Quiz about Proportional Relationships MTM Review

Question 1

How can you solve for x in the proportion:

$$\frac{7}{8}=\frac{x}{24\ }$$ ?

Accepted Answer

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answer

Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve fro x.

Answer

Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

Answer

Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

Question 2

Sonny substituted 5 for x in the proportion

$$\frac{16}{x}=\frac{48}{15}$$ and cross multiplied to get 240 = 240. Why is this?

Accepted Answer

because the cross products of the proportion are equal

Answer

because the cross sums of the proportion are equal

Answer

because the cross differences of the proportion are equal

Answer

because the cross quotients of the proportion are equal

Question 3

Why is x=6 a solution to the proportion

$$\frac{192}{36}=\frac{32}{x}$$ ?

Accepted Answer

because if you substitute 6 into the equation for x and cross multiply, you get 1,152= 1,152

Answer

because 192 divided by 32 is equal to 6

Answer

because 192 divided by 36 is equal to 6

Answer

because if you substitute 6 into the equation for x and cross multiply, you get 1296 = 1296

Question 4

The cost of toothpaste is $6.00 for 3 tubes. At this rate, how much do 12 tubes of toothpaste cost?

Accepted Answer

$24

Answer

$15

Answer

$36

Answer

$72

Question 5

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

Accepted Answer

$$\frac{40}{1}=\frac{120}{3}$$

Answer

$$\frac{1}{40}=\frac{120}{3}$$

Answer

$$\frac{40}{3}\ =\ \frac{120}{1}$$

Answer

$$\frac{3}{40}=\ \frac{1}{120}$$

Question 6

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?

Accepted Answer

$$\frac{14}{6}=\frac{7}{3}$$

Answer

$$\frac{14}{6\ }=\frac{3}{7}$$

Answer

$$\frac{6}{14}=\ \frac{7}{3}$$

Answer

$$\frac{3}{7}=\frac{14}{6}$$

Question 7

What is the value of p in the proportion below?

$$\frac{20}{6}=\frac{p}{12}$$

Accepted Answer

Answer

Answer

Answer

Question 8

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

Accepted Answer

12 teams

Answer

3 teams

Answer

8 teams

Answer

24 teams

Question 9

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

$$\frac{4}{5}$$ ?

Accepted Answer

$$y=\ \frac{4}{5}x$$

Answer

$$y=\ x\ +\ \frac{4}{5}$$

Answer

$$xy=\frac{4}{5}$$

Answer

$$x+y\ =\frac{4}{5}$$

Question 10

Which table represents the same proportional relationship as the graph? (Click on the graph to make it larger!)

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

Which table represents the same proportional relationships as the equation y=36x ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 12

Which graph represents a proportional relationship?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 13

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

Accepted Answer

Mika has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.

Answer

Mika has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.

Answer

Mika has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.

Answer

Mika has described a proportional relationship because the line does not pass through the origin.

Question 14

Which table of ordered pairs represents a proportional relationship?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 15

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

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

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

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 17

What does Point B Represent on the graph?

Accepted Answer

John earns $14.00 for two hours of work.

Answer

John earns $14.00 each hour.

Answer

John earns $7.00 for two hours of work.

Answer

John earns $7.00 for four hours of work.

Question 18

Question 18.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 19

Meg skateboards $$\frac{1}{4}$$ of a mile in $$\frac{1}{2}$$ of an hour. At this rate, how far will she skateboard in an hour?

Accepted Answer

$$\frac{1}{2\ }$$ of a mile

Answer

$$\frac{1}{8\ }$$ of a mile

Answer

$$\frac{1}{4}$$ of a mile

Answer

$$\frac{3}{4}$$ of a mile

Question 20

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

Accepted Answer

by finding the unit price and multiplying it by 4

Answer

by multiplying $2.52 by 4

Answer

by dividing $2.52 by 4

Answer

by finding the unit price and dividing it by 4

Question 21

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.

Accepted Answer

a car that traveled 183 miles in 3 hours

Answer

a car that traveled 236 miles in 4 hours

Answer

a car that traveled 290 miles in 5 hours

Answer

a car that traveled 342 miles in 6 hours

Question 22

The unchanging value of the ratio between two proportional quantities is:

Accepted Answer

the constant of proportionality.

Answer

the constant rate.

Answer

the x-value of an ordered pair.

Answer

the y-value of an ordered pair.

Question 23

Based on the table, what is the unit rate for one gallon of gasoline?

Accepted Answer

$3.30

Answer

$4.60

Answer

$5.60

Answer

$6.50

Question 24

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?

Accepted Answer

$132.00

Answer

$99.00

Answer

$119.00

Answer

$121.00

Question 25

The constant of proportionality for the amount of electricity in kilowatt hours and the cost per kilowatt hour is $0.11. Which graph models this situation?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 26

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

Accepted Answer

$$\frac{3}{8}$$

Answer

Answer

Answer

Question 27

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?

Accepted Answer

Answer

2:3

Answer

3 to 2

Answer

$$\frac{5}{3}$$

Question 28

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Accepted Answer

$5 per hour

Answer

$1 per 5 hours

Answer

$15 per hour

Answer

1 hour per $5

Question 29

Tara reads at a rate of 15 pages per day. Which table represents this relationship?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

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