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