Name________________________
SOLVING
EQUATIONS—THE DISTRIBUTIVE PROPERTY #2
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(2x - 3) = 25 (divide by 5 on both sides)
6x - 30 = 48 (add 30 to both sides) 2x - 3 = 5 (add 3 to both sides)
6x = 78 (divide both sides by 6) 2x = 8 (divide both sides by 2)
x = 13 x = 4
1) 4(2x - 10) = 16 2) 3(4x - 3) = 27 3) 2(x - 10) = 60 4) 4(3x - 4) = 68
x = _________ x = _________ x = _________ x = _________
5) 5(2x - 3) = 45 6) 7(4x - 1) = 49 7) 2(10x - 10) = 60 8) 4(3x - 2) = 76
x = _________ x = _________ x = _________ x = _________
9) 5(2x - 10) = 30 10) 2(12x - 1) = 22 11) 15(x - 3) = 60 12) 2(20x - 2) = 36
x = _________ x = _________ x = _________ x = _________