ACCUPLACER AAF study plan
ACCUPLACER AAF · Give each week a clear focus.
8 weeks · About 6 hours per week
Linear equations and inequalities
Solve multi-step linear equations with variables on both sides, including those with fractions and decimals
Rearrange literal equations to isolate a specified variable
Solve and graph single-variable inequalities, flipping the inequality sign when multiplying or dividing by a negative
Express solution sets in interval notation and on a number line
Your checkpoint
A 25-problem self-made worksheet on linear equations and inequalities, scored and corrected, with every missed item rewritten and re-solved correctly
Linear equations and inequalities & Linear applications and graphs
Solve compound inequalities (and/or) and absolute-value equations and inequalities
Write the equation of a line from slope and a point, from two points, and from a graph
Identify slope, intercepts, and parallel/perpendicular relationships from equations
Translate a word problem into a linear model and interpret the slope and intercept in context
Your checkpoint
A one-page summary sheet of linear forms (slope-intercept, point-slope, standard) with two worked application word problems and their graphs
Linear applications and graphs & Factoring and quadratics
Graph linear systems and classify as one solution, none, or infinitely many
Solve systems by substitution and by elimination
Factor quadratics by greatest common factor, difference of squares, and trinomial methods
Solve quadratic equations by factoring and apply the zero-product property
Your checkpoint
A timed 20-question set covering systems and factoring, completed in 40 minutes, with a written error log of each mistake and its cause
Factoring and quadratics
Solve quadratics by completing the square and by the quadratic formula
Use the discriminant to predict the number and type of solutions
Convert between standard and vertex forms of a quadratic
Solve quadratic application problems involving area, projectile motion, and optimization
Your checkpoint
A full-length practice half-test on domains 1-3 (about 20 questions) completed under time, with a scored report identifying the two weakest subskills
Rational expressions and equations & Radical expressions and equations
Simplify rational expressions and state excluded values
Add, subtract, multiply, and divide rational expressions
Solve rational equations and check for extraneous solutions
Simplify radical expressions and rationalize denominators
Solve radical equations and verify solutions
Your checkpoint
A two-column reference card: left column the rational-expression rules, right column the radical rules, each with one worked example, plus a 15-question mixed quiz scored
Radical expressions and equations & Polynomial functions and graphs
Convert between radical and rational-exponent notation and apply exponent rules
Perform operations on polynomial expressions and identify degree and leading coefficient
Sketch polynomial graphs using end behavior, zeros, and multiplicity
Divide polynomials using synthetic division and apply the remainder and factor theorems
Your checkpoint
Five hand-sketched polynomial graphs with written justification for end behavior and each zero, checked against a graphing tool and corrected
Exponential and logarithmic functions
Evaluate and graph exponential functions and identify growth versus decay
Convert between exponential and logarithmic form and apply log properties
Solve exponential and logarithmic equations
Solve applied growth, decay, and compound-interest problems
Your checkpoint
A 20-question exponential and logarithm quiz completed under time, with a corrected version submitted showing full work for every item
Trigonometric functions & Linear equations and inequalities & Factoring and quadratics & Exponential and logarithmic functions
Convert between degrees and radians and use the unit circle to evaluate trig functions
Graph sine and cosine and identify amplitude, period, and phase shift
Solve right-triangle and basic trig identity problems
Review the highest-miss domains from earlier weeks with targeted drills
Complete a full timed practice test under exam conditions
Your checkpoint
One full-length timed practice test (all 8 domains) with a scored breakdown by domain and a final one-page formula sheet written from memory
Milestones
Week 2: Score at least 80% on a self-made 15-question linear equations and inequalities quiz without notes; if below, redo week 1 drills before moving on
Week 4: Score at least 75% on the domains 1-3 half-test and correctly solve 8 of 10 quadratic problems by both factoring and the quadratic formula
Week 6: Correctly simplify 10 of 12 rational and radical expressions and solve 4 of 5 radical equations with extraneous-solution checks shown
Week 8: Score at least 80% overall on the full-length practice test with no single domain below 70%, and reproduce the formula sheet from memory with 90% accuracy