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SWBAT… solve two-step equations

Wed, 9/21. SWBAT… solve two-step equations. Agenda Warm-up (10 min) Review hw#3 (30 min) Exit slip (5 min) Warm-Up. 1.) Re-do the quiz problems you got wrong on the back of the quiz. Also, do the extra credit problem. HW#4 – Mulit-step equations. 1.) 2.). Thurs, 9/22.

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SWBAT… solve two-step equations

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  1. Wed, 9/21 SWBAT… solve two-step equations Agenda • Warm-up (10 min) • Review hw#3 (30 min) • Exit slip (5 min) Warm-Up. 1.) Re-do the quiz problems you got wrong on the back of the quiz. Also, do the extra credit problem. HW#4 – Mulit-step equations

  2. 1.) 2.)

  3. Thurs, 9/22 SWBAT… solve multi-step equations Agenda • Warm-up (10 min) • Review HW3 (15 min) • Solving multi-step equations w/ distr property and CLT: 4 problems (20 min) Warm-Up. 1.) If evaluate 4 – x 2.) Solve for x: 3.) Find three consecutive even numbers with a sum of 72 HW#4 – Multi-step equations

  4. Fri, 9/23 SWBAT… solve multi-step equations Agenda • Warm-up (15 min) • Review /work on hw#4 (20 min) Warm-Up: 1.) 5(g + 8) – 7 = 103 2.) HW#4 – Multi-step equations

  5. 1. Distribute the 5 Solve each equation: List the steps: 1.) 5(g + 8) – 7 = 103 HW#4-Multi-Step Eqns 2. CLT: 40 – 7 = 33 3. Subtract both sides by 33 4. Divide both sides by 5 g = 14

  6. 1. Cross multiply 3(k+3) = 9(5) Solve each equation: List the steps: 2.) HW#4-Multi-Step Eqns 2. Distribute the 3 3. Subtract both sides by 9 4. Divide both sides by 3 k = 12

  7. 1.) Multiply both sides of the equation by 6 To remove fractions from an equation: Multiply both sides of the equation (EVERY TERM) by the least common denominator

  8. 1. CLT: b – 8b = -7b Solve each equation: List the steps: b – 8b + 1 = -6 HW#4-Multi-Step Eqns 2. Subtract 1 from both sides 3. Divide both sides by -7 b = 1

  9. Solving linear equations using distributive property or combining like terms Solve each equation: List the steps: -(m + 1) = 11 HW#4-Multi-Step Eqns 1. Distribute the -1 2. Add 1 to both sides 3. Divide both sides by -1 m = -12

  10. Tues, 9/26 SWBAT… solve multi-step equations with variables on both sides including fractions Agenda • Warm-up (10 min) • Two equations with fractions (15 min) • Review / work on hw#4 (10 min) Warm-Up: 1.) -6b + 1 = -3 + 2b 2.) 2(r + 4) – 2 = (12r + 18) Back of LAST week’s agenda (week 7) (great practice for tomorrow’s quiz)

  11. Multiply both sides of the equation by 10(each term) Solving linear equations involving fractions 3.) x = 40 To remove fractions from an equation: Multiply both sides of the equation (each term) by the least common denominator

  12. Multiply both sides of the equation by 12 (each term) Solving linear equations with variables on both sides involving fractions 4.) x = 1 To remove fractions from an equation: Multiply both sides of the equation (each term) by the least common denominator

  13. SWBAT… solve multi-step equations Agenda WU (10 min) Geometry problem with equations (5 min) Review HW#4 & back of agenda (10 min) Quiz (20 min) Warm-Up: Solve: 1.) ½(12n – 4) = -(-14 + 10n) 2.) Wed, 9/28

  14. Find the value of x so that the two rectangles have the same area. 14 16 x – 3 x 14(x) = 16(x – 3) x = 24

  15. Extra Credit: Complete on the back Solve for y:

  16. Homework over October break Back of this week’s agenda – week 8: Application of Linear Equations (see “PPT7-Application Equations” for examples) HW#6-Solving Algebraic Equations – No Solutions & Infinite Solutions (try it – see examples. Google “no solution equations”) HW#7-Multi-step equations HW#9 - Expressions & Equations Take Home Study Guide (Equations Test is the Friday after October break)

  17. HW#6-No Solutions & Infinite Solutions Answers • No Solution • No Solution • Infinite Solutions or All Real Numbers • No Solution • Infinite Solutions or All Real Numbers • No Solution • Infinite Solutions or All Real Numbers • No Solution

  18. HW#7-Multi-Step Equations Answers • Infinite Solution or All Numbers • Infinite Solution or All Numbers • No Solution • Infinite Solutions or All Numbers • b = -2 • y = -4/3 • m = 15 • No Solution

  19. Directions: • On your tablets, you will be solving equations. • You will have 1-3 minutes to solve each problem (SHOW YOUR WORK – ALL STEPS!) • When you hear the timer go off, show me your tablets.

  20. 1/15 What is the one country you would like to visit?

  21. 2/15 a = 2

  22. 3/15 -(a + 1) = ¾ a = -1¾ or -7/4

  23. 4/15 p = 48

  24. 5/15 k = 12

  25. 6/15 x = 1

  26. 7/15 The sum of six and four times d is the same as d minus nine. Solve for d. 6 + 4d = d – 9 d = -5

  27. 8/15 3(2k – 2) = -2(4k – 11) k = 2

  28. 9/15

  29. 10/15 6(3a + 1) – 30 = 3(2a – 4) a = 1

  30. 11/15 Find three consecutive even integers whose sum is -42. n + (n + 2) + (n + 4) = -42 n = -16 -16, -14, and -12

  31. 12/15 x = 40

  32. 13/15: Literal Equation Given d = rt for t t = d/r Solve for r r = d/t

  33. 14/15: Literal Equation Given y = mx + b solve for b b = y – mx Solve for m m = (y – b)/x

  34. 15/15: Literal Equation Given P = 2l + 2w solve for w w = (P – 2l)/2

  35. Literal Equation Solve 8x – 2y = 10 for y y = 4x – 5

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