Properties of Algebraic Notation

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Properties of Algebraic Notation
Unit 4 Vocabulary Properties of Algebraic Notation

Expression One or more numbers, variables, or numbers and variables with one or more operations. a + 1 a - b 3x / b

Equation A statement that two expressions are equal. It has an equal sign. X + 2 = 6

Term a number, variable, product, or quotient in an expression. Each term is separated by an operation sign.

Simplify To combine like terms and perform operations until all terms have been combined.

Identity Property The product of 1 and any number equals that number.

Distributive Property
You can multiply a sum by a number, or multiply each addend by the number and ad the products, to get the same result.

Commutative Property Changing the order of the addends/factors does not change the sum/product. (Only works for addition and multiplication)

Associative Property Grouping the addends/factors in different ways does not change the sum/product. (Only works for addition and multiplication)

Order of Operations: When more than one operation is present.
Remember: PEMDAS (Please Excuse My Dear Aunt Sally) Parenthesis Exponents Multiply Divide Add Subtract Operations inside parenthesis are performed first. Then multiply and divide from left to right. Then add and subtract from left to right.

Any number whose only factors are 1 and itself.
Prime number Any number whose only factors are 1 and itself. Ex. 2, 13, 17

A whole number that has more than two factors.
Composite Number A whole number that has more than two factors. Ex. 4, 8, 81

Two or more numbers that can be multiplied together to make a product.
Factors Two or more numbers that can be multiplied together to make a product. 4 x 3 =12