Alg. 2 Honors Midterm Exam. 2024-25

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the definition of polynomial factorization?

Back

Polynomial factorization is the process of breaking down a polynomial into simpler polynomials that, when multiplied together, give the original polynomial.

Front

What is the difference of squares?

Back

The difference of squares is a special factorization pattern: a^2 - b^2 = (a - b)(a + b).

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What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

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What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

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What is the process for solving absolute value equations?

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To solve, set the expression inside the absolute value equal to both the positive and negative values of the other side of the equation.

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What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

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What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the significance of the degree of a polynomial?

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The degree of a polynomial indicates the highest power of the variable and determines the polynomial's end behavior and number of roots.