Simplify x⁷/x³ for nonzero x.
Answer & explanation
Learn: Powers, roots and equivalent formsx⁴.
All examsCLEP College AlgebraFoundation path
View coverage CLEP College Algebra Flashcards & Study Review
Read 12 sample cards from the 80-card CLEP College Algebra foundation collection. Try recalling each answer before checking the explanation.
Version 2026-10-27 · Original foundation materials · No sign-up
What this collection covers
College Algebra foundations.
The cards preview selected ideas; they do not measure readiness for the whole examination. Your personal review schedule is available in the review tool.
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.
Sample flashcards, with answers
Solve (2x−1)/3=5.
Answer & explanation
Learn: Linear equations, systems and boundariesx=8.
f(x)=2x+1, g(x)=x². Find f(g(3)).
Answer & explanation
Learn: Functions, composition and inverse inputs19.
What is i²?
Answer & explanation
Learn: Complex numbers without losing the sign−1.
Coefficient of x in (x + 2)(x + 5)?
Answer & explanation
Learn: Read and combine polynomial structure7.
Root sum for 2x²−8x+3=0?
Answer & explanation
Learn: Quadratic equations and discriminants4.
Vertex of y=(x+2)²−3?
Answer & explanation
Learn: Transformations and graph features(−2, −3).
First term 4, arithmetic difference 3: fifth term?
Answer & explanation
Learn: Sequences, factorials and binomial choices16.
Factor x² − 25.
Answer & explanation
Learn: Factor to expose a useful feature(x − 5)(x + 5).
Solve |x−3|=2.
Answer & explanation
Learn: Absolute value as a distancex=1 or x=5.
What is log₃(27)?
Answer & explanation
Learn: Exponential and logarithmic relationships3.
What is (2+i)(2−i)?
Answer & explanation
Learn: Complex division and nonreal roots5.
Use the cards as a recall routine
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Sources and preparation route
These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.