Name________________________

SOLVING EQUATIONS—THE DISTRIBUTIVE PROPERTY #1

Directions: Solve for x in each equation below. You can attack this problem several ways. Example 1 shows you how to use the distributive property to simplify the equations, then use inverse operations to isolate the variable. Example 2 shows you how to divide both sides by the number being distributed, then use inverse operations to isolate the variable.

Examples: 3(2x + 10) = 48 (distribute 3 to each term)) 5(3 + 2x) = 25 (divide by 5 on both sides)

6x + 30 = 48 (subtract 30 from both sides) 3 + 2x = 5 (subtract 3 from both sides)

6x = 18 (divide both sides by 6) 2x = 2 (divide both sides by 2)

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 = _________ x = _________ x = _________ x = _________

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

x = _________ x = _________ x = _________ x = _________

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

x = _________ x = _________ x = _________ x = _________