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# Algebra Terms

## Get down with the lingo

### Conjugate

The result of multiplying a binomial (a + b) by (ab) to obtain a2b2.

### Distributive Property

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

### Equations

An expression that states the equivalence of two algebraic expressions.

### Equivalent Equations

Different equations that have the same solution(s).

### Extraneous Solution

The solution to an equation that is formed in the process of simplifying the original equation (for example, taking the square of a radical equation), but is not a valid solution of the original equation.

### Factoring

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

### Independent Variable

Variable in a function that assumes a value freely or independently.

### Irrational

Any real number that can't 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 with the same variables raised to the same exponent. Like terms may have different coefficients.

### Monomial

A polynomial with one term.

### Multivariable Polynomial

A polynomial with more than one variable.

### Polynomial

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

An equation obtained by setting a quadratic polynomial to zero.

A polynomial of degree two.

An equation with a variable or expression inside a radical.

The symbol of a square root.

### Rationalizing The Denominator

Rewriting the fraction to get rid of the radical in the denominator.

### Square

A number raised to the power of two.

### Square Root

The inverse operation of squaring a number.

### Solution

The value of a variable that satisfies an equation or inequality.

### Trinomial

A polynomial with three terms.

### Variable

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