GED Test Practice/Topics/Math Algebraic Problem Solving

Math Algebraic Problem Solving practice test: free GED Test Practice questions

Math Algebraic Problem Solving covers 51 questions in the QuizCram bank (17% of all questions), ranking as the biggest domain for the GED Test. Questions are written against the official Original multiple-choice practice questions written from the published GED content areas (GED Testing Service, GED Test Curriculum and Notional Learning, 2022). The real test format is Four subject tests (Language Arts, Math, Science, Social Studies) · each scored 100–200 · 145 to pass each. Try the 3 free sample questions below to test your understanding of these core rules.

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Try 3 sample Math Algebraic Problem Solving questions

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  1. Algebraic problem solving1 of 3

    Which expression is equivalent to 3(2x − 5) + 4x?

    The answer

    Answer: B. Use the distributive property first: 3(2x − 5) = 6x − 15. Then combine like terms, 6x + 4x = 10x, which leaves 10x − 15. Forgetting to multiply the −5 by 3 gives 10x − 5, and leaving out the 4x gives 6x − 15. Only terms with the same variable part can be combined.

    Source: GED Math — Algebraic: simplifying expressions

  2. Algebraic problem solving2 of 3

    Solve for x: 3x − 7 = 20.

    The answer

    Answer: C. Undo the subtraction by adding 7 to both sides: 3x = 27. Then divide both sides by 3 to get x = 9. Substituting back, 3 × 9 − 7 = 20, which checks. Subtracting 7 instead of adding it gives 13/3, and stopping before the division leaves 27.

    Source: GED Math — Algebraic: one-variable equations

  3. Algebraic problem solving3 of 3

    What is the slope of the line through (2, 3) and (6, 11)?

    The answer

    Answer: D. Slope is the change in y divided by the change in x. The change in y is 11 − 3 = 8 and the change in x is 6 − 2 = 4, so the slope is 8 ÷ 4 = 2. Inverting the fraction gives 1/2, and 8 is only the rise without dividing by the run.

    Source: GED Math — Algebraic: slope from two points

Quick answers on Math Algebraic Problem Solving

QuizCram covers 51 practice questions in the Math Algebraic Problem Solving domain, mapped directly to the official examination blueprint.

The benchmark score is 70% (Four subject tests (Language Arts, Math, Science, Social Studies) · each scored 100–200 · 145 to pass each).

Yes. All questions on QuizCram are written against official handbooks and blueprint specifications with legal citations.