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Algebra II (MATH-203) – Midterm Review – 74 Terms – Quadratics, Factoring, Functions – High School Curriculum

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This document offers a comprehensive midterm vocabulary review for Algebra II (MATH-203), covering 74 essential terms that form the foundation of second-year high school algebra. The content focuses on core topics such as quadratic functions (in standard, vertex, and intercept forms), various factoring techniques (including difference of squares, trinomial factoring, and sum/difference of cubes), complex and imaginary numbers, and key graphing concepts like slope, domain, and range. Each term is clearly defined with examples where relevant, making it easy to review and memorize crucial concepts. This resource is suitable for students preparing for midterm exams and seeking clarity on Algebra II terminology. It is especially useful for: Students in Honors or Advanced Algebra II Learners enrolled in Pre-Calculus foundation courses Participants in SAT/ACT prep or other standardized test programs High schoolers in STEM-focused academic tracks Homeschool students needing structured review material Designed for alignment with U.S. high school curricula, this vocabulary guide enhances exam readiness and reinforces algebraic understanding in a concise, accessible format. Keywords: quadratic function, vertex form, standard form, intercept form, completing the square, axis of symmetry, factoring, difference of squares, difference of cubes, trinomial factoring, complex numbers, imaginary numbers, rational numbers, irrational numbers, linear equations, functions, vertical line test, slope, domain, range, ordered pair, polynomial, monomial, binomial, trinomial, discriminant, real numbers, rationalizing the denominator, graphing calculator, maximum, minimum, parabola, quadratic formula, root of equation, synthetic division, coefficient, constant term, leading coefficient, opposites, reciprocals, similar terms, inequality

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Uploaded on
January 19, 2026
Number of pages
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Written in
2025/2026
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Alg II H - Midterm Vocab - Timmreck


Axis of Symmetry - 🧠 ANSWER ✔✔For a quadratic function the axis of

symmetry is a vertical line that passes through the vertex of a parabola.

From standard form the axis of symmetry can be found using the formula




x= -b/2a

From vertex form - the axis of symmetry is




x=h




From intercept form, the axis of symmetry is half-way between the x-

intercepts at

,x= (p+q)/2


Binomial - 🧠 ANSWER ✔✔A polynomial with two terms.




Example: 12x + 9


Coefficient - 🧠 ANSWER ✔✔a constant quantity placed before and

multiplying the variable in an algebraic expression




example: 5x+7


Completing the Square - 🧠 ANSWER ✔✔A quadratic function




Equation should be in this form

Ax2 +bx = c




And "a"=1

, Take 1/2 of b, square it, add it to both sides

Factor the left side, simplify the right

Take the square root of each side and find the solutions

Complex Number

any number that can be written as a + bi, where a and b are real numbers

and i = √-1


Constant Term - 🧠 ANSWER ✔✔A term that has a number part but no

variable part.




The ___ of the algebraic expression 3x²+ 5x + (-7) is (-7).


Cube Root - 🧠 ANSWER ✔✔A number written as whose cube is x


Degree - 🧠 ANSWER ✔✔Number of times a variable is used to multiply

(exponents).


Difference of Two Cubes - 🧠 ANSWER ✔✔A method of factoring a binomial

(that's using subtraction) when both terms are cubes.




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