Algebra Placement Test
Sample Questions and Solutions

(for students majoring in fields other than mathematics or engineering)

ALGEBRA QUESTIONS

POSSIBLE SOLUTIONS

1. If x = - 4, then 2x2 - 3x + 1 = a. -19
b. 21
c. -43
d. 45
e. -3
2. -9x + 5y - 12 + 4x + 23 - 13y = a. -5x - 8y + 11
b. -2xy
c. -5x + 8y - 35
d. 5x - 8y - 11
e. 13x + 18y + 35
3. -4(8-5)2 + (4-16) =
               24
a. 8.25
b. - 3
c. - 21
       4
d. 84.8
e. 3
    2
4. If 2x + 6 = 4(x+3), then x = a. 3
b. 3
    2
c. - 2
      3
d. - 3
      2
e. - 3
5. (x - 6)2 = a. x2 - 36
b. x2 + 36
c. x2 - 12
d. x2 - 6x - 12
e. x2 - 12x + 36
Correct Answers 1. d
2. a
3. b
4. e
5. e