1. September 13, 2012 Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  5 2 3. Translate into an algebraic equation: 5 less than the product of 2 and a number is 10. 4.|-13| - |8|5. What type of real number is -8? (there is more than 1 answer) HW: 2.1 WS #2- 30even, skip 22

2. Combining Integers The sign of the integer determines whether you add or subtract. “+” positives“−” negatives So, 3 + 1 = 4-3 + (-1)= - 4-3 + 1= -2

3. “Subtracting” Integers Adding the opposite a)5 – (-3) b) -5 – (-3) c) 5 – 3 d) -5 – 3

4. Rules for Combing Integers SAME SIGN DIFFERENT SIGN SUM DIFFERENCE Practice 1. 14 + (-4)2. -21 + (-23) 3. 5 − (-27)4. -10 − 18 + (-2) 5. -20 + (-8) − (-3)

5. Simplifying Algebraic Expressions Combining Like Terms Example: 4(2x – y) + 3(-5x – 2) Practice: 6. 8(x + 4) + 3(-9x + 2)7. 3x – (-5y) – 12y – x

6. Rules for Multiplying and Dividing one negative = negative two negatives = positive + + + ── ── ── Examples: 1. (-11)(-3)2. 4(-8) 3. -2(-3)(-1) Simplify: 4. (-3x)(-2y)5. 4x(-x)6.

7. Using integer rules to simplify expressions 1. 2x – 3y – 8x + 52. -8(3x – 4) 3. 7(-x + 4) – (x – 2) 4.