### 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 Practice Test:

#1:

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

a) -x - y = 5

x y
-1   __
__   3
2   __

#2:

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

a) -5x - 4y = -40

x y
8   __
__   5
0   __

#3:

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

a) -x - 3y = -6

x y
0   __
__   1
-6   __

#4:

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

a) -7x - 2y = 14

x y
0   __
__   0
-4   __

#5:

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

a) -8x - 3y = 24

x y
__   8
0   __
__   0

Written Solutions:

#1:

Solutions:

a)

x y
-1   -4
-8   3
2   -7

(-1,-4) (-8,3) (2,-7) #2:

Solutions:

a)

x y
8   0
4   5
0   10

(8,0) (4,5) (0,10) #3:

Solutions:

a)

x y
0   2
3   1
-6   4

(0,2) (3,1) (-6,4) #4:

Solutions:

a)

x y
0   -7
-2   0
-4   7

(0,-7) (-2,0) (-4,7) #5:

Solutions:

a)

x y
-6   8
0   -8
-3   0

(-6,8) (0,-8) (-3,0) 