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Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean. Vocab words 1. 2. 3. 4. 5. 6. 7. Associative Property 8. Commutative 9. Property 10. Solution Solve 11. Inequality 12. Variable Term Equation Algebraic Expression Numerical Expression Distributive Property Coefficient Associative Property (Grouping)- Changing the grouping of the numbers does not change the sum or product Examples: 1) (2 x 3) x 4 = 24 which is equivalent to 2 x (3 x 4) =24 2) 10 x ( 3 x 4) which is equivalent to (10 x 3) x 4 Distributive property 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. 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 3 + 7 = 10 25 x 4 = which is equivalent to 4 x 25 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 4 + 20 – 7 (2 + 3) – 7 (6 × 2) ÷ 20 5 ÷ (20 × 3) Algebraic Expression an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations. Examples 1. 2x + 9 2. 3x -7 3. 3𝑎 2 − 5 𝑏 2 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 Term In Algebra a term is either: * a single number, or * a variable, or * numbers and variables multiplied together. 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 Coefficient A number used to multiply a variable The numerical part of an algebraic term Examples Inequality Two values are not equal Example a ≠b says that a is NOT equal to b 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 =5 X =3 Solve To work out a correct solution Homework #12 Finish your definition on the vocab sheet Make flash cards One side has definition and your own example Do NOT write the word with the definition The other side has only the word Must be use clear handwriting