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Objective: SWBAT… solve and graph multi-step inequalities.PowerPoint Presentation

Objective: SWBAT… solve and graph multi-step inequalities.

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### Solve 26p - 20 > 14p + 64

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 43, 44

Objective: SWBAT…solve and graph multi-step inequalities.

- Bell ringer: 5 minutes
- [will be collected]
- The record for rainfall in DC is 5 inches in one day.
- Write an inequality that
- represents the amount of
- rain that DC has received
- in a day.
- 2) Solve and graph:
- x/6 < -7
- 3) Solve for x:
- 3x – 9 – 8x = 11

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

3

4

5

Objective: SWBAT…solve and graph multi-step inequalities.

1) Solve 5m - 8 > 125m - 8 > 12

+ 8 + 8

5m > 20

5 5

m > 4

5(4) – 8 = 12

- Draw “the river”
- Add 8 to both sides
- Simplify
- Divide both sides by 5
- Simplify
- Check your answer
- Graph the solution

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

Solve for x in the following equation and inequality:Solve: x/5 > 20 and x/5 = 20

What is the same about each of the solutions? What is different about the solutions?

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

-3

-2

-1

Objective: SWBAT…solve and graph multi-step inequalities.

2) Solve 12 - 3a > 1812 - 3a > 18

- Draw “the river”
- Subtract 12 from both sides
- Simplify
- Divide both sides by -3
- Simplify (Switch the inequality!)
- Check your answer
- Graph the solution

- 12 - 12

-3a > 6

-3 -3

a < -2

12 - 3(-2) = 18

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

Solve for x in the following equation and inequality:Solve: 3x - 7 = 8 and 3x - 7 < 8

What was the same about how you solved the equation and inequality? What is different about the solutions?

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

- Solve the following inequalities and compare work with a partner:
- 1. 6x - 7 > 2x + 17
- 2. 5x - 12 < 3x - 4
- 3. 7(r - 3) > 13

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

-25

-24

-23

Objective: SWBAT…solve and graph multi-step inequalities.

- Draw “the river”
- Clear the fraction - Multiply both sides by -4. Do you switch the inequality?
- Yes - Both sides are being multiplied by a negative number

- Simplify
- Check your answer
- Graph the solution

a > -24

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

●

-8

-7

-6

Objective: SWBAT…solve and graph multi-step inequalities.

Solve 2r - 18 ≤ 5r + 32r - 18 ≤ 5r + 3

-2r -2r

-18 ≤ 3r + 3

- 3 - 3

-21 ≤ 3r

3 3

-7 ≤ r or r ≥ -7

2(-7) – 18 = 5(-7) + 3

- Draw “the river”
- Subtract 2r from both sides
- Simplify
- Subtract 3 from both sides
- Simplify
- Divide both sides by 3
- Simplify
- Check your answer
- Graph the solution

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

6

7

8

Objective: SWBAT…solve and graph multi-step inequalities

26p - 20 > 14p + 64

- Draw “the river”
- Subtract 14p from both sides
- Simplify
- Add 20 to both sides
- Simplify
- Divide both sides by 12
- Simplify
- Check your answer
- Graph the solution

-14p -14p

12p – 20 > 64

+ 20 + 20

12p > 84

12 12

p > 7

26(7) – 20 = 14(7) + 64

Objective: SWBAT…solve and graph multi-step inequalities.

HOMEWORK:

HW: Textbook

(show all work)

Read p. 171 -174

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Inequality with division/multiplication worksheet

Objective: SWBAT…solve and graph multi-step inequalities.

Exit Ticket:

Solve & Graph

- 3(w+12) < 0
- 8n-2 > 17n + 9
- 10 – 11d < -5d -4

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