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

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

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  1. 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

  2. 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

  3. 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?

  4. 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

  5. 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?

  6. Answer Now Which graph shows the solution to 2x - 10 ≥ 4? • .

  7. 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

  8. 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

  9. 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

  10. Answer Now 6) Solve -2x + 6 ≥ 3x - 4 • x ≥ -2 • x ≤ -2 • x ≥ 2 • x ≤ 2

  11. 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

  12. Answer Now What are the values of x if 3(x + 4) - 5(x - 1) < 5? • x < -6 • x > -6 • x < 6 • x > 6

  13. 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

  14. 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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