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Proportions Test
About Proportions:

A proportion states that two ratios/rates are equal. We can check to see if we have a proportion by cross multiplying. When the cross products are equal, we know we have a proportion. We solve a proportion equation by cross multiplying and using our four - step method for solving equations.

Test Objectives:

•Demonstrate the ability to determine if two ratios/rates represent a proportion

•Demonstrate the ability to solve a proportion equation

•Demonstrate the ability to solve a proportion word problem

Proportions:




#1:


Instructions: Solve each equation.


a)


12  =    x
10 x - 3

b)


 -7p  =  -3
p + 4 10

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#2:


Instructions: Solve each equation.


a)


k + 8  =  5k + 6
  12     4

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#3:


Instructions: Solve each equation.


a)


  4  =      12
r - 3 11r - 1

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#4:


Instructions: Solve each equation.


a)


 y - 10  =  -11
2y + 8  12

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#5:


Instructions: Solve each word problem.


a) If 7 gallons of gas cost $27.58, how much would it cost to fill a 40 gallon tank?


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Written Solutions:




#1:


Solution:


a) x = 18


b)


p  =  12
67

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#2:


Solution:


a)


k  =  -5
 7

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#3:


Solution:


a) r = -1


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#4:


Solution:


a)


y  =  16
17

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#5:


Solution:


a) It would cost $157.60 to fill a 40 gallon tank.


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