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)

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2. 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)

3. Evaluate: (-2)3 + (-5+8) / 3 -15 (Please see section 1.4 an 1.5)

4. 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)

5. Remove grouping symbols and combine like terms:   5(2c -d) -(5c +6d)  (please see section 1.9 for review)

6. Evaluate:  8 + |-11| – (-1) + (-5)  (please see sections 1.2 and for further review)

7. 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)

8. Evaluate:  (-8)(-5)  (please see section 1.3 for further review)

9. 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

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