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Unit Test — Unit test Answers

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Which graph represents a proportional relationship?

A
On a coordinate plane, a straight line with positive slope goes through points (0, 0), (1, 2), and (2, 4).
Option A
B
On a coordinate plane, a vertical line is at x = negative 3.
Option B
C
On a coordinate plane, a horizontal line is at y = 3.
Option C
D
On a coordinate plane, a curved line goes through the origin.
Option D
2
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Which ordered pair would form a proportional relationship with the point graphed below?

Question illustration
A
(10, –20)
B
(–30, 20)
C
(–10, 5)
D
(35, –20)
3

Which equation represents a proportional relationship that has a constant of proportionality equal to –10?

A
y = x minus 10
Option A
B
y = StartFraction over negative 10 EndFraction
Option B
C
y = negative 10 x
Option C
D
y = negative 10
Option D
4

Which table represents the same proportional relationship as the equation ?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0.5, 2, 3, 6. Column 2 is labeled y with entries 36.5, 38, 39, 42.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0.5, 2, 3, 6. Column 2 is labeled y with entries 64, 18, 12, 6.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0.5, 2, 3, 6. Column 2 is labeled y with entries 18, 72, 108, 216.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0.5, 2, 3, 6. Column 2 is labeled y with entries 36, 36, 36, 36.
Option D
5

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
6

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
7

If there are 5 apples to every 3 oranges in a bin, which graph represents the proportional relationship of the fruit in the bin?

A
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (3, 5) and (6, 10) are plotted.
Option A
B
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (4, 3) and (8, 6) are plotted.
Option B
C
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (8, 3) and (16, 6) are plotted.
Option C
D
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (5, 3) and (10, 6) are plotted.
Option D
8

What does point B represent on the graph?John’s EarningsHours WorkedMoney1$7.002$14.003$21.00

Question illustration
A
John earns $14.00 each hour.
B
John earns $14.00 for two hours of work.
C
John earns $7.00 for two hours of work.
D
John earns $7.00 for four hours of work.
9

Which table represents the same proportional relationship as the graph?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 3, 6, 9. Column 2 is labeled y with entries 0, 4, 8, 12.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 3, 6, 9. Column 2 is labeled y with entries 1.33, 4, 8, 12.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 12. Column 2 is labeled y with entries 0.75, 3, 6, 9.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 12. Column 2 is labeled y with entries 0, 3, 5, 9.
Option D
10

Which equation represents a proportional relationship that has a constant of proportionality equal to ?

Question illustration
A
y = x + StartFraction 4 over 5 EndFraction
Option A
B
y = StartFraction 4 over 5 EndFraction x
Option B
C
x y = StartFraction 4 over 5 EndFraction
Option C
D
x + y = StartFraction 4 over 5 EndFraction
Option D
11

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
12

Antonio jogs 2 laps every 5 minutes. Which point represents this relationship?

Question illustration
A
A
B
B
C
C
D
D
13

Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one.Blueberry Breakfast TreatsNumber of Batches1234Cups of Blueberries------If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?

Question illustration
A
A
B
B
C
C
D
D
14

Which table of ordered pairs represents a proportional relationship?

A
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries 4, 16, 36.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 4, negative 6, negative 8. Column 2 is labeled y with entries negative 8, negative 12, negative 18.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 5, negative 7. Column 2 is labeled y with entries 5, 3, 1.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 6, negative 9. Column 2 is labeled y with entries 12, 24, 36.
Option D
15

Mika wrote the table of points below. xy023568Which explains whether or not Mika has described a proportional relationship, and why?

A
Mika has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
B
Mika has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
C
Mika has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
D
Mika has described a proportional relationship because the line does not pass through the origin.
16

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
17

Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?Number of Puzzles(x)Number of Pieces(y)44206630

A
8 puzzles and 800 pieces
B
8 puzzles and 840 pieces
C
10 puzzles and 1,000 pieces
D
10 puzzles and 1,200 pieces
18

Which table of ordered pairs represents a proportional relationship?

A
A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 8, 11, 14.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 25, 49, 81.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 10, 14. Column 2 is labeled y with entries 3, 5, 7.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 8, 13. Column 2 is labeled y with entries 6, 11, 18.
Option D
19

Ming wrote the table of points below. xy51010201530Which explains whether or not Ming has described a proportional relationship, and why?

A
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
B
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
C
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
D
Ming has described a proportional relationship because the line does not pass through the origin.
20

In the map below, is parallel to .What is the distance between S and T? If necessary, round to the nearest tenth.

Question illustration
A
21.3 km
B
60.8 km
C
108 km
D
117 km

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