Algebra Word Problems Practice Test
20 varied algebra word problems with equations and worked explanations.
Build and solve equations from rates, mixtures, geometry, percentages, work, growth, and everyday models.
20 varied algebra word problems with equations and worked explanations.
This test focuses on constructing and solving algebraic models from realistic situations. The questions use linear equations, systems, quadratics, proportions, exponential growth, work rates, mixture equations, and distance relationships.
The contexts and structures change throughout the test. Students must decide whether a problem needs a one-variable equation, a system, a rate equation, a quadratic model, or an exponential expression before carrying out the algebra.
The test covers fixed and variable costs, distance-rate-time, perimeter and area, percent change, dilution, consecutive integers, ticket revenue systems, current and boat speed, combined work, age relationships, compound growth, averages, mixtures, catch-up problems, commissions, and right triangles.
Frequent mistakes include mixing rates with times, applying percent to the wrong base, adding work times instead of work rates, choosing a negative geometric dimension, reversing age relationships, and forgetting fixed charges or starting amounts.
Use the test for Algebra 1 and Algebra 2 modeling practice, ACT preparation, classroom assignments, or independent review. No registration is required.