### About Linear Equations:

A linear equation in two variables is of the form: ax + by = c. This type of equation has a solution that is generally reported using an ordered pair (x,y). We can choose a value for one of the variables and solve to find the other. Using this method, we can create a table of ordered pairs that satisfy the equation.

Test Objectives

- Demonstrate the ability to check a proposed ordered pair solution
- Demonstrate the ability to create an ordered pair solution
- Demonstrate the ability to create a table of ordered pairs

#1:

Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.

a) 5x + 4y = -12 : (6,4) : (4,-8)

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#2:

Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.

a) x - y = 1 : (2,3) : (-5,-6)

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#3:

Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.

a) 5x - 3y = -3 : (0,1) : (4,-3)

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#4:

Instructions: Complete each table of values.

a) 10y - 50 = 4x

x | y |
---|---|

__ | 2 |

0 | __ |

__ | 3 |

-10 | __ |

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#5:

Instructions: Complete each table of values.

a) -15x = 3y

x | y |
---|---|

__ | 4 |

6 | __ |

__ | -2 |

1 | __ |

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Written Solutions:

#1:

Solutions:

a) (6,4) no : (4,-8) yes

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#2:

Solutions:

a) (2,3) no : (-5,-6) yes

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#3:

Solutions:

a) (0,1) yes : (4,-3) no

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#4:

Solutions:

a) (-15/2,2) (0,5) (-5,3) (-10,1)

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#5:

Solutions:

a) (-4/5,4) (6,-30) (2/5,-2) (1,-5)