Unit 4 Vocabulary Properties of Algebraic Notation

Unit 4 VocabularyProperties of Algebraic Notation

Expression• One or more numbers, variables, or numbers and variables with

one or more operations.

a + 1

a - b

3x

10 - 8/ 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.

Prime number

•Any number whose only factors are 1 and itself.

Ex. 2, 13, 17

Composite Number

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

Factors

•Two or more numbers that can be multiplied together to make a product.

4 x 3 =12