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SOLVING EQUATIONS—THE DISTRIBUTIVE PROPERTY #1--KEY

Directions: Solve for x in each equation below. Your first step should be to use the distributive property to simplify the equation. Then use inverse operations to get the variable all by itself on one side of the equation. Make sure to show your work.

Examples: 3(2x + 10) = 48 (distribute 3 to each term)) 5(3 + 2x) = 25 (distribute 5 to each term)

6x + 30 = 48 (subtract 30 from both sides) 15 + 10x = 25 (subtract 15 from both sides)

6x = 18 (divide both sides by 6) 10x = 10 (divide both sides by 10)

x = 3 x = 1

1) 3(2x + 10) = 54 2) 6(4x + 1) = 78 3) 2(x + 10) = 60 4) 4(3x + 2) = 68

x = 4 ___ x = 3 ___ x = 20___ x = 5___

5) 9(2 + 3x) = 45 6) 8(4 + x) = 64 7) 2(10 + 10x) = 60 8) 4(3 + 2x) = 76

x = 1 ___ x = 4___ x = 2 ___ x = 8___

9) 5(2x + 10) = 50 10) 2(12 + 3x) = 42 11) 15(x + 3) = 60 12) 2(20 + 2x) = 80

x = 0___ x = 3 ___ x = 1 ___ x = 10___