Post on 02-Jan-2016
5-3 Equations as
Relations
5-3 Equations as
Relations
Objective:The students will be able to:determine the range for a given domaingraph a solution set for the given domaincomplete a table for a linear equation and graph the
ordered pairs.
Determine whether an ordered pair is a solution
to an equation:
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.
Determine whether an ordered pair is a solution
to an equation:
Determine whether an ordered pair is a solution
to an equation:Ex1: 3a + b = 8 a) (4,-4) b) (8,0) c) (2,2)
a)3(4) + -4 = 8
12 + -4 = 8
8 = 8
TRUE!
b) 3(8) + 0 = 8
24 + 0 = 8
24 = 8
FALSE!!
c) 3(2) + 2 = 8
6 + 2 = 8
8 = 8
TRUE!
Your turn: Which is a solution to
2x – y = 5?
Your turn: Which is a solution to
2x – y = 5?
1. (2, 1)
2. (3, 2)
3. (4, 3)
4. (5, 4)
Answer NowAnswer Now
Solve the following equation for y:
2x + y = 4
Solve the following equation for y:
2x + y = 41. Subtract 2x from
both sides
2. Simplify. Write the equation with the variable first.
-2x -2x
y = -2x + 4
Solve the following equation for y:
4x + 5y = 7
Solve the following equation for y:
4x + 5y = 71. Subtract 4x from both
sides
2. Simplify. Write the equation with the variable first.
3. Divide both sides by -5
4. Does the fraction simplify?
-4x -4x 5y = -4x+ 7 5 5
y = -4x + 7 5
Your Turn: Solve the following
equation for y: 6x – 2y = 8
Your Turn: Solve the following
equation for y: 6x – 2y = 81. y = -6x + 8
2. y = 6x – 83. y = -3x + 44. y = 3x - 4
Answer NowAnswer Now
Solve each equation for the given domain values. Then
graph the solution set.
Solve each equation for the given domain values. Then
graph the solution set.STEPSPlug in each value.Solve for y.Enter values into table
Solve each equation for the given domain values. Then
graph the solution set.
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) -12 (-3,-12)
-2 4(-2) -8 (-2,-8)
0 4(0) 0 (0,0)
1 4(1) 4 (1,4)
2 4(2) 8 (2,8)
Graph the solutions:Graph the solutions:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
y(-3, -12) (except this one)
(-2,-8)
(0,0)
(1,4)
(2,8)
Homework:Homework:
p. 274 # 8- 30 evens