Problem Set

    1. Evaluate −3x2, −3x3, 3x2, (−3x)2, and (−3x)3 if x = 2, and also if x = −2.

    2. Evaluate (4 + 12 ÷ 3 − 18) − [−11 −(−4)]

    3. Which of the parentheses in the following expressions are unnecessary and could thus be removed without any change in the value of the expression?

      1. −(52) − (12 − 7)

      2. (x + y) − (w + z) − (a × b)

    4. Evaluate

    5. Simplify: x − (3 − x)

    6. Simplify: (4 − y) − 2(2y − 3)

    7. Solve for x: 2(2 − 3x) − (4 + x) = 7

    8. Solve for z:

    9. Quantity A Quantity B
      3 × (5 + 6) ÷ −1 3 × 5 + 6 ÷ −1
    10. (x − 4)3 + 11 = −16
      Quantity A Quantity B
      x −4
    11. 2x + y = 10
      3x − 2y = 1
      Quantity A Quantity B
      x y