Algebra Terms

Additive Inverse

The number that when added to the given number results in the additive identity 0. The additive inverse of x is -x, as x + (-x) = 0.

Algebraic Expressions

An expression that contains one or more terms and operations to combine them. Each term contains variable(s), constant(s), or a product of variables and
constants.

Binomial

A polynomial with two terms.

Coefficient

An expression that contains one or more terms and operations
to combine them. Each term contains variable(s), constant(s), or a product of variables and
constants.

Constant

A value that does not change. Stay gold, Ponyconstant!

Descending Order

Arranging from high to low in value.

Degree Of A Polynomial

The exponent of a term. The highest degree is the degree of a polynomial.

Dependent Variables

A variable in a function that changes due to the independent variable.

Distributive Property

Multiplication of numbers distributes over addition and subtraction, a (b ± c) = ab ± ac.

Equations

An expression that states the equation of two algebraic expressions.

Equivalent Equations

Two different pairs of equations that have the same solution(s).

Factoring

Breaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression.

Greatest Common Factor

The largest positive integer that evenly divides (with 0 remainder) two or more nonzero numbers. It is also known as the greatest common divisor or highest common factor. For example, the gcf of 18 and 24 is 6.

Independent Variables

Variables in a function that assume values freely or independently.

Inequality

A relation between two unequal algebraic expressions using the symbols <, >, ≤, and ≥.

Irrational

Any real number that cannot be expressed as a fraction \frac{p}{q}, q ≠ 0. Irrational numbers do not have a finite or repeating decimal representation. For example \sqrt{2}, π, and e are irrational numbers.

Like Terms

Two terms that have the same variables raised to the same exponent. Like terms may have different coefficients.

Monomial

A polynomial with one term.

Multivariable Polynomials

Polynomial with more than one variable.

Polynomial

An algebraic expression constructed from variables and constants using addition, subtraction, multiplication, and positive integer exponents.

Quadratic Polynomials

A polynomial of degree 2.

Solution

The value(s) of variable(s) that satisfy an equation or inequality.

Trinomial

A polynomial with three terms.

Variable

A value that changes. Variables are commonly represented by the letters xem>, y or z.