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Question 1 of 5Simplify each:
$$\large\frac{4}{\frac{1}{5}+ \frac{5}{x}}$$
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A
$$\frac{20x}{x + 25}$$
B
$$\frac{5x}{x + 50}$$
C
$$\frac{5x}{4(x + 5)}$$
D
$$\frac{50x}{x - 50}$$
E
$$\frac{x}{4x - 1}$$
Question 2 of 5Simplify each:
$$\large\frac{\frac{5}{9}- \frac{5}{x - 2}}{\frac{x - 2}{5}+ \frac{x - 2}{3}}$$
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A
$$\frac{9x(5x^2 + x - 2)}{-5(x - 2)(x^2 - 27)}$$
B
$$\frac{3x^4 - 4x^3 + 4x^2 + 1}{18(2x + 5)}$$
C
$$\frac{-50x(2x + 1)}{(x - 2)(x^2 + 125)}$$
D
$$\frac{4x(x - 13)}{3(x - 1)^2}$$
E
$$\frac{25(x - 11)}{24(x - 2)^2}$$
Question 3 of 5Simplify each:
$$\large\frac{x}{\frac{x^2}{4}- \frac{x - 4}{2}}$$
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A
$$\frac{-x(3x + 4)}{2(x - 4)^2}$$
B
$$\frac{4x^2}{x^3 - 4x^2 + 16}$$
C
$$\frac{x^2 - 6x + 16}{2x(x - 4)}$$
D
$$\frac{4x}{x^2 - 2x + 8}$$
E
$$\frac{x + 4}{x}$$
Question 4 of 5Simplify each:
$$\large\frac{\frac{2}{x - 7}+ \frac{2}{3}}{\frac{4}{x}+ \frac{4}{x - 7}}$$
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A
$$\frac{-19(x - 7)}{-4x(x^2 - 14x + 43)}$$
B
$$\frac{27(x^2 + 2)}{-2(2x^2 - 3x + 21)}$$
C
$$\frac{12(x + 3)}{x^2(3x - 29)}$$
D
$$\frac{x(x - 4)}{6(2x - 7)}$$
E
$$\frac{x(x - 3)}{(x - 6)}$$
Question 5 of 5Simplify each:
$$\large\frac{\frac{x - 1}{y - 3}+ \frac{2x + 3}{y - 3}}{\frac{x - 1}{2x + 3}+ \frac{4}{y - 3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{(2x + 3)(3x + 2)}{xy + 5x - y + 15}$$
B
$$\frac{-(x - 1)(4x^2 + 1)}{4(xy - y - 11x)}$$
C
$$\frac{6(x - 1)(2x + 3)}{2xy + 2x + 3y - 17}$$
D
$$\frac{x - 1}{y - 3}$$
E
$$\frac{3(x + 1)(2x + 3)}{2xy - 1}$$

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