AnswersCommon Core Math 7 A-ICUnit Test

Unit Test — Unit test Answers

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Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30 cases of water? Water Prices by the CaseNumber of casesPrice in dollars1566.002088.0035154.00

A
$99.00
B
$119.00
C
$121.00
D
$132.00
2
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How can you solve for x in the proportion ?

Question illustration
A
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
B
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
C
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
D
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
3

Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?

A
by multiplying $2.52 by 4
B
by dividing $2.52 by 4
C
by finding the unit price and multiplying it by 4
D
by finding the unit price and dividing it by 4
4

Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in.Which proportion could Michel use to solve the side length, x, of the enlarged square?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which is the scale factor proportion for the reduction shown?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Why is a solution to the proportion ?

Question illustration
A
because 192 divided by 32 is equal to 6
B
because 192 divided by 36 is equal to 6
C
because if you substitute 6 into the equation for x and cross multiply, you get
Option C
D
because if you substitute 6 into the equation for x and cross multiply, you get
Option D
7

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
8

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

Question illustration
e
enlarged by a factor of 2.
e
enlarged by a factor of .
Option e
r
reduced by a factor of 2.
r
reduced by a factor of .
Option r
9

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
10

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
11

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

A
2:3
B
3 to 2
C
StartFraction 5 Over 3 EndFraction
Option C
D
3 to 5
12

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.
13

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
14

Based on the table, what is the unit rate for one gallon of gasoline?GasolineNumber of gallonsPrice2$6.603$9.904$13.20

A
$3.30
B
$4.60
C
$5.60
D
$6.50
15

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
16

If the speed limit of a highway is 60 mph, which car exceeded the speed limit? Assume all the cars were traveling at a constant speed.

A
a car that traveled 183 miles in 3 hours
B
a car that traveled 236 miles in 4 hours
C
a car that traveled 290 miles in 5 hours
D
a car that traveled 342 miles in 6 hours
17

Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.Which shows the correct lengths of side C in both scales?

Question illustration
A
Scale 1: 45 m; Scale 2: 60 m
B
Scale 1: 60 m; Scale 2: 45 m
C
Scale 1: 36 m; Scale 2: 27 m
D
Scale 1: 27 m; Scale 2: 36 m
18

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?

A
8 to 3
B
StartFraction 3 over 8 EndFraction
Option B
C
3 to 11
D
8:3
20

The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?

1
18 square yards
5
54 square yards
1
108 square yards
3
324 square yards

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