1. Name:________________________________________________________________________________Date:_____/_____/__________ Place a greater-than or less-than sign in the following blanks: Division Space: 9 ∙ (xy) = (9x) ∙ y ________________________________________________ -2(x + 4) = -2(x) + -2(4) ________________________________________________ 8 ∙ (a + b) = 8 ∙ ( b + a) ________________________________________________ 5xy( -6 + 6) = 5xy( 0 ) ________________________________________________ x + (-3) = -2 x = ___ x – 2 = 5 x = ___

2. Today’s Lesson: What: One-step equations (Addition & Subtraction) Why: To solve addition and subtraction one- step equations using both algebra tiles and the traditional paper/ pencil method. What: One-step equations (Addition & Subtraction) Why: To solve addition and subtraction one- step equations using both algebra tiles and the traditional paper/ pencil method.

3. GOAL: To get the variable by _________________________ (“isolating” the variable)!! RULE: What you do to one side of the equals (=) sign, you MUST do to _________________________ (Golden Rule of Algebra”)! Solving Equations: itself the other side

4. Addition Equations: 1) x + 2 = -2 Paper/Pencil Method: 2) x + (-3) = 7 Paper/Pencil Method: What number is with “x”? We have to get “x” by itself! x + 2 = -2 +(-2) x = -4 x + (-3) = 7 + 3 x = 10

5. 3) x + 40 = -11 4) -28 + x = -3 5) -25 = x + (-75) x = -51 x = 25 x = 50 Guided Examples (paper/ pencil method only):

6. Subtraction Equations: 1) x - 4 = 7 Paper/Pencil Method: 2) x - 3 = -2 Paper/Pencil Method: Do KCC first! x - 4 = 7 + 4 x = 11 x - 3 = -2 + 3 x = 1

7. 3) x - 22 = -2 4) x - 64 = 30 5) -3 = x - 34 x = 20 x = 94 x = 31 Guided Examples (paper/ pencil method only):

8. 1) x – ( -2) = 5 2) x – ( -9 ) = -11 What about the “double negative” equations? x = 3 x = -20

9. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

10. 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”)! Addition Equations: 1) x + 2 = -2 Solving Equations: Paper/Pencil Method: Math-7 NOTES DATE: ______/_______/_______ What: One-step equations (Addition & Subtraction) Why: To solve addition and subtraction one-step equations using both algebra tiles and the traditional paper/ pencil method. What: One-step equations (Addition & Subtraction) Why: To solve addition and subtraction one-step equations using both algebra tiles and the traditional paper/ pencil method. NAME: 3)x + 40 = -114) -28 + x = -35) -25 = x + (-75) 2) x + (-3) = 7 Guided Examples (paper/ pencil method only):

11. Subtraction Equations: 1) x – 4 = 7 2) x – 3 = -2 What about the “double negative” equations? Paper/Pencil Method: 3) x – 22 = -24) x – 64 = 305) -3 = x - 34 1) x – ( -2) = 52) x – ( -9 ) = -11 Remember– “minus a negative” equals a POSITIVE!! Guided Examples (paper/ pencil method only):

12. Math-7 homework NAME:____________________________________________________________________________ DATE: _____/_____/______________ “ Addition/ Subtraction one-step equations ”