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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. For this type of equation, we can pick a value for x and solve for the unknown y or vice versa. Generally, we are asked to graph linear equations in two variables. We start by obtaining and plotting points, we then sketch a line through the points on the coordinate plane.

Test Objectives:

•Demonstrate the ability to solve a linear equation

•Demonstrate the ability to complete a table of values

•Demonstrate the ability to plot ordered pairs on the coordinate plane

Linear Equations in two Variables Test:

#1:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -x - y = 5

x y
-1 __
__  3
2 __

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|
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#2:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -5x - 4y = -40

x y
8 __
__  5
0 __

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#3:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -x - 3y = -6

x y
0 __
__  1
-6 __

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#4:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -7x - 2y = 14

x y
0 __
__  0
-4 __

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#5:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -8x - 3y = 24

x y
__  8
0 __
__  0

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Written Solutions:

#1:

Solution:

a)

x y
-1 -4
-8  3
2  7

(-1,-4)

(-8,3)

(2,7)

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#2:

Solution:

a)

x y
8  0
4  5
0 10

(8,0)

(4,5)

(0,10)

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#3:

Solution:

a)

x y
0  2
3  1
-6  4

(0,2)

(3,1)

(-6,4)

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#4:

Solution:

a)

x y
0 -7
-2  0
-4  7

(0,-7)

(-2,0)

(-4,7)

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#5:

Solution:

a)

x y
-6  8
0 -8
-3  0

(0,-7)

(-2,0)

(-4,7)

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