### 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

xy
-1  __
__  3
2  __

#2:

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

a) -5x - 4y = -40

xy
8  __
__  5
0  __

#3:

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

a) -x - 3y = -6

xy
0  __
__  1
-6  __

#4:

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

a) -7x - 2y = 14

xy
0  __
__  0
-4  __

#5:

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

a) -8x - 3y = 24

xy
__  8
0  __
__  0

Written Solutions:

#1:

Solutions:

a)

xy
-1  -4
-8  3
2  -7

(-1,-4)

(-8,3)

(2,-7)

#2:

Solutions:

a)

xy
8  0
4  5
0  10

(8,0)

(4,5)

(0,10)

#3:

Solutions:

a)

xy
0  2
3  1
-6  4

(0,2)

(3,1)

(-6,4)

#4:

Solutions:

a)

xy
0  -7
-2  0
-4  7

(0,-7)

(-2,0)

(-4,7)

#5:

Solutions:

a)

xy
-6  8
0  -8
-3  0

(-6,8)

(0,-8)

(-3,0)