Algebra 2 Unit 1: Algebraic Essentials

Algebra 2 Unit 1: Algebraic Essentials

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Section 1

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(42)15 = 4(215)

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Cards (15)

Section 1

(15 cards)

(42)15 = 4(215)

Front

Associative Property of Multiplication

Back

Associative

Front

Regrouping numbers in parenthesis Addition: (a + b) + c = a + (b + c) Multiplication: (ab)c = a(bc)

Back

Commutative

Front

Order is swapped Addition: a + b = b + a Multiplication: ab = ba

Back

Distributive

Front

Number outside parenthesis is multiplied by both two terms inside the parenthesis. a(b + c) = ab + ac

Back

4(x + 10) = 4x + 40

Front

Distributive Property

Back

Identity

Front

Result gives you the original number back. Addition: a + 0 = a Multiplication: a * 1 = a

Back

6 + 0 = 6

Front

Identity Property of Addition

Back

7 - 4 = -4 + 7

Front

Commutative Property of Addition

Back

9 * (1/9) = 1

Front

Inverse Property of Multiplication

Back

Inverse

Front

Cancels a numbers out Addition: a + (-a) = 0 Multiplication: a*(1/a) = 1

Back

5 + (-5) = 0

Front

Inverse Property of Addition

Back

x(y + z) = xy + xz

Front

Distributive Property

Back

3 * 1 = 3

Front

Identity Property of Multiplication

Back

9 + (1 + 2) = (9 + 1) + 2

Front

Associative Property of Addition

Back

74 = 47

Front

Commutative Property of Multiplication

Back