1. http://www.mathslideshows.com

2. What you do to one side of an equation, you must do to the other side to keep it balanced.

3. http://www.mathslideshows.com 1) GOAL : Get the variable on one side of the equation. 2) You always perform the same operation to both sides of an equation. 3) To undo an operation you perform its opposite operation to both sides of the equation.

4. http://www.mathslideshows.com The inverse of add is SUBTRACT The inverse of subtract is ADD The inverse of multiply is The inverse of divide is DIVIDE MULTIPLY

5. http://www.mathslideshows.com x + 5 = -10 Get the variable alone. - 5 - 5 Subtract 5 from both sides. x = -15 +5 and -5 cancel each other out -15 + 5 = -10 Check your answer For an integer addition equation, subtract the same number from both sides -10 = -10 Finish your check

6. http://www.mathslideshows.com x + 8 = 2 -8 -8 x = -6 y - 13 = -4 +13 +13 y = 9 -6 + 8 = 2 2 = 2 9 – 13 = -4 -4 = -4 Try these!

7. http://www.mathslideshows.com Try these! -3x = 21 -3 x = -7 m = 8 -2 (-2) m = -16 -3(-7) = 21 21 = 21 8 = 8

8. http://www.mathslideshows.com Try these! 1) -4 + x = 152) - 4 = m + 9 +4 x = 19 -9 -13 = m - 4 + (19) = 15 15 = 15 - 4 = (-13) + 9 - 4 = - 4

9. http://www.mathslideshows.com Try these! 1) -5x = -35 -5 x = 7 -5(7) = -35 -35 = -35 2) (-6) -72 = x 12 = 12

10. http://www.mathslideshows.com Try these! 1) 8 + (-5) = 3 3 = 3 2) - 9 = (-6) - 3 - 9 = - 9

11. http://www.mathslideshows.com Try these! 1) 12 = 12 2) -8(-9) = 72 72 = 72

12. http://www.mathslideshows.com Try these! -4k = 14 -4 Acceptable Answers All answers must be fully reduced!

13. http://www.mathslideshows.com Aren’t equations interesting? TAKE OUT YOUR STUDY GUIDE

14. http://www.mathslideshows.com a – -3 = 21 Get the variable alone. + -3 + -3 Add -3 to both sides. a = 18 + -3 and – -3 cancel out 18 - -3 = 21 Check your answer Use inverse operations to solve integer equations. #7 Finish your check 21 = 21

15. http://www.mathslideshows.com -8x = -64 Get the variable alone. -8 -8 Divide -8 into both sides. x = 8 -8 divided by -8 cancel out to 1. -8 8 = -64 Check your answer. Divide the same number into both sides #8 Finish your check. -64 = -64

16. http://www.mathslideshows.com

18. 1) -5 + x = 102) - 8 = m + 3 +5 x = 15 -3 -11 = m - 5 + (15) = 10 10 = 10 - 8 = (-11) + 3 - 8 = - 8 Solve and Check

19. http://www.mathslideshows.com 1) -7x = -49 -7 x = 7 -7(7) = -49 -49 = -49 2) (-5) -55 = x 11 = 11 Solve and Check

20. http://www.mathslideshows.com 1) 9 + (-5) = 4 4 = 4 2) - 3 = (4) – 7 - 3 = - 3 Solve and Check

21. http://www.mathslideshows.com 1) 10 = 10 2) -8(-9) = 72 72 = 72 Solve and Check

22. http://www.mathslideshows.com Solve the division by multiplying by the reciprocal. 1) 2)

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