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Identifying Proportional Relationships with Cross Products, Graphs and Tables

Total questions: 32

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

How can you solve for x in the proportion:

78=x24 \frac{7}{8}=\frac{x}{24\ }  ?

a)

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

2.

Sonny substituted 5 for x in the proportion

16x=4815\frac{16}{x}=\frac{48}{15} and cross multiplied to get 240 = 240. Why is this? 

a)

because the cross sums of the proportion are equal

b)

because the cross differences of the proportion are equal

c)

because the cross products of the proportion are equal

d)

because the cross quotients of the proportion are equal

3.

Why is x=6 a solution to the proportion

19236=32x\frac{192}{36}=\frac{32}{x}  ?

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 1,152= 1,152

d)

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

4.

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

a)

$15

b)

$24

c)

$36

d)

$72

5.

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

a)

401=1203\frac{40}{1}=\frac{120}{3}

b)

140=1203\frac{1}{40}=\frac{120}{3}

c)

403 = 1201\frac{40}{3}\ =\ \frac{120}{1}

d)

340= 1120\frac{3}{40}=\ \frac{1}{120}

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?

a)


146 =37\frac{14}{6\ }=\frac{3}{7}

b)

146=73\frac{14}{6}=\frac{7}{3}

c)

614= 73\frac{6}{14}=\ \frac{7}{3}

d)

37=146\frac{3}{7}=\frac{14}{6}

7.

What is the value of p in the proportion below?

206=p12\frac{20}{6}=\frac{p}{12}  

a)

2

b)

10

c)

40

d)

72

8.

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

9.

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

a)

y = x-10

b)

y= x/-10

c)

y= -10x

d)

y=10

10.

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

45\frac{4}{5}  ?

a)

y= x + 45y=\ x\ +\ \frac{4}{5}  

b)

y= 45xy=\ \frac{4}{5}x  

c)

xy=45xy=\frac{4}{5}  

d)

x+y =45x+y\ =\frac{4}{5}  

11.

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

a)
b)
c)
d)
12.

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

a)
b)
c)
d)
13.

Which graph represents a proportional relationship?

a)
b)
c)
d)
14.

Which ordered pair would form a proportional relationship with the point graphed below?

a)

(10, –20)

b)

(–30, 20)

c)

(–10, 5)

d)

(35, –20)

15.

Mika wrote the table of points below, which 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.

Which table of ordered pairs represents a proportional relationship?

a)
b)
c)
d)
17.

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

a)

A

b)

B

c)

C

d)

D

18.

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)
b)
c)
d)
19.

What does Point B Represent on the graph?

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.

20.
a)

A

b)

B

c)

C

d)

D

21.

Meg skateboards 14\frac{1}{4}  of a mile in  12\frac{1}{2}  of an hour. At this rate, how far will she skateboard in an hour? 

a)

18 \frac{1}{8\ }  of a mile

b)

14\frac{1}{4}  of a mile

c)

12 \frac{1}{2\ }  of a mile

d)

34\frac{3}{4}  of a mile

22.

Why is “3 meals a day” a unit rate?

a)

It compares 1 meal to 1 day.

b)

It compares 1 meal to 3 days.

c)

It compares 3 meals to 1 day.

d)

It compares 3 meals to 3 days.

23.

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

24.

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

25.

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

a)

the constant of proportionality.

b)

the constant rate.

c)

the x-value of an ordered pair.

d)

the y-value of an ordered pair.

26.

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

a)

$3.30

b)

$4.60

c)

$5.60

d)

$6.50

27.

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?

a)

$99.00

b)

$119.00

c)

$121.00

d)

$132.00

28.

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?

a)
b)
c)
d)
29.

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

a)


38\frac{3}{8}

b)

8 to 3

c)

3 to 11

d)

8:3

30.

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)


53\frac{5}{3}

d)

3 to 5

31.

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

a)

$1 per 5 hours

b)

$15 per hour

c)

1 hour per $5

d)

$5 per hour

32.

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

a)
b)
c)
d)

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