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CLEP College Algebra: Exam Prep & Study Path

Connect expressions, functions and graphs through original college-algebra practice and illustrated explanations.

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Algebraic operations

Powers, roots and equivalent forms

Exponent notation records repeated multiplication, and its rules depend on the operation connecting the terms. A product, a quotient and a power of a power are different structures.

10 min lesson + practice
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Illustrated guides and sources.

4 domains. One connected path.

Start with the foundations, then build connections.

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Algebraic operations

7 lessons · 128 questions

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Equations & inequalities

6 lessons · 96 questions

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Functions & properties

7 lessons · 112 questions

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Number systems & operations

4 lessons · 64 questions

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Original diagram: Logarithms: ask for the exponent. VIDEO → ARTICLE
The Organic Chemistry Tutor · 10 min read

Logarithms: ask for the exponent.

Keep the base, argument and domain distinct before applying a shortcut.

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Original diagram: Factors, roots and forbidden inputs. VIDEO → ARTICLE
The Organic Chemistry Tutor · 10 min read

Factors, roots and forbidden inputs.

A canceled factor can hide a restriction. Learn to keep the domain attached.

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Original diagram: An inverse needs a domain, not just a formula VIDEO → ARTICLE
The Organic Chemistry Tutor · 12 min read

An inverse needs a domain, not just a formula

Reverse the pairing, choose the correct branch, and verify the restrictions.

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Original diagram: Signs first. Intervals second. VIDEO → ARTICLE
The Organic Chemistry Tutor · 12 min read

Signs first. Intervals second.

Locate boundaries, test each region, and explain which endpoints belong.

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A focused foundation pilot. 400 original question variants across 96 families. This is a starting set, not complete CLEP College Algebra coverage. Explore the coverage map and gaps. Difficulty labels are uncalibrated editorial estimates; independent educator review is pending.