•To apply the 4 steps for solving equations to actual problems.
Today’s Objective
3x - 7 = 2x + 5 •3x-2x - 7 = 2x -2x+ 5 • x-7=5 •x - 7 + 7 = 5 + 7 • x = 12
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1.)Solve: 3x - 7 = 2x + 5
3x - 7 = 2x + 5 • 3(12) - 7 = 2(12) + 5 • 36 - 7 = 24 + 5 • 29 = 29
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1.) Check: 3x - 7 = 2x + 5
3 + a = -2 • 3 - 3 + a = -2 - 3 • a=-5
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2.) Solve: 3 + a = -2
3 + a = -2 •3 + -5 = -2 • -2 = -2
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2.) Check: 3 + a = -2
3.)Solve: 5x + 3(x + 4) = 28
• 5x + 3(x + 4) = 28
• 5x + 3x + 12 = 28 • 8x + 12 = 28 • 8x + 12 - 12 = 28 -12 • 8x = 16 • 8x/8 = 16/8
3.)Check: 5x + 3(x + 4) = 28
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5x + 3(x + 4) = 28
• 5(2) + 3(2 + 4) = 28 • 10 + 3(6) = 28 • 10 + 18 = 28
• 6x + 5 = 7x - 3 •6x - 6x + 5 = 7x - 6x -3 • 5=x-3 • 5+3=x-3+3 • 8=x
Now you Solve and Check the following
6 (8) + 5 = 7(8) - 3 • 48 + 5 = 56 - 3 • 53 = 53
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Check: 6x + 5 = 7x - 3
8 - 5x = 2 - 6x •8 - 5x + 6x = 2 -6x+ 6x • 8 +x = 2 • 8-8+x=2-8 • x = -6
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Now you Solve and Check the following
8 - 5x = 2 - 6x •8 - 5(-6) = 2 - 6(-6) • 8 + 30 = 2 + 36 • 38 = 38
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Check: 8 - 5x = 2 - 6x