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CLEP College Algebra Practice Worksheets & Answer Key

Download an 8-question CLEP College Algebra worksheet with a separate answer and explanation section. The selected text questions work without a screen or an account.

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Version 2026-10-27 · Original foundation materials · No sign-up

What this collection covers

College Algebra foundations.

This fixed sample includes one question per selected skill before additional families. Questions requiring a separate diagram are excluded from this text worksheet. It is an untimed study resource with working space, rather than an official mock examination.

Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.

Inside the printable worksheet

8 original questionsSeparate explanationsUS Letter · PDF · Version 2026-10-27

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Questions included in this PDF

QUESTION 1 · Powers, roots and equivalent forms

For x ≠ 0, x^9/x^5 = x^k. What is k?

  1. 45
  2. 9/5
  3. 4
  4. 9
Read the answer and explanation

Answer: 4

  1. The bases are equal, so subtract exponents in the quotient.
  2. The nonzero restriction belongs to the original denominator.
  3. The requested value is 4. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 2 · Linear equations, systems and boundaries

Solve (2x − 3)/3 = 6. What is x?

  1. 15/2
  2. 7/2
  3. 21/2
  4. 21
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Answer: 21/2

  1. Multiply both sides by 3.
  2. Add the subtracted constant before dividing by the coefficient of x.
  3. The requested value is 21/2. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 3 · Functions, composition and inverse inputs

Over the real numbers, what is the smallest allowed x for f(x) = √(2x − 12)?

  1. 12
  2. -6
  3. 6
  4. 3
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Answer: 6

  1. An even-root radicand must be nonnegative.
  2. Solve 2x minus the constant greater than or equal to zero.
  3. The requested value is 6. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 4 · Complex numbers without losing the sign

What is the real part of (6 + 3i)(2 − i)?

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Answer: 15

  1. Multiply the real terms and the two imaginary terms.
  2. Since i² = −1, the product of 3i and −i contributes positive 3 to the real part.
  3. The requested value is 15. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 5 · Read and combine polynomial structure

In the expansion of (x + 8)(x + 11), what is the coefficient of x?

  1. 19
  2. 11
  3. 1
  4. 8
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Answer: 19

  1. The x terms come from the two cross products.
  2. Add their coefficients while keeping the x² and constant terms separate.
  3. The requested value is 19. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 6 · Quadratic equations and discriminants

What is the sum of the roots of 3x² − 21x + 3 = 0?

  1. 7
  2. -7
  3. 7/3
  4. 1
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Answer: 7

  1. For ax² + bx + c = 0, the root sum is −b/a.
  2. Use the signed coefficient b rather than only its magnitude.
  3. The requested value is 7. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 7 · Transformations and graph features

The function y = 2(x + 5)² − 5 has its vertex at (h,k). What is h?

  1. 0
  2. 45
  3. -5
  4. 5
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Answer: -5

  1. The inner expression equals zero at the vertex.
  2. Solve x plus the constant equal to zero; the positive sign inside indicates a left shift.
  3. The requested value is -5. Substitute or reverse the operation to check this result.
Review the lesson
QUESTION 8 · Sequences, factorials and binomial choices

An arithmetic sequence starts at 7 and has common difference 4. What is term 9?

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Answer: 39

  1. Count one fewer step than the term number.
  2. Add that many common differences to the first term.
  3. The requested value is 39. Substitute or reverse the operation to check this result.
Review the lesson

Sources and preparation route

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