Quiz about CCA 2 Ch 3 Review EV #1

Question 1

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 2

Simplify

Accepted Answer

1/(x-9)

Answer

(x-9)/(x+9)

Answer

(x+9)

Answer

1/(x+9)

Question 3

Simplify by factoring:

$$\frac{x^2+5x-14}{x^2-4}$$

Accepted Answer

$$\frac{x+7}{x+2}$$

Answer

$$\frac{x+7}{x-2}$$

Answer

$$\frac{x-7}{x-2}$$

Answer

$$\frac{x-7}{x+2}$$

Question 4

Multiply the following rational expressions, simplifying the answer if needed. $$\frac{\left(x+3\right)\left(x+6\right)}{x+5}\cdot\frac{x-3}{\left(x+3\right)\left(x-3\right)}$$

Accepted Answer

$$\frac{x+6}{x+5}$$

Answer

$$\frac{x^3+9x^2-54}{x^3+45}$$

Answer

$$\frac{3x^2+x+5}{x-2}$$

Answer

$$\frac{\left(x+9\right)\left(x+2\right)}{\left(x+5\right)\left(x-3\right)}$$

Question 5

$$\frac{\left(x+5\right)}{\left(x-3\right)}\div\frac{\left(x+5\right)}{\left(x-4\right)}$$

Accepted Answer

(X - 4) / (X - 3)

Answer

(X - 4) / (2X - 3)

Answer

(X +4) / (X + 3)

Question 6

Divide the Rational Expression

$$\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$$

Accepted Answer

$$6$$

Answer

$$\frac{9}{k-4}$$

Answer

$$\frac{k+7}{8}$$

Answer

$$k-3$$

Question 7

$$\frac{8x}{x+1}-\frac{10x}{x+1}$$

Accepted Answer

$$\frac{-2x}{x+1}$$

Answer

$$\frac{-80x^2}{x^2+2x+1}$$

Answer

$$\frac{2x^2}{x+1}$$

Answer

$$\frac{18x}{x+1}$$

Question 8

$$\frac{4}{x+3}+\frac{7}{x+3}$$

Accepted Answer

$$\frac{11}{x+3}$$

Answer

$$\frac{11}{2x+6}$$

Answer

$$\frac{28}{x^2+6x+9}$$

Answer

$$\frac{11}{x^2+9}$$

Question 9

$$\frac{10}{x-1}+\frac{7}{x+3}$$

Accepted Answer

$$\frac{17x+23}{\left(x+3\right)\left(x-1\right)}$$

Answer

$$\frac{3}{\left(x+3\right)\left(x-1\right)}$$

Answer

$$\frac{17x-4}{\left(x+3\right)\left(x-1\right)}$$

Answer

$$\frac{70}{\left(x+3\right)\left(x-1\right)}$$

Question 10

$$\frac{x}{x+8}-\frac{3x}{x+2}$$

Accepted Answer

$$\frac{-2x^2-22x}{\left(x+2\right)\left(x+8\right)}$$

Answer

$$\frac{-2x}{\left(x+2\right)\left(x+8\right)}$$

Answer

$$\frac{-3x^2}{\left(x+2\right)\left(x+8\right)}$$

Answer

$$\frac{2x\left(2x+13\right)}{\left(x+2\right)\left(x+8\right)}$$

Question 11

$$\frac{\left(x-3\right)}{x^2+3x-4}+\frac{2x}{x+4}$$

Accepted Answer

$$\frac{\left(2x^2-x-3\right)}{\left(x+4\right)\left(x-1\right)}$$

Answer

$$\frac{\left(2x^2-3x-3\right)}{\left(x+4\right)\left(x-1\right)}$$

Answer

$$\frac{\left(3x-3\right)}{\left(x+4\right)\left(x-1\right)}$$

Answer

$$\frac{\left(3x^2-x-3\right)}{\left(x+4\right)^2\left(x-1\right)}$$

Question 12

Factor using Greatest Common Factor

Hint: 1x2 Box

$$2x^4-6x^2$$

Accepted Answer

$$2x^2\left(x^2-3\right)$$

Answer

$$2x^2\left(x^2+3\right)$$

Answer

$$x^2\left(2x^2-6\right)$$

Answer

$$2x\left(x^3-3x\right)$$

Question 13

Factor using Greatest Common Factor

Hint: 1x2 Box

$$6x^2+15x$$

Accepted Answer

$$3x\left(2x+5\right)$$

Answer

$$x\left(6x+15\right)$$

Answer

There is no GCF

Answer

$$6x\left(x+15\right)$$

Question 14

$$\frac{7x^3}{21x}$$

Accepted Answer

$$\frac{1x^2}{3}$$

Answer

$$3x^2$$

Answer

$$\frac{1}{3x^2}$$

Answer

$$\frac{1x^3}{3x}$$

Question 15

$$\frac{48x\left(x-3\right)\left(x+2\right)^2}{16x^2\left(x+3\right)\left(x+2\right)}$$

Accepted Answer

$$\frac{3\left(x-3\right)\left(x+2\right)}{x\left(x+3\right)}$$

Answer

$$\frac{3x\left(x-3\right)\left(x+2\right)}{x^2\left(x+3\right)}$$

Answer

$$\frac{\left(x-3\right)\left(x+2\right)}{3x\left(x+3\right)}$$

Answer

$$\frac{3\left(x-3\right)}{x\left(x+3\right)}$$

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