ANSWERS to Elementary Algebra Review Questions

(to test out of MAT 092 and INTO MAT 120 or MAT 122)

    1. 4

    2. -3, 4, 0

    4. 4, 0


    1. -25

    3. 700.05

    4. -12

    5. 14

    6. -54

    7. 41

    8. 52

    9. 9



    4. a. e.
    b. f.
    c. g.
    d. 48h.

    1. 5x + 5

    2. 1 - 3x

    3. -3x - 10

    4. 2x2 + 3x + 3

    5. -15x3 + 25x2 - 10x

    6. 15x2 + 11x - 14

    7. -2x2y2 - 2x4y + 8xy3 - 15x3y + 3x5

    8. 8x2 - 5x + 6y

    9. 4x + 3

    1. 5x(7x2 + 5x -3)

    2. (5x + 4) (5x - 4)

    3. Prime (not factorable over Reals)

    4. (y + 1)(x - 1)

    5. (4x - 1)(3x + 2)

    6. y(2x - 3)2

    7. xy(12x2y + 5x -3y)

    8. (2x - 3)2

    9. (x - 3)(3x - y)

    10. x (x - 4)(x - 1)

    11. 4(x + 2)(x - 2)


    7. a. b. c.


    8. a. 9d.
    b. e.
    c.

    1. 3


    10. a. f. 18
    b. 30g.
    c. 2h.
    d. i.
    e.


  10. a. b.

    1. x = - 4

    2. x = 5

    4. x = - 12

    5. x = 27

    6. x = 0

    7. x = 0 or x = 3

    9. x = 7

    10. No solution

    1. x <= 2

    2. x < 3

    1. 5N - 4 = 6; N = 2


    4. let w represent the width of the rectangle
      let w + 3 represent the length of the rectangle
      2(w + 3) + 2w = 46; w = 10

    5. let x represent the number of bicycles purchased at $80 each
      let 200 - x represent the number of bicycles purchased at $100 each
      80x + 100(200 - x) = 17000; x = 150
      150 bicycles were purchased at $80 each and 50 bicycles were purchased at $100 each

    6. let x represent the cost of the pair of shoes
      x + .4x = 72.80; x = 52
      The cost of the shoes was $52.00