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Seventh Grade (Grade 7) Proportional Relationships Questions

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Grade 7 Proportional Relationships CCSS: 7.RP.A.1

Which of the following has the lowest unit price?

20 oz:$9.00
16 oz:$7.39
12 oz:$5.29
5 oz:$2.39

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2c

Jim is making a model of a car. The real car is 8 ft long and 4 ft wide. Jim's model will be 12 inches long. Which could be used to solve for width,

$X$ ?

8/4 = 12/X
8/4 = X/12
8/12 = X/4
12/8 = 4/X

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2a

$9/32 = 81/288$

True
False

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2c

Which equation does NOT represent a proportional relationship between the two variables with a constant of proportionality of 1/2?

y = 0.5x + 1
2y = x
y = 0.5x
y/x = 1/2

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2a

A proportion states that two ratios are equivalent.

Grade 7 Proportional Relationships CCSS: 7.RP.A.1

If someone travels

$3 1/2$ miles every 45 minutes, how many miles per hour are they traveling?

$2 5/8$
$4 2/3$
$4$
$3 1/2$

Grade 7 Proportional Relationships CCSS: 7.RP.A.1

A recipe for cookies calls for

$6 1/2$ cups of flour and

$3 2/3$ cups of sugar. If you only have 2 cups of sugar, approximately how much flour will you need?

$2 3/4$ cups
$3$ cups
$3 1/2$ cups
$4 1/2$ cups

Grade 7 Proportional Relationships

What is the slope of

$y=3/5x-1/2?$

$x$
$3$
$1/2$
$3/5$

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2c

A baker needs to make 500 chocolate chip cookies for a country fair. Each batch contains 23 cookies. Which equation can be used to find how many batches (

$x$ ) he will need to make.

$y=506$
$y=1/23x$
$500=23x$
$y=500/23x$

Grade 7 Proportional Relationships

What is the slope of

$y=1/3x-1/3$ ?

$-1/3$
$1/3$
$y$
$0$

Grade 7 Proportional Relationships CCSS: 7.RP.A.1

A crew of highway workers paved

$2/15$ of a mile in 20 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?

$1/150$
$2/45$
$2/5$
$5/2$

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2a

$13/3=26/9$

True
False

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2c

A spruce tree grows 13 inches (

$y$ ) per year (

$x$ ). Write an equation to show the situation.

$y=13/12x$
$y=1/12x$
$y=13x$
$y=12/13x$

Grade 7 Proportional Relationships CCSS: 7.RP.A.1

Tyra runs a distance of 1.17 miles in 9 minutes. At this rate, she runs approximately 0.13 mile in 1 minute.

True
False

Grade 7 Proportional Relationships

On a map 1/2 inch equals 4 miles. To get from your house to school is an actual length of 12 miles, what is the scale on the map?

2 inches
2 1/2 inches
3 inches
1 1/2 inches

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2c

A colony of penguins lives on a small Pacific Island. Which equation represents this situation if 12,000 penguins fit in every 4 square miles? Area is represented by

$x$ and the number of penguins by

$y$ .

$y=1/3000x$
$y=12000x$
$y=4/12000x$
$y=3000x$

Grade 7 Proportional Relationships

Solve for x:

$5/3=x/9$

$27/5$
15
30
52

Grade 7 Proportional Relationships

A farmer wants to plant an orchard with a certain amount of trees in each row. The equation for the amount of trees (

$y$ ) per row (

$x$ ) is:

$y = 7x$ . Find the total amount of trees in 14 rows.

Grade 7 Proportional Relationships CCSS: 7.RP.A.2, 7.RP.A.2a

$3/4=18/20$

True
False

Grade 7 Proportional Relationships

A tiler is laying tiles for a brand new floor. The equation for the amount of tiles (

$y$ ) needed to fill a 1 square foot space is:

$y = 4x$ . If the tiler needs to tile a 37 square foot space, how many tiles will he need? Use a graph to find your answer.

148
9.25
41
296

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Seventh Grade (Grade 7) Proportional Relationships Questions