Track your completion across all 66 topic-specific drills
Multi-step calculations, order of operations (PEMDAS), large number arithmetic, and estimation — exactly as tested on the ACT.
Add, subtract, multiply, and divide fractions; convert mixed numbers; compare fractions; and solve fraction word problems in ACT format.
Decimal operations, place value, rounding, converting between decimals and fractions, and real-world decimal applications for ACT.
Percent of a number, percent increase/decrease, converting between percents/decimals/fractions, and real-world percent problems.
Set up and solve proportions, unit rates, scale drawings, similar figures, and unit conversions — all in ACT multiple-choice format.
Operations with positive and negative integers, absolute value, number line problems, and integer word problems for ACT.
Prime factorization, GCF, LCM, prime vs. composite numbers, divisibility rules, and number theory problems in ACT format.
Commutative, associative, and distributive properties; even/odd rules; identity and inverse properties — applied in ACT-style problems.
Simple and compound probability, independent events, probability with/without replacement, and probability word problems for ACT.
Mean, median, mode, range, reading bar graphs, line graphs, pie charts, and scatter plots — all in ACT multiple-choice format.
Substitute values into algebraic expressions and formulas, evaluate with negative numbers and exponents, in ACT format.
Translate verbal descriptions into algebraic equations — sums, differences, products, consecutive integers, and real-world scenarios.
Solve multi-step linear equations with distributive property, combining like terms, fractions, and decimals — ACT style.
Solve absolute value equations with one and two solutions, set up two-case equations, and apply to real-world contexts.
Solve one-variable and compound inequalities, reverse inequality sign rules, and graph solutions on a number line.
Slope, y-intercept, slope-intercept form, standard form, x/y intercepts, parallel and perpendicular lines — ACT format.
Solve systems by substitution and elimination; identify no solution, one solution, or infinitely many solutions.
Add and subtract polynomials, multiply using FOIL and distributive property, expand binomials and trinomials.
Factor using GCF, trinomials, difference of squares, perfect square trinomials, and factoring by grouping.
Solve quadratics by factoring, square roots, and the quadratic formula; use the discriminant to determine solution types.
Apply the quadratic formula to any quadratic; use the discriminant to classify solutions as real, repeated, or complex.
Simplify radicals, add/subtract/multiply radicals, rationalize denominators, and work with cube roots.
Simplify, multiply, divide, add, and subtract rational expressions; identify domain restrictions.
Add, subtract, multiply, and divide complex numbers; simplify powers of i; find conjugates.
Evaluate functions, find domain and range, compose functions, and solve for x given f(x) — all in ACT format.
Add, subtract, and multiply matrices; scalar multiplication; identify dimensions and elements.
Arithmetic and geometric sequences, find nth terms, calculate partial sums, and identify common differences and ratios.
Evaluate logarithms, apply log properties (product, quotient, power rules), solve logarithmic equations.
Simplify exponential expressions, apply exponent rules, evaluate exponential functions, and model growth/decay.
Graph linear inequalities, identify solution regions, solve systems of inequalities, and test boundary points.
Find distances on a number line, calculate midpoints in 1D and 2D, and solve for missing endpoints.
Calculate distances between two points using the distance formula; apply to horizontal, vertical, and diagonal segments.
Calculate slope, write equations in slope-intercept and point-slope form, convert between forms, and find intercepts.
Identify parallel and perpendicular lines by slope, write equations of parallel/perpendicular lines through given points.
Find x- and y-intercepts, graph lines using slope and intercept, and identify lines from graphs.
Find vertex, axis of symmetry, direction of opening, and intercepts of parabolas; use vertex form.
Write and interpret circle equations in standard form; find center, radius, and diameter from equations.
Translations, reflections over axes and y=x, rotations, and dilations of points and figures on the coordinate plane.
Graph linear inequalities, determine solid vs. dashed boundaries, shade correct regions, and test solution points.
Identify circles, ellipses, parabolas, and hyperbolas from equations; find key features of each conic section.
Complementary, supplementary, vertical, and corresponding angles; parallel lines cut by a transversal; angle equations.
Triangle area and perimeter, angle sum, isosceles and equilateral triangles, exterior angles, and triangle classification.
Apply the Pythagorean theorem to find missing sides; recognize Pythagorean triples; solve real-world right triangle problems.
Scale factors, proportional sides, congruence criteria (SSS, SAS, ASA), similarity criteria (AA, SAS, SSS), and area ratios.
Area and perimeter of rectangles, squares, parallelograms, trapezoids, and rhombuses; angle properties of quadrilaterals.
Circumference, area, arc length, sector area, central angles, inscribed angles, and concentric circles.
Volume and surface area of prisms, cylinders, spheres, cones, and pyramids; find missing dimensions.
Find area and volume of composite shapes by adding or subtracting basic figures; multi-step geometry problems.
Use distance, midpoint, and slope formulas to classify quadrilaterals, prove parallelism, and verify geometric properties.
Apply definitions, postulates, and theorems to draw conclusions; identify congruent/similar figures; multi-step reasoning.
Apply sine, cosine, and tangent ratios to find missing sides and angles in right triangles — ACT format.
Exact values for 30°, 45°, 60°; reciprocal functions (csc, sec, cot); cofunction identities and special angle patterns.
Find all missing sides and angles of right triangles using trig ratios, inverse trig, and the Pythagorean theorem.
Apply the Law of Sines to non-right triangles (AAS, ASA, SSA); find missing sides and angles.
Apply the Law of Cosines to find missing sides (SAS) and angles (SSS) in non-right triangles.
Coordinates on the unit circle, trig values at key angles (0°–360°), quadrant sign patterns, and reference angles.
Pythagorean identities, reciprocal identities, quotient identities, cofunction identities, and even-odd identities.
Amplitude, period, phase shift, and vertical shift of sine, cosine, and tangent graphs; match equations to graphs.
Evaluate arcsin, arccos, and arctan; find angles from ratios; apply inverse trig to solve right triangle problems.
Angle of elevation/depression, height and distance problems, navigation, and real-world trig applications.
Comprehensive review of all Pre-Algebra topics: whole numbers, fractions, decimals, percents, ratios, integers, probability, and data.
Complete review of all Elementary Algebra topics: equations, inequalities, systems, polynomials, factoring, and quadratics.
Full review of Intermediate Algebra: quadratic formula, radicals, rational expressions, complex numbers, functions, matrices, sequences, logs, and exponentials.
Complete review of Coordinate Geometry: distance, midpoint, slope, lines, parabolas, circles, transformations, inequalities, and conics.
Full review of Plane Geometry: angles, triangles, Pythagorean theorem, similarity, quadrilaterals, circles, 3D solids, and composite figures.
Complete review of all Trig topics: SOH-CAH-TOA, special values, solving triangles, Law of Sines/Cosines, unit circle, identities, and graphing.