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First Day of Math! Numbers are like people, torture them and they will give you answers

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2. PENCIL 1.NOTEBOOK Algebra2 ‘Must Haves’

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Diagnostic Test Let’s see how much you know about Algebra1 and Geometry

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More on factoring

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Properties of REAL NUMBERS

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Subsets of Real Numbers

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Opposites Two real numbers that are the same distance from the origin of the real number line are opposites of each other. Examples 2 and -2-100 and 100

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Reciprocals Two numbers whose product is 1 are reciprocals of each other. Examples

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Absolute Value The absolute value of a number is its distance from 0 on the number line. The absolute value of x is written. Examples

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Commutative Property of Addition a + b = b + a When adding two numbers, the order of the numbers does not matter. Examples 2 + 3 = 3 + 2(-5) + 4 = 4 + (-5)

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Commutative Property of Multiplication a b = b a When multiplying two numbers, the order of the numbers does not matter. Examples 2 3 = 3 2(-3) 24 = 24 (-3)

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Associative Property of Addition a + (b + c) = (a + b) + c When three numbers are added, it makes no difference which two numbers are added first. Examples 2 + (3 + 5) = (2 + 3) + 5 (4 + 2) + 6 = 4 + (2 + 6)

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Associative Property of Multiplication a(bc) = (ab)c When three numbers are multiplied, it makes no difference which two numbers are multiplied first. Examples –2 (3 5) = (2 3) 5 (4 2) 6 = 4 (2 6)

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Distributive Property a(b + c) = ab + ac Multiplication distributes over addition. Examples 2 (3 + 5) = (2 3) + (2 5) (4 + 2) 6 = (4 6) + (2 6)

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Identity Property of Addition This property states that if 0 is added to a number, the result is that number. Example: 3 + 0 = 0 + 3 = 3

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Identity Property of Multiplication This property states that if a number is multiplied by 1, the result is that number. Example: 5 1 = 1 5 = 5

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Inverse Property of Addition This property states that opposites add to zero. 7 + (-7) = 0 and -4 + 4 = 0

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Inverse Property of Multiplication This property states that reciprocals multiply to 1.

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LET’S SEE IF YOU CAN IDENTIFY THE PROPERTY USED IN EACH EQUATION

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Identify which property that justifies each of the following. 4 (8 2) = (4 8) 2

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Identify which property that justifies each of the following. 4 (8 2) = (4 8) 2 Associative Property of Multiplication

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Identify which property that justifies each of the following. 6 + 8 = 8 + 6

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Identify which property that justifies each of the following. 6 + 8 = 8 + 6 Commutative Property of Addition

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Identify which property that justifies each of the following. 12 + 0 = 12

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Identify which property that justifies each of the following. 12 + 0 = 12 Identity Property of Addition

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Identify which property that justifies each of the following. 5(2 + 9) = (5 2) + (5 9)

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Identify which property that justifies each of the following. 5(2 + 9) = (5 2) + (5 9) Distributive Property

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Identify which property that justifies each of the following. 5 + (2 + 8) = (5 + 2) + 8

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Identify which property that justifies each of the following. 5 + (2 + 8) = (5 + 2) + 8 Associative Property of Addition

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Identify which property that justifies each of the following.

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Identify which property that justifies each of the following. Inverse Property of MULTIPLICATION

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Identify which property that justifies each of the following. 5 24 = 24 5

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Identify which property that justifies each of the following. 5 24 = 24 5 Commutative Property of Multiplication

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Identify which property that justifies each of the following. 18 + -18 = 0

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Identify which property that justifies each of the following. 18 + -18 = 0 Inverse Property ADDITION

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Identify which property that justifies each of the following. -34 1 = -34

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Identify which property that justifies each of the following. -34 1 = -34 Identity Property MULTIPLICATION

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Classwork

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