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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 __

Watch the Step by Step Video Solution  
|
   View the Written Solution



#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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|
   View the Written Solution



#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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|
   View the Written Solution



#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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|
   View the Written Solution



#5:


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


a) -8x - 3y = 24


x y
__  8
 0 __
__  0

Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


a)


x y
-1 -4
-8  3
 2  7

(-1,-4)


plotting ordered pairs

(-8,3)


plotting ordered pairs

(2,7)


plotting ordered pairs

Watch the Step by Step Video Solution



#2:


Solution:


a)


x y
 8  0
 4  5
 0 10

(8,0)


plotting ordered pairs

(4,5)


plotting ordered pairs

(0,10)


plotting ordered pairs

Watch the Step by Step Video Solution



#3:


Solution:


a)


x y
 0  2
 3  1
-6  4

(0,2)


plotting ordered pairs

(3,1)


plotting ordered pairs

(-6,4)


plotting ordered pairs

Watch the Step by Step Video Solution



#4:


Solution:


a)


x y
 0 -7
-2  0
-4  7

(0,-7)


plotting ordered pairs

(-2,0)


plotting ordered pairs

(-4,7)


plotting ordered pairs

Watch the Step by Step Video Solution



#5:


Solution:


a)


x y
-6  8
 0 -8
-3  0

(0,-7)


plotting ordered pairs

(-2,0)


plotting ordered pairs

(-4,7)


plotting ordered pairs

Watch the Step by Step Video Solution