Question 1

6. Which of the following is equivalent to:  $\frac{x+2}{x^2-64}*\frac{x^2+x-72}{x+9}$

Accepted Answer

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

Answer

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

Answer

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

Answer

$\frac{x+1}{x+4}$

Question 2

7.  Which of the following is equivalent to: $(\frac{3x-18}{x^2-36})(\frac{5}{x+6})$

Accepted Answer

$\frac{15}{(x+6)(x+6)}$

Answer

$\frac{15}{x+6}$

Answer

5

Answer

15

Question 3

8.  Divide and fully simplify the following expression: $\frac{x^2-11x-26}{x^3+x^2}\div\frac{9x+18}{7x^2}$

Accepted Answer

$\frac{7(x-13)}{9(x+1)}$

Answer

$\frac{9(x-13)}{7(x+1)}$

Answer

$\frac{7}{9}$

Answer

$\frac{(x-13)(x+2)9(x+2)}{x^2(x+1)7x^2}$

Question 4

9.  For $x
eq1$,  which of the following is equivalent to: $\frac{\frac{x-7}{1}}{\frac{1}{x-1}}$

Accepted Answer

$x^2-8x+7$

Answer

$\frac{x-7}{x-1}$

Answer

1

Answer

$\frac{x-1}{x-7}$

Question 5

14.  Add and fully simplify the following expression:  $\frac{x+1}{3}+\frac{2x}{9}$

Accepted Answer

$\frac{5x+3}{9}$

Answer

$\frac{5x+1}{3}$

Answer

$\frac{3x+1}{12}$

Answer

$\frac{3z+1}{9}$

Question 6

15.  Find the following sum:  $\frac{x+2}{16}+\frac{x-3}{6}+\frac{x}{12}$

Accepted Answer

$\frac{5x-6}{16}$

Answer

$\frac{15x-18}{48}$

Answer

$\frac{3x-1}{48}$

Answer

$\frac{3x-1}{34}$

Question 7

16.  Which of the following is equivalent to:  $\frac{2}{5x}-\frac{3}{5}$

Accepted Answer

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

Answer

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

Answer

$\frac{-1}{5x}$

Answer

$\frac{-x}{5x}$

Question 8

17.  Add and fully simplify the following expression:  $\frac{-50}{x^2+2x-63}+\frac{7}{x-7}$

Accepted Answer

$\frac{7x+13}{(x+9)(x-7)}$

Answer

$\frac{7x+13}{(x+9)}$

Answer

$\frac{-43}{(x+9)(x-7)}$

Answer

$\frac{-43}{(x+9)}$

Question 9

18.  Perform the operation and simplify the result when possible:  $\frac{x}{x+4}+\frac{1}{x-4}+\frac{-4-x}{x^2-16}$

Accepted Answer

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

Answer

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

Answer

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

Answer

$\frac{-3}{x^2+2x-16}$

Question 10

21.  Solve the equation below finding the value of x, check for extraneous solutions:  $\frac{10}{x}+\frac{3}{2}=4$

Accepted Answer

$4=x$

Answer

No Solution

Answer

$\frac{13}{2x}$

Answer

$x=-4$

Question 11

22.  Solve the equation.  If a solution is extraneous, so indicate.  $\frac{2x-4}{x+3}=3+\frac{x+1}{x+3}$

Accepted Answer

-7

Answer

8

Answer

5

Answer

$x=8$ is the solution, $x=-3$ is extraneous

Question 12

23.  Solve the equation.  If a solution is extraneous, so indicate.  $\frac{1}{x-6}+\frac{x}{x+2}=\frac{8}{x^2-4x-12}$

Accepted Answer

$x=-1$ only, $x=6$ is extraneous

Answer

$x=-1$ and $x=6$

Answer

$x=6$ only, $x=-1$ is extraneous

Answer

No Solution

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