Algebra

  1. Please evaluate and explain your answer using a number line: (-2) + (-5) =
    Did you change direction or go in the same direction?
    Was your answer on the positive ("+") or negative ("-") side of 0? (please see section 1.1 for further review)

  1. Please evaluate and explain your answer using a number line: (-6) + (+2) =
    Did you change direction or go in the same direction?
    Simplify by removing unnecessary symbols: _ _ _ _ = _ _ (please see section 1.2 for further review)
  2. Evaluate: (-2)3 + (-5+8) / 3 -15 (Please see section 1.4 an 1.5)
  3. If you are adding 2 numbers with different signs (direction), how would you find out the sign and number of the answer? Please answer the problem below and state the rule. Please evaluate and explain: 2 - 5 (please see section 1.2 for further review)
  4. Remove grouping symbols and combine like terms: 5(2c -d) -(5c +6d) (please see section 1.9 for review)
  5. Evaluate: 8 + |-11| – (-1) + (-5) (please see sections 1.2 and for further review)
  6. Simplify: 4(2x – 5) (please see sections 1.6 for further review)

When multiplying or dividing signed numbers, count the number of negative signs:

Even number of negative signs = + (positive)
Odd number of negative signs = - (negative)

  1. Evaluate: (-8)(-5) (please see section 1.3 for further review)
  2. Evaluate: (-1)(+3)(-2)(-4) (please see section 1.3 for further review)

-3² = -1*3² = -1 * 9 = -9 (order of operations) while (-3)² = (-3)(-3) = +9 or 9

  1. Evaluate: Z2 – X2 -XY if X = -2, Y = 3, and Z = -4