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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 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 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 Equation Mathematical statement showing everything on one side of an equal sign (=) is 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 Examples Coefficient 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 5 +x= 7 5 + (2) = 7 when x = 2 Solve To work out a problem leading to the 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