Assignment

Solving Rational Expressions (12 questions)

1. Find the excluded value(s) of (x-3)/(2x-1)

A. 1
B. 3
C. 2
D. 1/2

2. Find the excluded value(s) of 5x/((x+2)(x-2))

A. -2, 2
B. 2
C. -2
D. 0, -2, 2

3. Find the excluded value(s) for the following expression4x/(x^2+x-6 )

A. -3, 2
B. 2, 3
C. -6, 1
D. -1, 6

4. What is the least common denominator for the following equation? x/(x+3)+18/(x^2-9)=-12

A. x+3
B. x-3
C. (x+3)(x-3)
D. x

5. What would be the first step in solving the following problem? (-6)/(x^2-9)+4x/(x-3)=2

A. Make sure none of your answers are excluded values (extraneous solutions)
B. Solve the resulting equation
C. Multiply both sides of the equation by the least common multiple (LCM) to clear the fractions
D. Determine the excluded values

6. The problem below has been completely worked out for you. Which of the following statements is TRUE about this problem?

8 / (x2 - 9) = 1 / (x-3)
8 (x-3) = (x2 - 9)
8x - 24 = (x2 - 9)
0 = x2 - 8x + 15
0 = (x - 5) (x - 3)
x = 5, 3

A. The solutions are 3 and 5.
B. The only solution is 3 because 5 is an excluded value.
C. The only solution is 5 because 3 is an excluded value.

7. The problem below has been partially completed for you. What would be the next step in the problem?

A. 2x + 4 = 8
B. 2x - 4 = 8
C. -2x - 4 = 8
D. 6x - 4 = 8

8. What is the solution(s) to 2/x-4/(x-2)=8/(x^2-2x)?

A. 2
B. -6
C. 6
D. -2

9. Solve: (x+4)/(x-2)=(x+2)/(x+8)

A. -3
B. -8
C. 3
D. 2

10. Solve: x/3+x/6=9

A. 6
B. 3
C. 54
D. 18

11. f(x) = (2x + 6) / (x +2). Find f(6).

A. 18/4
B. 9/4
C. 7/4
D.11/4

12. f(x) = (2x + 6) / (x +2). Find x if f(x) = 1.

A. -4
B. -2
C. 8
D. 4.