New PDF release: Algebra DeMYSTiFieD (2nd Edition)

By Rhonda Huettenmueller

ISBN-10: 0071743626

ISBN-13: 9780071743624

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Additional info for Algebra DeMYSTiFieD (2nd Edition)

Sample text

18 x 2 ⋅ = 19 11x 4. 5x 4 y ⋅ = 9 3 ✔SOLUTIONS 1. 4x 2 8x ⋅ = 9 7 63 2. 2 6y 2 ⋅ 6y 2 ⋅ 2y 4y ⋅ = = = 3x 5 3x ⋅ 5 x ⋅ 5 5x 3. 18 x 2 18 x ⋅ 2 18 ⋅ 2 36 ⋅ = = = 19 11x 19 ⋅ 11x 19 ⋅ 11 209 4. 5 x 4 y 20 xy ⋅ = 9 3 27 At times, especially in calculus, students need to separate a variable from the rest of the fraction. This involves writing the fraction as a product of two fractions, or of one fraction and a whole number, or of one fraction and a variable. The steps we follow are the same as in multiplying fractions—only in reverse.

7 21 ⋅ 131 = ⋅ = = 10 2 3 6 1. 143 ⋅ 2 121 = 5. 3 1 3 9 27 11 ⋅24 = ⋅ = = 116 4 4 4 16 Dividing Mixed Numbers Division of mixed numbers is similar to multiplication in that we first convert the mixed numbers into improper fractions. Recall that we perform division with fractions by rewriting the problem as a multiplication problem. That is, we use the following rule: a b c d = a c a d ad ÷ = ⋅ = b d b c bc DeMYstiFieD / algebra DeMYstiFieD / Gibilisco / 000-0 / Chapter 1 Chapter 1 F r a C t i o n s EXAMPLE 3 31 = 125 10 3 7 5 = 10 7 10 5 50 ÷ = ⋅ = = 2 218 3 5 3 7 21 PRACTICE Convert the mixed number to an improper fraction and then simplify the compound fraction.

11 5 − = 12 18 2. 7 9 + = 15 20 3. 23 7 + = 24 16 4. 3 7 + = 8 20 5. 1 4 + = 6 15 6. 8 3 + = 75 10 7. 35 7 − = 54 48 8. 15 3 + = 88 28 9. 119 17 + = 180 210 DeMYstiFieD / algebra DeMYstiFieD / Gibilisco / 000-0 / Chapter 1 Chapter 1 F r a C t i o n s ✔SOLUTIONS 1. 11 5  11 3   5 2  33 10 23 − = − = ⋅  −  ⋅  = 12 18  12 3   18 2  36 36 36 2. 7 9  7 4   9 3  28 27 55 11 + = = + = ⋅  +  ⋅  = 15 20  15 4   20 3  60 60 60 12 3. 23 7  23 2   7 3  46 21 67 + = + = ⋅  +  ⋅  = 24 16  24 2   16 3  48 48 48 4.

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Algebra DeMYSTiFieD (2nd Edition) by Rhonda Huettenmueller


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