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Solving Equations

Solving Equations. Unit 10. Objective to Solving Equations. You must undo all operations in the problem to isolate the variable. You ultimately do order of operations backwards. 1 Step Equations. Add Subtract X – 8 = 25 M + 15 = 39 + 8 + 8 -15 -15

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Solving Equations

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  1. Solving Equations Unit 10

  2. Objective to Solving Equations You must undo all operations in the problem to isolate the variable. You ultimately do order of operations backwards.

  3. 1 Step Equations Add Subtract X – 8 = 25M + 15 = 39 + 8 + 8 -15 -15 X = 33 M = 24 Multiply Divide G / 3= 12 3G = 54 *3 *3 ÷ 3 ÷ 3 G = 36 G = 18

  4. Kahn Academy Video Solving Equations

  5. 2 Step Equation2 Operations to undo Ex. 1 Ex. 2 Ex 2. 5r – 10 = 30 + 10 = + 10 5r = 40 ÷5 ÷5 r = 8 Ex 1. 3w + 15 = 39 -15 -15 3w = 24 ÷ 3 ÷ 3 w = 8

  6. 2 Step equations Video 2 step equations

  7. Practice Problems – on a piece of paper, answer the following. Show your work! • -25 = 7x 18 • 3K + 42 = 54 • 78 – 12m = 102 • ½ R + 19 = - 3 • -5B – 44 = 16 • 45 = -8L + 9

  8. Check your answers. • X = -1 • K = 4 • m = -2 • R = -44 • B = -12 • L = -4.5

  9. Distributive Property 2 (3x + 4) …..everything inside gets multiplied by what’s on the outside Ex. 2 3(5x – 8) = 3* 5x – 3* 8 = 15x – 24 2 (3x + 4) = 2 * 3x + 2 * 4 = 6x + 8

  10. Distributive Property Video

  11. Distributive property/solving equations Ex 1. 2(4x – 4) = 24 (distribute first) ( 2 steps) Ex 2. 4(3x + 5) = 68 Ex. 3 -3(2x + 9) = 9

  12. Kahn Academy Video • Insert Video

  13. Practice Problems Insert practice problems

  14. Check Answers • Answer to practice problems

  15. Combining like terms Like terms have the same variable and same exponent 2x and 4x – YES, 6x 4m and 5m – YES, 9m 7g and -10g – YES, -3g 4x and 5x2 – NOT LIKE TERMS BECAUSE OF EXPONENTS

  16. Combine like terms in equations Ex. 1 4x + 8 + 3x = 22 Ex. 2 3m + 6m + 2 = 20 Ex.3 10 + 10g – 5g = 50

  17. Distribute and like terms Ex. 1 4(2x + 5) – 10 = 26 Ex. 2 5(x – 5) + 3x = 15 Ex. 3 6(2x – 5) – 10x = 2

  18. Kahn Academy Video • Insert video

  19. Practice Problems Insert Practice Problems

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