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Linear Equations in two Variables Test
About Linear Equations in two Variables:

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

Linear Equations in two Variables:




#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:


Solution:


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


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#2:


Solution:


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


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#3:


Solution:


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


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#4:


Solution:


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


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#5:


Solution:


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


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