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September 13, 2012 Working with Integers

HW: 2.1 WS #2-30even, skip 22. 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.

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September 13, 2012 Working with Integers

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  1. HW: 2.1 WS #2-30even, skip 22 September 13, 2012Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  52 3. Translate into an algebraic equation: 5 less than the product of 2 and a number is 10. |-13| - |8| 5. What type of real number is -8? (there is more than 1 answer)

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

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

  4. Rules for Combing IntegersSAME 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 ExpressionsCombining 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 • 2x – 3y – 8x + 5 2. -8(3x – 4) 3. 7(-x + 4) – (x – 2) 4.

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