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Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.

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Associative Property (Grouping)- Changing the grouping of the numbers does not change the sum or product Examples: (2 x 3) x 4 = 24 which is equivalent to 2 x (3 x 4) =24 10 x ( 3 x 4) which is equivalent to (10 x 3) x 4

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**Distributive property**

Distributive Property Example: Example: 5(6 + 8) = (5 × 6) + (5 × 8) a × (b + c) = (a × b) + (a × c) and a × (b – c) = (a × b) – (a × c), where a, b, and c stand for any real numbers. The product of a number and the sum of two numbers is the same as the sum of the number multiplied by each of the other numbers.

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Commutative Property (Order Property) Changing the order of the addends or factors does not change the sum or product. Examples 7 + 3 = 10 which is equivalent to = 10 25 x 4 = which is equivalent to 4 x 25

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Numerical Expression The term “numerical” means “involving numbers” and the term “expression” means “phrase”. A numerical expression is a mathematical phrase involving only numbers and one or more operational symbols. Examples – 7 (2 + 3) – 7 (6 × 2) ÷ 20 5 ÷ (20 × 3)

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Algebraic Expression An algebraic expression is an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations. Examples 2x + 9 3x -7 3 𝑎 2 −5 𝑏 2

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**Equation Two things are the same using mathematical symbols.**

Everything on one side of an equal sign (=) have to be equal to everything on the other side. Examples 8 + 4 = 12 4 x 5 = 20 7 +10 – 5 = 12

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Term In Algebra a term is either: * a single number, or * a variable, or * numbers and variables multiplied together.

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Variable is a symbol for a number we don't know yet. It is usually a letter like x or y, however it can be represented by any letter. Examples x + 3 3x – y

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Coefficient A number used to multiply a variable The numerical part of an algebraic term Examples

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**Inequality Two values are not equal Example**

a ≠b says that a is NOT equal to b

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Solve To work out a correct solution

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Solution In an equation, it is an answer that can be substituted for a variable that makes the equation true. Example 5x + 3= 12 - 3 = +3 5x = 15 = 5 X = 3

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