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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 1. m 3 4 2. 5. 2 x6 7 6. 5 9. 3 2 t 4 3 10. 13. 2 y 3 1 5 2 1 x5 4 x 6 2 3 t 3 5 14. y 3. t 6 3 4. 6 7. m 5 8 8. 11. 5 3 x 6 4 2 1 5 3 3x 5 m 2 3 12. 3 1 x 4 2 15. 1 1 t4 4 2 16. 1 1 x x 3 x 4 2 19. 2 x 2 3 5 22. 1 2 1 t 1 t t 2 5 5 25. 3.5X + 0.8 = 18.24 - 5.9X 17. 20. 1 3 2m m 3 2 3 2 x 1 2 4 23. 18. m 21. 1 2 2 m 2 m 5 3 5 24. 2 1 m 1 3 4 2 3x 1 5 3 1 1 w3 w 4 3 26. 0.3X - .24 = 0.36 + .52X PAGE 75: Odds 47 – 57, 61, 63 P. 83: 29, 30, all 45 – 52, 73, 75, 77 2 [even answers: P. 83: 30)8; 46) ;48)-3;50)-3, 52) 0.8] 3 (024)