Start here: 20 questions, about 28 minutes. You see your level in every domain and which lessons to take first. Free, no card. You also get 36 practice questions a day: 9 easy, 9 medium, 9 hard and 9 challenging. See what’s free
×2 ×3Streaks pay. ×2 from three in a row, ×3 from six.
BestYour longest streak. Beat it tomorrow.
Full-length tests
The real test, rehearsed.
98 questions across four modules, in the digital SAT’s order and on its timing, with a highlighter, a question map and a timer you can see.
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The DailySTEP 4
Medium×2♥♥♥40
If 2x − 7 = 11, what is the value of 3x?
A9
B18
C27
Best: 3
1
Play the Daily.
A quick run with three hearts. String right answers together and the questions get harder and the points multiply.
Expression of IdeasTransitions
Jazz pianist Mary Lou Williams composed hundreds of works. ______ she wrote arrangements for bands led by Duke Ellington and Benny Goodman.
AHowever,Your pick
BIn addition,Correct
Why: the second sentence adds another accomplishment. Nothing is being contrasted.
2
Miss one, learn why.
Every question is tagged by domain and skill, and every answer comes with an explanation.
Practice
TransitionsHardIncorrect10 questions
Transitions40%
Boundaries78%
Inferences85%
Example accuracy by skill
3
Drill that skill.
Practice any single skill at any difficulty, or just the questions you got wrong.
Daily scoreEXAMPLE WEEK
709080110120140
New best: 140
4
Beat your best.
Come back tomorrow and climb. Progress shows your accuracy and your strongest skills.
Built around the real SAT blueprint.
Every question is tagged by section, domain, skill and difficulty, so you can practice exactly what you need. Full tests run like test day: two Reading & Writing modules, a break, then two Math modules.
The Daily, plus 36 practice questions every day: 9 easy, 9 medium, 9 hard and 9 challenging, each with a full explanation. Full-length Test A, Challenge Test 1 and all 1,023 vocabulary words are free too, as are the 20-question diagnostic, each Learn module’s overview and first lesson, and PEAK Survivor’s first map. No card needed.
Pro is $20 a month or $200 a year: unlimited practice with no daily limit, plus every full-length test and Challenge test, and every game map and level. Peak is $29 a month or $280 a year: everything in Pro, plus the full Learn course and Peak Plan. Cancel anytime from your account.
98 questions across four modules, in the digital SAT’s order: Reading & Writing Module 1 and Module 2 (27 questions each), a 10-minute break, then Math Module 1 and Module 2 (22 questions each). On official timing that’s 2 hr 14 min of testing. You get estimated section scores and a total at the end.
Yes. In the standard full-length tests, Module 2 of each section is the harder version if you get 60% or more of Module 1 right, and the easier version if you don’t. Challenge tests use the hardest material throughout.
Official timing, extended 1.5× time, or untimed, on every test, including the free ones. Extended time allows 48 minutes for each Reading & Writing module and about 52 for each Math module. Untimed removes the clock so you can focus on accuracy.
A quick run with three hearts. Each right answer builds your streak: the questions get harder as it grows, and your points multiply (×2 from three in a row, ×3 from six). A miss costs a heart and drops you back to easy. Best is your longest streak.
Every day at midnight Central Time. You get a fresh 9 easy, 9 medium, 9 hard and 9 challenging.
No. Peakscor is an independent SAT practice tool, not affiliated with the College Board. Scores shown are estimates.
Your next point starts today.
Free, no card.
Nonlinear equations and systems · Strategy summary
Nonlinear equations and systems: strategy summary
Standard form first: everything on one side, 0 on the other, ax2+bx+c=0. Read a, b and c with their signs.
No x-term: take square roots and write ±. Friendly numbers: factor, then set each factor equal to 0 and solve it (x−7=0 gives x=7; 2x−5=0 gives x=25). Otherwise: x=2a−b±b2−4ac, dividing the whole numerator by 2a.
Never divide both sides by x. Factor it out so you keep x=0.
Discriminant b2−4ac: positive, two real solutions; zero, exactly one; negative, none. For *exactly one solution, find k*, set it equal to 0.
Two solutions: sum =−ab, product =ac.
Radicals: isolate, square, solve, then check every answer in the original. (x−5)2=x2−10x+25.
Rational equations: multiply every term by the common denominator, then reject any value that makes a denominator 0.
Absolute value: isolate the bars, then split into A=c and A=−c. c<0: no solution. When A is linear, c>0 gives two solutions and c=0 gives one. If x is outside the bars too, check each answer.
Systems: set the y-expressions equal, solve for x, then find y. The number of intersection points equals the number of real solutions of the combined quadratic.
From a graph: solutions are the points on both graphs. A vertex or intercept on only one graph is not a solution.
Desmos: graph each side as y= and click the crossings. It shows only real solutions of the original equation, so extraneous values never appear.
Choose a section, then practice a whole domain or drill a single skill.
Difficulty
Status
Session
Timing
Full-length tests
Each test mirrors the digital SAT: 98 questions across four modules, 2 hr 14 min on official timing.
A little harder than the real SAT. These tests can run slightly tougher than test day, which makes them good practice: if you can handle these, the real one should feel easier. No question appears in more than one test, Challenge Tests included.
Challenge Tests Hardest of the hardest
Same 98-question format, but every question is drawn from the toughest SAT material: Challenging-tier math throughout and the hardest reading.
Vocab
Study the classic SAT vocabulary list. Browse, flip flashcards, or quiz yourself.
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