### About Solving 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

#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 equation.

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:

Solutions:

a) x = 18

b)

p | = | 12 |

67 |

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#2:

Solutions:

a)

k | = | -5 |

7 |

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#3:

Solutions:

a) r = -1

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#4:

Solutions:

a)

y | = | 16 |

17 |

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#5:

Solutions:

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