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Day Problems

Day Problems. Evaluate each expression for 1. a – 2b 2. b ÷ c 3. a ÷ c 4. -2abc. 1.7 The Distributive Property. Distributive Property For every real number a, b, and c , a (b + c) = ab + ac (b + c) a = ba + ca a (b – c) = ab – ac (b – c) a = ba – ca Examples:

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Day Problems

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  1. Day Problems • Evaluate each expression for 1. a – 2b 2. b ÷ c 3. a ÷ c 4. -2abc

  2. 1.7 The Distributive Property • Distributive Property • For every real number a, b, and c, a (b + c) = ab + ac (b + c) a = ba + ca a (b – c) = ab – ac (b – c) a = ba – ca • Examples: • 5 (20 + 6) = 5 (20) + 5 (6) • (20 + 6) 5 = 20 (5) + 6 (5) • 9 ( 30 – 2) = 9 (30) – 9 (2) • (30 – 2) 9 = 30 (9) – 2 (9)

  3. Simplifying a Numerical Expression • Use the distributive property to simplify 34 (102). 34 (102) = 34 (100 + 2) = 34 (100) + 34 (2) = 3400 + 68 = 3468

  4. Simplifying an Expression • Simplify each expression. a. 2 (5x + 3) = 2 (5x) + 2 (3) = 10x + 6 b.

  5. Using the Multiplication Property of -1 • Simplify –(6m + 4). -(6m + 4) = -1 (6m + 4) = -1 (6m) + (-1)(4) = -6m – 4

  6. Algebraic Expressions 9/22/10 • Term – a number, a variable, or the product of a number and one or more variables. • Ex. 6a2 – 5ab + 3b – 12 • Constant – a term that has no variable.Ex. -12 • Coefficient – a numerical factor of a term.Ex. 6, -5, and 3

  7. Like Terms • Like terms – have exactly the same variable factors. Like Terms Not Like Terms 3x and -2x 8x and 7y -5x2 and 9x2 5y and 2y2 xy and –xy 4y and 5xy -7x2y3 and 15x2y3 x2y and xy2 • An algebraic expression in simplest form has NO like terms.

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