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

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.

The inverse of add is SUBTRACT The inverse of subtract is ADD The inverse of multiply is The inverse of divide is DIVIDE MULTIPLY

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

x + 8 = x = -6 y - 13 = y = = 2 2 = 2 9 – 13 = = -4 Try these!

Try these! -3x = x = -7 m = 8 -2 (-2) m = (-7) = = 21 8 = 8

Try these! 1) -4 + x = 152) - 4 = m x = = m (19) = = = (-13) = - 4

Try these! 1) -5x = x = 7 -5(7) = = -35 2) (-6) -72 = x 12 = 12

Try these! 1) 8 + (-5) = 3 3 = 3 2) - 9 = (-6) = - 9

Try these! 1) 12 = 12 2) -8(-9) = = 72

Try these! -4k = Acceptable Answers All answers must be fully reduced!

Aren’t equations interesting? TAKE OUT YOUR STUDY GUIDE

a – -3 = 21 Get the variable alone Add -3 to both sides. a = and – -3 cancel out = 21 Check your answer Use inverse operations to solve integer equations. #7 Finish your check 21 = 21

-8x = -64 Get the variable alone Divide -8 into both sides. x = 8 -8 divided by -8 cancel out to = -64 Check your answer. Divide the same number into both sides #8 Finish your check. -64 = -64

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

1) -7x = x = 7 -7(7) = = -49 2) (-5) -55 = x 11 = 11 Solve and Check

1) 9 + (-5) = 4 4 = 4 2) - 3 = (4) – = - 3 Solve and Check

1) 10 = 10 2) -8(-9) = = 72 Solve and Check

Solve the division by multiplying by the reciprocal. 1) 2)

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