Math · Checkpoint 26 of 30 · All four domains · ~12 min
Math mastery checkpoint
Review all four Math domains and rate your Desmos confidence honestly.
What this is: the Math phase consolidation — one line per domain, two self-checks, then a mixed set of real official questions and an honest reflection. You've completed the TFG lessons; making the skills automatic is what the practice from here does.
The four domains, one line each
Algebra: y = mx + b is a rate and a start; systems are intersections; parallel slopes mean no solution; flip the inequality when dividing by a negative.
Advanced Math: three quadratic forms, three secrets (intercept, roots, vertex); discriminant counts solutions; decay multiplies by what remains; check radical equations for extraneous roots.
Problem-Solving and Data Analysis: percent change over the old base; "given that" restricts the table; outliers drag the mean, not the median; only experiments earn causal claims.
Geometry and Trigonometry: angle-chase with 180s; similar triangles → proportions; a² + b² = c²; circle template (x − h)² + (y − k)² = r²; SOH-CAH-TOA.
Quick self-checks
For what value of c does y = 2x + 3 and y = 2x + c have infinitely many solutions?
Infinitely many solutions requires the same line: same slope and same intercept, so c = 3. Same slope with different intercepts (A's claim) gives parallel lines — zero solutions. Shaky? Revisit Systems & inequalities.
A price rises 20% one year and falls 20% the next. The final price is…
×1.20 then ×0.80 = ×0.96 — down 4%. The second percent acts on a bigger base, so the moves don't cancel. Shaky? Revisit Ratios, rates & percentages.
Three questions, noted in My Study: strongest Math domain? weakest? and Desmos — do you reach for it fluently, or does it still feel foreign? A "foreign" answer means redo the essentials checkpoint inside Bluebook, not just reading. Still stuck on a domain after drilling it? Free tutoring exists exactly for that.
The official library of real SAT Suite questions. You can filter by section (Math or Reading and Writing), by content domain, by specific skill, and by difficulty, then export a custom practice set with answer explanations.
Bluebook is the app you will use on real test day. It includes full-length official adaptive practice tests, test previews, and the same built-in Desmos calculator, timer, annotation, and flagging tools you'll have on the actual SAT.