Proportional Relationships Review

How can you solve for x in the proportion:

 $\frac{7}{8}=\frac{x}{24\ }$  ?

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

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

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

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

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Sonny substituted 5 for x in the proportion

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

• because the cross sums of the proportion are equal

• because the cross differences of the proportion are equal

• because the cross products of the proportion are equal

• because the cross quotients of the proportion are equal

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Why is x=6 a solution to the proportion

 $\frac{192}{36}=\frac{32}{x}$  ?

• because 192 divided by 32 is equal to 6

• because 192 divided by 36 is equal to 6

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

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

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

• $15

• $24

• $36

• $72

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

• $\frac{40}{1}=\frac{120}{3}$

• $\frac{1}{40}=\frac{120}{3}$

• $\frac{40}{3}\ =\ \frac{120}{1}$

• $\frac{3}{40}=\ \frac{1}{120}$

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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?

• 
  

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

• $\frac{14}{6}=\frac{7}{3}$

• $\frac{6}{14}=\ \frac{7}{3}$

• $\frac{3}{7}=\frac{14}{6}$

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What is the value of p in the proportion below?

 $\frac{20}{6}=\frac{p}{12}$  

• 2

• 10

• 40

• 72

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

• 3 teams

• 8 teams

• 12 teams

• 24 teams

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

• y = x-10

• y= x/-10

• y= -10x

• y=10

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CCSS.7.RP.A.2

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

 $\frac{4}{5}$  ?

•  $y=\ x\ +\ \frac{4}{5}$  

•  $y=\ \frac{4}{5}x$  

•  $xy=\frac{4}{5}$  

•  $x+y\ =\frac{4}{5}$  

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