## New PDF release: Algebra DeMYSTiFieD (2nd Edition)

By Rhonda Huettenmueller

ISBN-10: 0071743626

ISBN-13: 9780071743624

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Extra resources for Algebra DeMYSTiFieD (2nd Edition)

Example text

150 xy (2 x + 17)(8 x − 3) 25 x (2 x + 17)(8 x − 3) 6 y = ⋅ 48 y 8 6y 25 x (2 x + 17)(8 x − 3) = 8 Operations on Fractions Containing Variables Multiplication of fractions with variables is done in exactly the same way as multiplication of fractions without variables—we multiply the numerators and multiply the denominators and divide out common factors. EXAMPLES Find the product. 7 3 x 7 ⋅ 3 x 21x ⋅ = = 10 4 10 ⋅ 4 40 24 3 24 ⋅ 3 12 ⋅ 3 36 ⋅ = = = 5 y 14 5 y ⋅ 14 5 y ⋅ 7 35 y 34 x 3 34 x ⋅ 3 17 x ⋅ 1 17 x ⋅ = = = 15 16 15 ⋅ 16 5⋅8 40 49 deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter2 50 a lg e b r a De mys tifie D PRACTICE Find the product.

150 xy (2 x + 17)(8 x − 3) = 48 y ✔SOLUTIONS 3 xy 3 y x 3 y = ⋅ = 2x 2 x 2 8x 2x 4 = ⋅ = 2x 2. 4 1 4 1. deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter 2 Chapter 2 I n t r o d u C t I o n t o V a r I a b l e s 3. 30 xy 15 x 2 y 15 x = ⋅ = 16 y 8 2y 8 4. 72 x 4 18 x 4 = ⋅ = 18 xy y 18 x y 5. x ( x − 6) x − 6 x x − 6 = ⋅ = 2x 2 x 2 6. 6 xy (2 x − 1) 2 y (2 x − 1) 3 x = ⋅ = 2 y (2 x − 1) 3x 1 3x 7. (5 x + 16)(2 x + 7) 5 x + 16 2 x + 7 5 x + 16 = ⋅ = 6(2 x + 7) 6 2x + 7 6 8. 24 x ( y + 8)( x + 1) 8( x + 1) 3 x ( y + 8) 8( x + 1) = ⋅ = 15 x ( y + 8) 5 3 x ( y + 8) 5 9.

4 7 9 + + 5 15 20 ✔SOLUTION Prime factorization of the denominators: 5=5 15 = 3 ⋅ 5 20 = 2 ⋅ 2 ⋅ 5 The LCD = 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 4 7 9  4 12   7 4   9 3  48 28 8 27 103 + + + + = = ⋅  +  ⋅  +  ⋅  = 5 15 20  5 12   15 4   20 3  60 60 60 60 EXAMPLE Find the sum. 3 5 1 + + 10 12 18 ✔SOLUTION Prime factorization of the denominators: 10 = 2 ⋅ 5 12 = 2 ⋅ 2 ⋅ 3 18 = 2 ⋅ 3 ⋅ 3 LCD = 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 5 = 180 3 5 1  3 18  + + = ⋅  + 10 12 18  10 18   5 15   ⋅ +  12 15   1 10  75 10 139 54 + + =  ⋅ =  18 10  180 180 180 180 DeMYstiFieD / algebra DeMYstiFieD / Gibilisco / 000-0 / Chapter 1 Chapter 1 F r a C t i o n s PRACTICE Find the sum.

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### Algebra DeMYSTiFieD (2nd Edition) by Rhonda Huettenmueller

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