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

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

HW: Textbook (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

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HW: Textbook

(show all work)

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

HW: Textbook

(show all work)

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 > 12

5m - 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
• Graph the solution

HW: Textbook

(show all work)

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?

HW: Textbook

(show all work)

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 > 18

12 - 3a > 18

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

- 12 - 12

-3a > 6

-3 -3

a < -2

12 - 3(-2) = 18

HW: Textbook

(show all work)

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?

HW: Textbook

(show all work)

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

HW: Textbook

(show all work)

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
• Graph the solution

a > -24

HW: Textbook

(show all work)

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 + 3

2r - 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
• Graph the solution

6) Solve -2x + 6 ≥ 3x - 4
• x ≥ -2
• x ≤ -2
• x ≥ 2
• x ≤ 2

HW: Textbook

(show all work)

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
• Graph the solution

-14p -14p

12p – 20 > 64

+ 20 + 20

12p > 84

12 12

p > 7

26(7) – 20 = 14(7) + 64

Solve 26p - 20 > 14p + 64

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

HOMEWORK:

HW: Textbook

(show all work)

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

Homework:

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