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 | __ |
#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:
Solution:
a)
x | y |
---|---|
-1 | -4 |
-8 | 3 |
2 | 7 |
(-1,-4)
(-8,3)
(2,7)
Solution:
a)
x | y |
---|---|
8 | 0 |
4 | 5 |
0 | 10 |
(8,0)
(4,5)
(0,10)
Solution:
a)
x | y |
---|---|
0 | 2 |
3 | 1 |
-6 | 4 |
(0,2)
(3,1)
(-6,4)
Solution:
a)
x | y |
---|---|
0 | -7 |
-2 | 0 |
-4 | 7 |
(0,-7)
(-2,0)
(-4,7)
Solution:
a)
x | y |
---|---|
-6 | 8 |
0 | -8 |
-3 | 0 |
(0,-7)
(-2,0)
(-4,7)