(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!
How is the Inverse Property of Addition used when solving an equation?
In your own words, describe the Golden Rule of Algebra.
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
We have to get “x” by itself! Addition Equations: x + 2 = -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
TOGETHER (paper/ pencil method only): x + 40 = -11 x = -51 4) -25 = x + (-75) x = 50
Your turn: 5) -28 + x = -3 x = 25
Subtraction Equations: x - 4 = 7 Do KCC first! Paper/Pencil Method: x - 4 = 7 + 4 + 4 x = 11 2) x - 3 = -2 Paper/Pencil Method: x - 3 = -2 + 3 + 3 x = 1
TOGETHER (paper/ pencil method only): x - 22 = -2 x = 20 4) -3 = x - 34 x = 31
Your turn: 5) x - 64 = 30 x = 94
What about the “double negative” equations? 6) x – ( -2) = 5 x = 3 Your turn: 7) x – ( -9 ) = -11 x = -20
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.
END OF LESSON