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)

plotting ordered pairs

(-8,3)

plotting ordered pairs

(2,7)

plotting ordered pairs

#2:

Solutions:

a)

x y
 8  0
 4  5
 0 10

(8,0)

plotting ordered pairs

(4,5)

plotting ordered pairs

(0,10)

plotting ordered pairs

#3:

Solutions:

a)

x y
 0  2
 3  1
-6  4

(0,2)

plotting ordered pairs

(3,1)

plotting ordered pairs

(-6,4)

plotting ordered pairs

#4:

Solutions:

a)

x y
 0 -7
-2  0
-4  7

(0,-7)

plotting ordered pairs

(-2,0)

plotting ordered pairs

(-4,7)

plotting ordered pairs

#5:

Solutions:

a)

x y
-6  8
 0 -8
-3  0

(0,-7)

plotting ordered pairs

(-2,0)

plotting ordered pairs

(-4,7)

plotting ordered pairs