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### 20 Cards in this Set

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 Identify the property: a * b = b * a Commutative Property of Multiplication variables change place Identify the property: 3 * 0 = 0 Property of zero multiplying by zero Identify the property: a + b = b + a Commutative Property of Addition variables change place Identify the property: (a + b) + c = a + (b + c) Associative Property of Addition arms around the variables change Identify the property: (ab)* c = a * (bc) Associative Property of Multiplication arms around the variables change Identify the property: 5 * 1 = 5 a * 1 = a Identity Property of Multiplication names itsself Identify the property: 5 + 0 = 5 a + 0 = a Identity Property of Addition names itsself Rewrite using the Distributive Property of Multiplication: 4(a + 6) 4*a + 4*6 multiply by all terms within the parentheses Simplify using the Distributive Property of Multiplication: 8(y + 8) + 3 8y + 8*8 + 3 8y + 64 + 3 8y + 67 multiply only the terms inside the parentheses; add only like terms What is a variable? A variable represents a number. Variables can change from equation to equation Write an expression for: a number increased by eight n + 8 any letter is correct use a variable increased by means add Write an expression for: three times a number decreased by 10 3n - 10 any letter is correct use a variable decreased means subtract Write an expression for: three times a number divided by 6 3n/6 any letter is correct use a variable Write an expression for: six less than a number n - 6 any letter is correct use a variable less than means subtract take 6 from the number Write an expression for: four times a number increased by one divided by two times another number less three 4n + 1 any two letters are ------ correct 2y - 3 use two different variables What is the order of operations? parentheses exponents multiply & divide left to rt add & subtract left to right Please excuse my dear aunt Sally Evaluate for c = 3, m = 2: 2c + 5(m - 1) 2c + 5(m - 1) 2c + 5(2 - 1) 2c + 5(1) 2*3 + 5 6 + 5 11 Use order of operations Evaluate for a = 5, b = 7, c = 3 3(a + 2) + b * 6 + c 3(a + 2) + b * 6 + c 3(5 + 2) + 7 * 6 + 3 3(7) + 7 * 6 + 3 21 + 42 + 3 66 Use order of operations Rewrite using the distributive property: 5u + 5y 5(u + y) use parentheses Simplify: 6(a + 2) + 3 6(a + 2) + 3 6a + 12 + 3 6a + 15 multiply 6 times terms inside parentheses only