algebra 1

Variable

A symbol, usually a letter (e.g., x, y), that represents an unknown numerical value in an expression or equation.

Constant

A fixed numerical quantity that does not change.

Algebraic Expression

A combination of variables, constants, and mathematical operations that does not contain an equality sign.

Monomial

An algebraic expression with only one term.

Binomial

An algebraic expression with two terms.

Trinomial

An algebraic expression with three terms.

Algebraic Equation

A mathematical statement that shows two expressions are equal and contains an equality sign.

Order of Operations

A set of rules (PEMDAS/BODMAS) that dictates the sequence in which operations should be performed.

Addition Property of Equality

If a = b, then a + c = b + c.

Subtraction Property of Equality

If a = b, then a - c = b - c.

Multiplication Property of Equality

If a = b, then a × c = b × c (where c ≠ 0).

Division Property of Equality

If a = b, then a/c = b/c (where c ≠ 0).

Exponents

Indicate the number of times a base number is multiplied by itself.

Basic Operations

Addition, subtraction, multiplication, and division used in algebra to manipulate expressions and equations.

Solving Equations

The process of finding the values of the variable(s) that satisfy an equation.