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Linear equation
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Quadratic expression
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Alg1B Unit 3

Solving Quadratics

TermDefinition
Linear equation An equation that has a variable that is to the first power. In other words, a particular change in the x-direction leads to a directly proportional change in the y-direction.
Quadratic expression Polynomials of the form ax^2+bx+c , where a, b, and c are real numbers, and a is a nonzero number.
Quadratic equation An equation that includes a quadratic expression.
Descending order When terms are written from greatest to least degree.
Leading term The term with the greatest degree.
Degree of a Monomial The sum of the exponents of all of a term's variables.
Degree of a Poylnomial The greatest degree of its terms.
Evaluate Substitute given values for their respective variables and then simplify accordingly.
Order of operations The established sequence in which math is performed from left to right on an expression in order to simplify. Simplify parenthetical operations 1st, exponential terms 2nd, multiplication and division 3rd, and add and subtract last.
Zero Product Property If ab=0, then a=0 or b=0.
Leading term The term with the greatest degree.
Square Root Property If x^2=a, then x=±√a, where a is a number.
Completing the square A method used to change the form of a quadratic equation of the form ax^2+bx+c=0, where a, b, and c are real numbers and a is non-zero, so that the left side of the equation becomes a perfect square trinomial.
Perfect square trinomial A quadratic expression that is the product of a binomial, either (a+b) or (a−b), squared.
Quadratic formula x=−b± √(b^2−4ac) / (2a), where a, b, and c are real numbers and a is non-zero.
Factoring The process of rewriting an expression or polynomial as an equivalent product of two or more factors.
Greatest common factor (GCF) The greatest factor all terms share in common.
Difference of squares A quadratic expression of the form a^2−b^2 that can be factored as (a+b)(a−b).
Quadratic inequality An inequality that contains a quadratic expression.
Created by: schaffermath
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