AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Presidential Election of 1860 — Unit test Answers

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The distance between the elementary school and the middle school is 4 miles. On the map, the two locations are inch apart. What is the scale of the map?

Question illustration
A
1 inch = 8 miles
B
1 inch = mile
Option B
C
inch = 1 mile
Option C
D
4 inches = 1 mile
2
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What is the value of x in the proportion below?

Question illustration
A
6
B
9
C
12
D
60
3

Brian can type pages every 20 minutes. How many pages can he type in 2.5 hours?

Question illustration
A
7.5 pages
B
10 pages
C
22.5 pages
D
200 pages
4

Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem?

A
StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction
Option A
B
StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction
Option B
C
StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction
Option C
D
StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction
Option D
5

What is the value of x in the proportion below?

Question illustration
A
2
B
3
C
10
D
75
6

The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5.Which graph shows the original rectangle?

Question illustration
A
On a coordinate plane, a rectangle has a length of 18 and width of 4.
Option A
B
On a coordinate plane, a rectangle has a length of 8 and width of 2.
Option B
C
On a coordinate plane, a rectangle has a length of 8 and width of 3.
Option C
D
On a coordinate plane, a rectangle has a length of 12 and width of 3.
Option D
7

The scale drawing below shows an enlargement by a scale factor of 2. What is the missing side length in the original trapezoid?

Question illustration
A
4.5
B
9
C
13.5
D
18
8

The map below shows the path that Jin walked this morning. According to his pedometer, the total distance of this path was 2.3 kilometers.What is the scale of the map?

Question illustration
A
1 centimeter = 2 kilometers
B
1 centimeter = 5 kilometers
C
2 centimeters = 1 kilometer
D
5 centimeters = 1 kilometer
9

On the map, the grocery store is 2 inches away from the library. The actual distance is 1.5 miles. The same map shows that the movie theater is 20 inches from the school. What is the actual distance from the movie theater to the school, rounded to the nearest mile?

A
15
B
27
C
30
D
60
10

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

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

A rectangular magazine cover is photocopied by using a scale factor of . The length of the photocopy of the magazine cover is

Question illustration
A
enlarged by a factor of 3.
B
enlarged by a factor of .
Option B
C
reduced by a factor of 3.
D
reduced by a factor of .
Option D
12

Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile?

A
2.6
B
6.2
C
38.5
D
61.6
13

Which of the following statements are true for using proportions to solve for missing measures? Select three options.

A
Corresponding dimensions must be in different positions in the ratios.
B
Corresponding dimensions must be in the same position in the ratios.
C
The two ratios in the proportion are equal.
D
The enlargement or reduction is proportional to the original figure.
E
The scale factor will be different for each ratio.
14

The regular pentagon below is a scale drawing of an original pentagon that was made by using a scale factor of . If each side of the pentagon has the same measure, which applies to the original pentagon? Select three options.

Question illustration
A
The scale drawing represents a reduction.
B
Each side of the original is 22 inches long.
C
One side of the model can be 1.375 inches.
D
The scale drawing is proportional to the original.
E
The scale factor is multiplied by 5.5 to get the dimensions of the original.
15

Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is shown below. Not drawn to scaleWhat is the height of the town’s new water tower in feet? Round to the nearest whole number.

Question illustration
A
22 feet
B
40 feet
C
63 feet
D
113 feet

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