1.

Find the indicated value for the given rational expression. Match your result to the correct answer below.

A)      B)      C)      D) 

2.

Reduce the given expression to lowest terms.

A)      B)      C)      D) 

3.

Reduce the given expression to lowest terms.

A)      B)      C)      D)  y + 1

4.

Reduce the given expression to lowest terms.

A)      B)      C)      D) 

5.

Reduce the given expression to lowest terms and match your result to the correct answer below.

A)      B)      C)      D) 

6.

Reduce the expression to lowest terms and match your result to the correct answer below.

A)      B)      C)      D) 

7.

Build the rational expression into an equivalent rational expression with the indicated denominator. Match your result to the correct answer below.

A)      B)      C)      D) 

8.

Perform the indicated operations and write your result in lowest terms. Match your result to the correct answer below.

A)      B)      C)      D) 

9.

Perform the indicated operations and write your result in lowest terms. Match your result to the correct answer below.

A)      B)      C)      D)  0

10.

Solve the equation and match your result to the correct answer below. Watch for extraneous solutions.

A)  –2, 5    B)  4, –4    C)  –4    D)  No solution

1.

Which of the following graphs correctly describes the system and its solution?

A)

B)

C)

D)

None of these.

2.

Which of the following systems of equations corresponds to the graph?

A)      B)      C)      D) 

3.

Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent. Match your result to the correct answer below.
4x + 10y = –28
6x + 7y = 6

A){(–2,–2)}, independent

C)

{(8,–6)}, independent

B){(1,0)}, dependent

D)

Æ, inconsistent

4.

Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent. Match your result to the correct answer below.
4x – 3y = 4
12x – 9y = 12

A)  {(0, 0)}, independent    B)  {(4, 4)}, independent    C)  dependent    D)  Æ, inconsistent

5.

The length of a rectangular painting is 9 feet greater than the width.  If the perimeter is 30 feet, then what are the length and the width?

A)  Length 12 ft, width 3 ft   B)  Length 16 ft, width 7 ft   
C)  Length 10 ft, width 1 ft   D)  Length 20 ft, width 11 ft

1.

Write as a single interval if possible: [–2, ¥)Ç(–¥,–7)

A)  (–¥, ¥)    B)  [–2, ¥)    C)  (–7, –2)    D)  Æ

2.

Graph the solution set of the compound inequality and match your result to the correct answer below.

A)

B)

C)

D)

3.

Graph the solution to the compound inequality –4 < x – 2 < 1.

A)

B)

C)

D)

4.

Solve: |3(x + 2) – 4| = 1

A)      B)      C)      D) 

5.

Solve the inequality and write the solution set in interval notation. Match your result to the correct answer below.
3 < |x| – 5

A)  (–8, 8)    B)  (–¥, –8)È(8, ¥)    C)  (8, ¥)    D)  (–¥, –8)Ç(8, ¥)

6.

Graph the solution to the absolute value inequality and match your result with the correct answer below.
 

A)

B)

C)

D)

7.

Which graph below correctly indicates the solution set of the linear inequality ?

A)

B)

C)

D)

8.

Which graph below correctly indicates the solution set of the linear inequality ?

A)

B)

C)

D)

9.

Which of the following graphs correctly represents the solution set of the compound inequality  or ?

A)

B)

C)

D)

10.

Which of the following graphs correctly represents the solution set of the inequality ?

A)

B)

C)

D)

1.

Find the root:

A)  4    B)  –16    C)  16    D)  –4

2.

Find the root:

A)      B)      C)      D) 

3.

Simplify:

A)  4    B)      C)  9    D)  –4

4.

Find the domain of the radical function.

A)  [–4, 4]    B)  [–4, ∞)    C)  (–∞, 4]    D)  (–∞, ∞)

5.

Evaluate: (125)^–4/3

A)      B)      C)      D)  5

6.

Simplify.

A)      B)      C)      D) 

7.

Simplify:

A)      B)      C)      D) 

8.

Simplify:

A)      B)      C)      D) 

9.

Find all real solutions: x² = 81

A)  {9}    B)  {–9}    C)  {–9, 9}    D) 

10.

Find all real solutions: z² – 20 = 0

A)      B)      C)      D) 

11.

Find the sum:

A)      B)  3    C)      D) 

12.

Find the product: (–6 + 4i)(–6 + 4i)

A)  20    B)   – 48i    C)  –10 – 48i    D)  20 – 48i

13.

Find the quotient:

A)      B)      C)      D) 

14.

Find the complex solutions:

A)

C)

B)

D)

15.

Solve:

A)      B)      C)      D) 

1.

Solve by factoring: x² + x – 72 = 0

A)  {–9, –8}    B)  {8, 9}    C)  {–8, 9}    D)  {–9, 8}

2.

Solve: (x – 3)² = 36

A)  {–3, 3}    B)  {–3, 9}    C)  {9, 9}    D)  {3, 9}

3.

Solve by completing the square and match your result to the correct answer below.
3x² + 5x – 1 = 0

A)

C)

B)

D)

4.

Solve:

A)  {1, 4}    B)  {–1, –4}    C)  {4}    D) 

5.

Find the imaginary solutions: x² – 18x + 130 = 0

A)  {–9 + 7i, 9 – 7i}    B)  {9 – 7i, –9 – 7i}    C)  {9 – 7i}    D)  {9 – 7i, 9 + 7i}

6.

Solve the given equation using the quadratic formula. Show your work.
y² + 15y = –54

A){–9, –6}    B)  {9, 6}    C)  {9}    D) 

7.

Find b² – 4ac and the number of real solutions for the given equation.

A)  0, 1    B)  0, 2    C)  1152, 2    D)  0, 0

8.

Determine whether the graph of the quadratic function opens upward or downward.
f(x) = x² + x – 9

A)  Upward      B)  Downward

9.

Which of the following is the correct graph of the function f(x) = x² - 1?

A)

C)

B)

D)

10.

Find the vertex and intercepts of the function . Match your result to the correct answer below.

A)

Vertex:  ; Intercepts:

B)

Vertex:  ; Intercepts:

C)

Vertex:  ; Intercepts:

D)

Vertex:  ; Intercepts: