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1-26-11

1-26-11. Bellwork #42 HW, red pen, book on desk. Solving Equations with Variables on Both Sides. Lesson 7-5 p.355. Variables on Both Sides of the Equations. Consider an equation like this: 5x – 8 = 3x What looks different about this equation?. Variables on Both Sides of the Equations.

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1-26-11

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  1. 1-26-11 • Bellwork #42 • HW, red pen, book on desk.

  2. Solving Equations with Variables on Both Sides Lesson 7-5 p.355

  3. Variables on Both Sides of the Equations • Consider an equation like this: • 5x – 8 = 3x • What looks different about this equation?

  4. Variables on Both Sides of the Equations • Consider an equation like this: • 5x – 8 = 3x • What looks different about this equation? • Yes, there are x’s on both sides of the =

  5. Variables on both sides • To solve this type of equation we need to get all the x’s on one side of the equation and all the numbers on the other side. • So, • 5x – 8 = 3x • -5x -5x Subtract 5x from both sides • -8 = -2x • -2-2 Divide both sides by -2 • 4 = x Solve

  6. Another example • Let’s try this one: • 9a + 2 = 4a – 18 • -4a -4a Subtract 4a from both sides • 5a + 2 = -18 (look familiar?) • -2 -2 Subtract 2 from both sides • 5a = -20 • 5 5 Divide both sides by 5 • a = -4 Solve

  7. Try This • 4x + 4 = 2x + 36 • -15 + 6b = -8b + 13

  8. Try This • 4x + 4 = 2x + 36 x = 16 • -15 + 6b = -8b + 13

  9. Try This • 4x + 4 = 2x + 36 x = 16 • -15 + 6b = -8b + 13 b = 2

  10. Try This Too Remember to distribute first: 2(x-4) = 3x 8r + 2 = 3(r – 1)

  11. Try This Too Remember to distribute first: 2(x-4) = 3x x = -8 8r + 2 = 3(r – 1)

  12. Try This Too Remember to distribute first: 2(x-4) = 3x x = -8 8r + 2 = 3(r – 1) r = -1

  13. Agenda 1-26-11 • PA #7 • Pp.357 #10-18 all

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