Exponent operations
8 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- General irrational exponent approximation and deeper nested radicals remain limited.
All examsCLEP College AlgebraFoundation path
View coverage CLEP College Algebra · COVERAGE & GAPS
CLEP College Algebra: Coverage Map & Learning Gaps
College Algebra foundation pilot
A partial map, not a completion score.
Official College Algebra Knowledge and Skills Required page freshly read 2026-10-26. IDs are local editorial mappings, not official codes. The expansion addresses listed polynomial, rational, absolute-value, power, exponential, logarithmic and piecewise function types; coverage remains partial.
Mapping describes the available practice, not your mastery or readiness for the exam. Reviewed 2026-10-26.
20Objectives in this map
20Have partial practice
0Have no mapped practice
Partial practice
Polynomial expansion and factors
11 linked question families · 51 variants. Variants are not separate syllabus objectives.
What still needs work
- Long division by nonmonic quadratics and general fifth-degree factorization remain limited.
Algebraic expression operations
7 linked question families · 29 variants. Variants are not separate syllabus objectives.
What still needs work
- Fully symbolic nested rational-expression operations remain limited.
Absolute-value expressions
9 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- General piecewise symbolic identities with several absolute values remain limited.
Logarithm properties
6 linked question families · 24 variants. Variants are not separate syllabus objectives.
What still needs work
- General multi-term symbolic condensation and non-exact logarithm estimates remain limited.
Linear equations and inequalities
4 linked question families · 16 variants. Variants are not separate syllabus objectives.
What still needs work
- Solution-set reporting, special cases and nonroutine models remain limited.
Quadratic equations and inequalities
17 linked question families · 68 variants. Variants are not separate syllabus objectives.
What still needs work
- General irrational and complex quadratic-formula cases remain limited.
Absolute-value equations and inequalities
7 linked question families · 28 variants. Variants are not separate syllabus objectives.
What still needs work
- General nonlinear interior expressions beyond squared and linear cases remain limited.
Systems of equations and inequalities
9 linked question families · 36 variants. Variants are not separate syllabus objectives.
What still needs work
- Full feasible-region graph construction and nonlinear systems with unequal curve types remain limited.
Exponential and logarithmic equations
14 linked question families · 56 variants. Variants are not separate syllabus objectives.
What still needs work
- Numerical approximate solutions and equations without elementary exact solutions remain limited.
Function meanings and representations
12 linked question families · 48 variants. Variants are not separate syllabus objectives.
What still needs work
- Verbal construction of varied piecewise models remains limited.
Domain and range
11 linked question families · 44 variants. Variants are not separate syllabus objectives.
What still needs work
- Full interval range proofs and higher-degree rational restrictions remain limited.
Function evaluation
7 linked question families · 29 variants. Variants are not separate syllabus objectives.
What still needs work
- More general power-function and higher-degree evaluation contexts remain limited.
Function combinations
10 linked question families · 40 variants. Variants are not separate syllabus objectives.
What still needs work
- General symbolic combinations with multiple competing restrictions remain limited.
Graph properties and transformations
16 linked question families · 68 variants. Variants are not separate syllabus objectives.
What still needs work
- Curves are sampled or labeled diagrams; open-ended graph construction and higher-degree global analysis remain limited.
Inverse functions
5 linked question families · 20 variants. Variants are not separate syllabus objectives.
What still needs work
- General composition proof of nonlinear inverse identities and decreasing quadratic branches remain limited.
Real-number operations
6 linked question families · 30 variants. Variants are not separate syllabus objectives.
What still needs work
- Formal irrationality and complete number-system classification remain limited.
Complex-number operations
8 linked question families · 32 variants. Variants are not separate syllabus objectives.
What still needs work
- General complex equation solving beyond direct quadratic cases remains limited.
Factorials and binomial structure
6 linked question families · 24 variants. Variants are not separate syllabus objectives.
What still needs work
- General binomial terms and overlapping combinatorial restrictions remain limited.
Supplementary sequence foundations
2 linked question families · 8 variants. Variants are not separate syllabus objectives.
What still needs work
- The official topic list does not explicitly list sequences; these are supplementary practice, not evidence of another official target.
Use the map with care.
- Linkage means a family contributes to an objective, not that it covers it fully.
- No percentage of syllabus coverage is computed.
- Routine/nonroutine balance is not validated and many complex tasks remain absent.
- Parameterized variants do not add independent objectives.
- Educator review and learner calibration remain pending.
PLAN YOUR NEXT STEP
A clear route through the material
Compare the topics included in this foundation path with your exam requirements. Question variants are counted separately from task families; the map makes remaining gaps and review limitations visible.
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Scope: College Algebra foundations