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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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slide1

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
  • 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
1 solve 5m 8 12

HW: Textbook

(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 > 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
  • Check your answer
  • Graph the solution
solve for x in the following equation and inequality

HW: Textbook

(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?

2 solve 12 3a 18

HW: Textbook

(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 > 18

12 - 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

solve for x in the following equation and inequality1

HW: Textbook

(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?

slide7

HW: Textbook

(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
slide8

HW: Textbook

(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

solve 2r 18 5r 3

HW: Textbook

(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 + 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
  • Check your answer
  • Graph the solution
6 solve 2x 6 3x 4

Answer Now

6) Solve -2x + 6 ≥ 3x - 4
  • x ≥ -2
  • x ≤ -2
  • x ≥ 2
  • x ≤ 2
solve 26p 20 14p 64

HW: Textbook

(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

Solve 26p - 20 > 14p + 64

slide13

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

slide14

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
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