5-3 equations as relations objective: the students will be able to: determine the range for a given...

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:


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.


to an equation:


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


2x + y = 41. Subtract 2x from

both sides

2. Simplify. Write the equation with the variable first.

-2x -2x

y = -2x + 4


4x + 5y = 7


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.


graph the solution set.STEPSPlug in each value.Solve for y.Enter values into table


graph the solution set.


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

5-3 equations as relations objective: the students will be able to: determine the range for a given...

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