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 

(-6,8)

plotting ordered pairs

(0,-8)

plotting ordered pairs

(-3,0)

plotting ordered pairs