Entry-Level Assessment

Multiple Choice

Read each question. Then write the letter of the correct answer on your paper.

1. Let A = {1, 2, 3, 4} be a set in the universe U = {1, 2, 3, 4, 5, 6, 7, 8}. What is the complement of A?
   1. {2, 3}
   2. {5, 6, 7, 8}
   3. {1, 2, 3, 4}
   4. {2, 3, 7, 8}
2. Solve x 2 + 2 x − 3 = 0 x squared , plus 2 x minus 3 equals 0  by factoring.
   6. x = − 3 x equals negative 3  and x = 1 x equals 1
   7. x = − 1 x equals negative 1  and x = 3 x equals 3
   8. x = 0 x equals 0
   9. x = − 3 x equals negative 3  and x = 0 x equals 0
3. Simplify 3 a 2 b 3 − 12 a 4 b 3 + 6 a 4 b 2 3 a 2 b . fraction 3 , eh squared , b cubed , minus 12 , eh to the fourth , b cubed , plus 6 , eh to the fourth , b squared , over 3 , eh squared , b end fraction . .
   1. b 2 − 4 a 2 b 2 + 2 a 2 b b squared , minus , 4 eh squared . b squared , plus , 2 eh squared , b
   2. a 2 b − 4 a 2 b 2 + 2 a 2 b eh squared , b , minus , 4 eh squared . b squared , plus , 2 eh squared , b
   3. 3 b 2 − 12 a 2 b + 6 b 2 3 b squared , minus , 12 eh squared , b plus , 6 b squared
   4. 3 a b 2 − 4 a 2 b + 2 a b 2 3 eh , b squared , minus , 4 eh squared , b plus . 2 eh b squared
4. Which relation is not a function?
   6. {(1, − 5 negative 5 ), (2, 4), (1, − 4 negative 4 )}
   7. {(1, − 5 negative 5 ), (2, 4), (3, − 3 negative 3 )}
   8. {(1, − 5 negative 5 ), (2, 4), (3, 2)}
   9. {(1, − 5 negative 5 ), (2, 4), (3, − 4 negative 4 )}

5. In the diagram, m and n are parallel.

   

   What is the value of x?

   1. 36
   2. 60
   3. 120
   4. 144
6. Solve 2 ( 1 − 2 w ) = 4 w + 18 . 2 open 1 minus 2 w close equals 4 w plus 18 .
   6. − 4 negative 4
   7. − 2 negative 2
   8. 8
   9. 16
7. Which of the following lines is perpendicular to the line 3x + y = 2?
   1. y = 3 x + 4 y equals 3 x plus 4
   2. y = 1 3 x − 2 y equals , 1 third , x minus 2
   3. y = − 3 x + 3 y equals negative 3 x plus 3
   4. y = − 1 3 x + 1 y equals negative , 1 third , x plus 1
8. If y = 1, then ( x + 5 ) · y = x + 5 . open x plus 5 close middle dot y equals x plus 5 .  Which property supports this statement?
   6. Inverse Property of Multiplication
   7. Identity Property of Multiplication
   8. Associative Property of Addition
   9. Commutative Property of Addition

9. 

   Which inequality does the graph represent?

   1. y < 2 x − 4 y less than , 2 x minus 4
   2. y > − 4 x + 2 y greater than , minus 4 x plus 2
   3. y > 2 x − 4 y greater than , 2 x minus 4
   4. y < − 4 x + 2 y less than , minus 4 x plus 2
10. The area of a trapezoid is A = 1 2 h ( b 1 + b 2 ) . eh equals , 1 half , h . open . b sub 1 , plus , b sub 2 . close . .  Solve for b 1 . b sub 1 , .
    6. b 1 = 2 A − b 2 h b sub 1 , equals . fraction 2 eh minus , b sub 2 , over h end fraction
    7. b 1 = 2 A − h b 2 b sub 1 , equals . fraction 2 eh minus h , over b sub 2 end fraction
    8. b 1 = 2 A h − b 2 b sub 1 , equals , fraction 2 eh , over h end fraction , minus , b sub 2
    9. b 1 = 2 A − b 2 b sub 1 , equals 2 eh minus , b sub 2

Table of Contents