SOLVING EQUATIONS INVOLVING FRACTIONS



MAT 0024 SOLVING EQUATIONS INVOLVING FRACTIONS

Worksheet 3

Sections 2.1 & 2.2

Summary: To solve equations, use the addition/multiplication principles to “Get rid of…”

1. Parentheses by using the distributive property. If no fractions, combine like terms.

2. Denominators: Multiply each side of equation by common denominator.

Decimals: Multiply each side of equation by 10, 100, 1000, etc. COMBINE LIKE TERMS.

BEFORE NEXT STEP EACH SIDE SHOULD BE NO MORE COMPLICATED THAN:

“4x – 8”

3. Signs (addition or subtraction) by using the addition principle (add opposites).

Get variable terms on one side of the equation and all constant terms on the

other side. Goal: Each side of equation is no more complicated than

“4x = -9.”

4. Coefficients by dividing by coefficient (BY SAME NUMBER). Goal: x = number

Parents, Do Send Cash

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25. 3.5X + 0.8 = 18.24 - 5.9X 26. 0.3X - .24 = 0.36 + .52X

PAGE 75: Odds 47 – 57, 61, 63

P. 83: 29, 30, all 45 – 52, 73, 75, 77

[even answers: P. 83: 30)8; 46)[pic];48)-3;50)-3, 52) 0.8] (024)

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