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(Addition/Subtraction)
Today’s Lesson: What: one-step equations (Addition/Subtraction) Why: . . . so I can solve addition and subtraction one-step equations using both algebra tiles and the traditional paper/ pencil method. How: . . . by engaging in the lesson, correctly taking notes, and showing my work while completing my homework!
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How is the Inverse Property of Addition used when solving an equation?
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In your own words, describe the Golden Rule of Algebra.
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Solving Equations: GOAL:
To get the variable ____________________ (“isolating” the variable)!! RULE: What you do to one side of the equals (=) sign, you MUST do to ________________________ (Golden Rule of Algebra”)! by itself the other side
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We have to get “x” by itself!
Addition Equations: x = -2 What number is with “x”? We have to get “x” by itself! Paper/Pencil Method: x + 2 = -2 +(-2) +(-2) x = -4 2) x + (-3) = 7 Paper/Pencil Method: x + (-3) = 7 + 3 + 3 x = 10
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TOGETHER (paper/ pencil method only):
x = -11 x = -51 4) -25 = x + (-75) x = 50
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Your turn: 5) x = -3 x = 25
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Subtraction Equations:
x = 7 Do KCC first! Paper/Pencil Method: x - 4 = 7 + 4 + 4 x = 11 2) x = -2 Paper/Pencil Method: x - 3 = -2 + 3 + 3 x = 1
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TOGETHER (paper/ pencil method only):
x = -2 x = 20 4) -3 = x x = 31
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Your turn: 5) x = 30 x = 94
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What about the “double negative” equations?
6) x – ( -2) = 5 x = 3 Your turn: 7) x – ( -9 ) = -11 x = -20
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How is the inverse property of addition used when solving an equation?
WRAP IT UP/SUMMARY: How is the inverse property of addition used when solving an equation? In your own words, describe the Golden Rule of Algebra.
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END OF LESSON
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