1. 5-3 Equations as Relations
Objective:
The students will be able to:
determine the range for a given domain
graph a solution set for the given domain
complete a table for a linear equation and graph the ordered pairs.

2. Determine whether an ordered pair is a solution to an equation:
STEPS
Plug in each ordered pair.
If solution is true, the ordered pair is a solution.
If solution is NOT true, the ordered pair is not a solution.

3. Determine whether an ordered pair is a solution to an equation:
Ex1: 3a + b = a) (4,-4) b) (8,0) c) (2,2)
a)3(4) + -4 = 8
= 8
8 = 8
TRUE!
b) 3(8) + 0 = 8
= 8
24 = 8
FALSE!!
c) 3(2) + 2 = 8
6 + 2 = 8
8 = 8
TRUE!

4. Your turn: Which is a solution to 2x – y = 5?
(2, 1)
(3, 2)
(4, 3)
(5, 4)
Answer Now

5. Solve the following equation for y: 2x + y = 4
Subtract 2x from both sides
Simplify. Write the equation with the variable first.
-2x x
y = -2x + 4

6. Solve the following equation for y: 4x + 5y = 7
-4x x
5y = -4x+ 7
y = -4x + 7 5
Subtract 4x from both sides
Simplify. Write the equation with the variable first.
Divide both sides by -5
Does the fraction simplify?

7. Your Turn: Solve the following equation for y: 6x – 2y = 8
Answer Now

8. Solve each equation for the given domain values
Solve each equation for the given domain values. Then graph the solution set.
STEPS
Plug in each value.
Solve for y.
Enter values into table

9. Solve each equation for the given domain values
Solve each equation for the given domain values. Then graph the solution set.
Ex 1) y = 4x If the domain is {-3, -2, 0, 1, 2}
Domain 4x Range Ordered Pair
-3 4(-3) (-3,-12)
-2 4(-2) -8 (-2,-8)
0 4(0) 0 (0,0)
4(1) 4 (1,4)
4(2) 8 (2,8)

10. Graph the solutions: (-3, -12) (-2,-8) (0,0) (1,4) (2,8)
(except this one)
(-2,-8)
(0,0)
(1,4)
(2,8)

11. Homework:
p # evens