Unit 3 VocabularyEXPRESSIONS

Algebraic Expression

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols

Algebraic expressions do not contain equal signs

Examples: 6x + 7, + 1

Arithmetic Expression

An expression that represents a numeric value.

Example: 3 + 5 = 8

Associative Property Associative property of addition (a +

b) + c = a + (b + c) Associative property of multiplication (a × b) × c = a × (b × c)

Base

(of a power): The factor being multiplied by itself. Base → 3⁴

Coefficient The number part of a term that

includes a variable.

Commutative Property

Commutative property of addition: a + b = b + a • Commutative property of multiplication :a × b = b × a

Evaluate

To find the value of an expression by replacing each variable in an expression with numbers.

Evaluate an Algebraic Expression

To find the value of an expression by replacing each variable in an expression with numbers.

Exponent

The number of times a number or expression (called base) is used as a factor of repeated multiplication. Also called the power.

Expression

An expression is a mathematical phrase containing numbers and operation symbols.

Example: 2x + 5y, 3 + 4

Like Terms

Terms that have identical variable parts. Two or more constant terms are also considered like terms.

Numerical Expression

An expression that contains only numbers and operations and that represents a particular value.

Power

A number that can be expressed using an exponent.

Ratio

A comparison of two quantities that have the same unit of measure.

Substitute

To replace one element of a mathematical equation or expression with another.

Term

A number, a variable, or a product of numbers and variables.

Examples:5e, m, 8x, 3ab, and -9r2s are all terms

Tangram

An ancient Chinese square puzzle consisting of seven pieces that can be rearranged to make various shapes.

Table

A means of organizing data in rows and columns for a particular purpose.

A letter or symbol used to represent a number or quantities that vary

Variable