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 1.4 for further review) 2. Algebra is a language of efficiency. (-2) + (-5) should be simplified to -2 -5 (saving time and money). Whenever there is one sign between terms or numbers, assume addition and then the signs are signs of direction or positive or negative signs. 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 1.4 for further review) 3. If you are adding 2 numbers with the same sign (direction), how would you find out the sign and number of the answer? 4. 5. Please evaluate and explain: -1 - 2 (please see section 1.1 for further review) If you are adding 2 numbers with different signs (direction), how would you find out the sign and number of the answer? Please evaluate and explain: 2 - 5 (please see section 1.2 for further review) a - (-b) = a + (+b) = a + b Please use this to evaluate: -27 - (-19) = __ + (__) = (please see section 1.4 for further review) 6. Add: 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) 8. When multiplying or dividing signed numbers, count the number of negative signs: Even number of negative signs = + (positive) Odd number of negative signs = - (negative) 9. 10. Evaluate: (-8)(-5) (please see section 1.3 for further review) Evaluate: (-1)(+3)(-2)(-4) (please see section 1.3 for further review) -3 = -1*3 = -1 * 9 = -9 (order of operations) while (-3) = (-3)(-3) = +9 or 9 Evaluate: Z2 - X2 -XY if X = -2, Y = 3, and Z = -4