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
Solving Proportions Practice Test:

#1:

Instructions: Solve each equation.

a)

 12 = x 10 x - 3

b)

 -7p = -3 p + 4 10

#2:

Instructions: Solve each equation.

a)

 k + 8 = 5k + 6 12 4

#3:

Instructions: Solve each equation.

a)

 4 = 12 r - 3 11r - 1

#4:

Instructions: Solve each equation.

a)

 y - 10 = -11 2y + 8 12

#5:

Instructions: Solve each equation.

a) If 7 gallons of gas cost $27.58, how much would it cost to fill a 40 gallon tank? Written Solutions: #1: Solutions: a) x = 18 b)  p = 12 67 #2: Solutions: a)  k = -5 7 #3: Solutions: a) r = -1 #4: Solutions: a)  y = 16 17 #5: Solutions: a) It would cost$157.60 to fill a 40 gallon tank.