Advanced Algebra I - Exam 1 Vocabulary

Vocabulary flashcards covering core algebra terms and operation language from the Unit 1 teacher materials for Advanced Algebra I.

Variable

A letter or symbol used to represent an unknown.

Expression

A mathematical phrase made of numbers, variables, and operations; it has no equals sign.

Equation

A statement that two mathematical expressions are equal; it has an equals sign.

Like Terms

Terms with exactly the same variables raised to the same powers.

Coefficient

The number multiplied by a variable.

Constant

A fixed number with no variable.

Distributive Property

Multiplying the factor outside parentheses by every term inside the parentheses.

Sum

The result of addition; in verbal expressions, 'sum' signals addition.

Difference

The result of subtraction; in verbal expressions, 'difference' signals subtraction.

Product

The result of multiplication; 'product of' signals multiplication.

Quotient

The result of division; 'quotient of' signals division.

Increased By

A verbal phrase indicating addition.

Decreased By

A verbal phrase indicating subtraction in the order stated.

Less Than

A subtraction phrase in which the order is reversed.

Percent

A ratio out of $100$; convert to decimal when used as a coefficient.

Reciprocal

A fraction with numerator and denominator switched; used when dividing by a fraction.

Perimeter

The total distance around a figure.

Literal Equation

An equation containing two or more variables that can be rearranged to solve for a specified variable.

Absolute Value

The distance a number is from zero.

Solution

A value that makes an equation true.

No Solution

An equation has no solution when simplification produces a false statement.

All Real Numbers

Every real number is a solution when simplification produces an identity/true statement.

Variable on Both Sides

An equation in which the same variable appears on both sides of the equals sign.

Original Price

The price before a sale, discount, or coupon is applied.

Discount Rate

The portion or percent by which an original price is reduced.