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Warm Up

Warm Up. Find the number to make the equation true 1) ___+ 9 = 14 2) ___+27= 35 3) ___-19 = 12 4) 11-___= 19 Simplify each expression 5) -2(3x-8) 6) 8x – 4 – 8x – 9. Review of Distributive Property & Combing Like Terms. Simplify each expression. Try It Out.

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Warm Up

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  1. Warm Up Find the number to make the equation true 1) ___+ 9 = 14 2) ___+27= 35 3) ___-19 = 12 4) 11-___= 19 Simplify each expression 5) -2(3x-8) 6) 8x – 4 – 8x – 9

  2. Review of Distributive Property & Combing Like Terms Simplify each expression

  3. Try It Out Simplify each expression

  4. 2.2 Solving Equations Standard 5.0: Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

  5. Solving One-Step Equations *You must get the variable by itself. You can move numbers over by using the opposite operation. Examples: x + 5 = 7 x – 4 = - 3 x – (-3) = 10

  6. Try It Out! Solve the following equations. • x + 2 = 7 2) x - 6 = -3 3) x + (-3) = 2 4) x - 5 = -6

  7. 2.3 Solving One Step Linear Equations Using Multiplication or Division Standard 5.0: Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

  8. 1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation will we use? division

  9. 1) Solve -5t = 60 -5 -5 t = -12 -5(-12) = 60 • Draw the line to separate the equation into 2 sides • Divide both sides by -5 • Simplify • Check your answer

  10. 6 6 4 = n 24 = 6(4) • Draw the line • Divide both sides by 6 • Simplify • Check your answer 2) Solve 24 = 6n

  11. Answer Now 3) Solve -3v = -129 • v = -126 • v = -43 • v = 43 • v = 126

  12. 4) Solve You don’t like fractions? Let’s get rid of them!  “You can get rid of fractions” by multiplying both sides of the equation by the denominator.

  13. Draw the line • Clear the fraction – multiply both sides by 4 • Simplify • Check your answer 4) Solve 4 ·· 4 x = -48

  14. 5) Solve = 18 • Draw the line • Get rid of the fraction – multiply both sides by the reciprocal

  15. 2.4 - Solving Multi-Step EquationsStandard 5.0 • When solving equations you need to do the reverse of the order of operations. Example +5 = +5 2x = 14 -4 = -4 -4x = 16 2 2 x = 7 -4 -4 x = -4

  16. Try It Out Solve the following equations.

  17. Examples • Solve the following equations.

  18. HomeworkP. 81 #1-6, 10-11, 13-22P. 88 #14-19, 28-33, 34-37P.95 #1-5, 11-22 Have A Great Day!!!

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