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.

$$a)\hspace{.1em}\frac{12}{10}=\frac{x}{x - 3}$$

$$b)\hspace{.1em}\frac{-7p}{p + 4}=\frac{-3}{10}$$

#2:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{k + 8}{12}=\frac{5k + 6}{4}$$

#3:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{4}{r - 3}=\frac{12}{11r - 1}$$

#4:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{y - 10}{2y + 8}=\frac{-11}{12}$$

#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: $$a)\hspace{.1em}x=18$$ $$b)\hspace{.1em}p=\frac{12}{67}$$ #2: Solutions: $$a)\hspace{.1em}k=\frac{-5}{7}$$ #3: Solutions: $$a)\hspace{.1em}r=-1$$ #4: Solutions: $$a)\hspace{.1em}y=\frac{16}{17}$$ #5: Solutions: a) It would cost$157.60 to fill a 40-gallon tank.