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2 Multiply and Divide Rational Expressions

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Perform the indicated operations and simplify the result. Leave the answer in factored form.

1) 4x/8x + 4· 10x + 5/7

A) 5x/28B) 5x/7C) x/7D) 5/7

2) 5x – 5/x

· 6x2/9x – 9

A) 30x3 – 30x2/9x2 – 9x

B) 45x2 + 90x + 45/6x3C) 10x/3D) 3/10x

3) x3 + 1/x3 – x2 + x· 9x/-72x – 72

A) – x3 + 1/8(x + 1)B) x + 1/8(-x – 1)C) – x2 + 1/8D) – 1/8

4) x2 + 7x + 10/x2 + 14x + 45· x2 + 16x + 63/x2 + 9x + 14

A) 1 B) 1/x + 7C) x + 2/x + 9D) x + 9/x + 7

5) x2 – 19x + 88/x2 – 6x + 8 x2 – 5x + 4/x2 – 17x + 72

A) (x – 11)/(x – 9)B) (x + 11)(x + 1)/(x + 2)(x + 9)

C) (x2 – 19x + 88)(x2 – 5x + 4)/(x2 – 6x + 8)(x2 – 17x + 72)

D) (x – 11)(x – 1)/(x – 2)(x – 9)

6) x2 + 11x + 30/x2 + 14x + 45· x2 + 9x/x2 – 2x – 48

A) 1/x – 8B) x/x – 8C) x/x2 + 14x + 45D) x(x + 9)/x – 8

7) 9x4 – 72x/3x2 – 12· x2 + x – 2/4x3 + 8x2 +16x

A) 3x(x – 1)/4B) 3x(x + 1)/4

C) 3x(x – 1)(x – 2)2/4(x + 2)2D) 3(x – 1)/4

8) x2 + 9x + 18/x2 + 11x + 24· x2 + 8x/x2 + 9x + 18

A) 1/x + 3B) x/x2 + 11x + 24

C) x2 + 8x/x + 3D) x/x + 3

9) 10x2 – 3x – 4/5x2 – x – 4· 15x2 + 12x/1 – 4x2

A) 3x(5x – 4)/(1 – 2x)(x – 1)B) (5x + 4)(5x – 4)/(1 – 2x)(x – 1)

C) 3x/(1 – 2x)(x – 1)D) 3x(5x + 4)/(1 – 2x)(x – 1)

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