High School Algebra Test — School Subjects: Equations, Functions & Problem Solving
Tests algebraic equations, functions, and problem-solving skills.
Prepare for success with the High School Algebra Test from the School Subjects category. This comprehensive quiz is designed to evaluate and improve your grasp of algebraic equations, functions, graph interpretation, factoring, inequalities, and word-problem strategies. Whether you are reviewing for a class exam, preparing for standardized tests, or strengthening foundational math skills, this algebra assessment targets core topics and problem-solving techniques that matter.
Each question in this High School Algebra Test focuses on practical algebra skills: solving linear and quadratic equations, analyzing functions, manipulating exponents, and applying algebra to real-world scenarios. By taking this test you'll receive an objective score, clear feedback, and actionable recommendations to help you progress. Ideal for students, tutors, and educators seeking targeted practice and measurable improvement in algebra and related math competencies.
Solve the linear equation: 3x + 5 = 20. What is x?
Basic linear equation solving and algebraic manipulation.
Find the roots of the quadratic equation x^2 - 5x + 6 = 0.
Recognize factoring patterns to solve quadratics.
Given f(x) = 2x^2 - x, what is f(3)?
Evaluate polynomial functions at a given input.
What is the slope of the line passing through the points (1, 2) and (4, 8)?
Slope is the rate of change between two points on a line.
Solve the system: 2x + y = 7 and x - y = 1. What is x?
Use substitution or elimination to solve linear systems.
Factor the expression x^2 - 9.
Recognize and apply the difference of squares formula.
Solve the inequality: 2x - 3 < 7. Which is the correct solution set?
Isolate the variable and remember to flip inequality when multiplying by negative.
Simplify the expression: (x^3)(x^2).
Apply exponent rules for multiplying like bases.
For the quadratic equation x^2 - 4x + 3 = 0, what does the discriminant indicate?
Use discriminant b^2 - 4ac to determine root types.
A value is increased by 20% and then decreased by 20%. What is the net change?
Apply percent increase and decrease multiplicatively to find net effect.
Frequently asked questions
Your score is the sum of the values assigned to each option you selected. Each question option carries a numeric value (positive for correct, zero for partial, negative for incorrect), and the results function sums these values to produce a final numeric score.
Typically a score in the Advanced range (for this test, 15 to 20) suggests strong readiness for higher-level coursework. Use your detailed question results to confirm mastery across key topics like quadratics, functions, and systems.
Yes. Retaking the test after targeted practice is encouraged. Compare scores across attempts to measure improvement and focus study on questions where you selected lower-value options.
Focus first on linear equations, factoring, function evaluation, and exponent rules. Use step-by-step practice problems, instructional videos, and targeted worksheets. Seek help from a teacher or tutor for persistent difficulties.
This quiz measures conceptual understanding and problem-solving. For most items, mental math or simple calculations suffice, but using a basic scientific calculator is acceptable if you want to simulate an open-book study session. When preparing for timed exams, practice both with and without a calculator as required.
Teachers can use the quiz for diagnostics, to identify class-wide weaknesses, generate focused lesson plans, and assign targeted practice. The question-level feedback helps prioritize topics for reviews or small-group instruction.
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