

Question illustration
A
1 inch by inch
Option A
B
8 inches by 6 inches
C
16 inches by inch
Option C
D
16 inches by 8 inches
19

The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find the distance on the map, x, that represents 50 miles?

A
StartFraction 5 over 200 EndFraction = StartFraction x over 50 EndFraction
Option A
B
StartFraction 200 over 5 EndFraction = StartFraction x over 50 EndFraction
Option B
C
StartFraction 50 over 200 EndFraction = StartFraction 5 over x EndFraction
Option C
D
StartFraction 5 over 50 EndFraction = StartFraction x over 200 EndFraction
Option D
20

One box of crackers costs $1.75. The crackers are advertised as “3 boxes for $5.25.” Which proportion can be used to represent the cost of the crackers?

A
StartFraction 1 over 1.75 EndFraction = StartFraction 3 over 5.25 EndFraction
Option A
B
StartFraction 1 over 1.75 EndFraction = StartFraction 5.25 over 3 EndFraction
Option B
C
StartFraction 1.75 over 1 EndFraction = StartFraction 3 over 5.25 EndFraction
Option C
D
StartFraction 5.25 over 1.75 EndFraction = one-third
Option D

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