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The DailySTEP 1

Three hearts. A miss costs one.
Streaks pay. ×2 from three in a row, ×3 from six.
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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.

A Peakscor full-length test in progress: Reading and Writing, Test A, Module 1 of 4, question 7 of 27, with the passage, four answer choices, a highlighter, a 24:18 timer and Flag, Back and Next buttons.

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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.
3
Drill that skill.

Practice any single skill at any difficulty, or just the questions you got wrong.
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.

Free daily practice

12 easy, 12 medium and 12 hard questions free every day, each with a full explanation. Filter by section, domain, skill and difficulty. Resets at midnight.

Real SAT timing

Take any test on official timing, extended 1.5× time, or untimed to focus purely on accuracy.

Adaptive full-length tests

Four modules in official order. The second module of each section adapts to how you did on the first.

Vocabulary

1,023 essential SAT words. Browse the list, flip flashcards, or quiz yourself.

Your progress

Accuracy across daily practice and full tests, your strongest skills, and the ones that need the most help.

Games

PEAK Survivor, Hole and Peak Defense: three games powered by SAT practice questions.

Explanations

Every answer, explained.

Not just the right letter: how to get there, and why the tempting answer is wrong.

MathProblem-Solving and Data AnalysisHard

A store raises the price of a jacket by 20%. Later, it lowers the new price by 20%. The final price is what percent of the original price?

A80%

B96%Correct

C~~100%~~The trap

D104%

Check with $100: $100then$120then$96

Turn each change into a multiplier.
Up 20% means × 1.20. Down 20% means × 0.80.
Apply them in order.
1.20 × 0.80 = 0.96
Read the answer.
The final price is 96% of the original. That’s B.
Why not 100%?
The 20% cut is taken from the higher price, so it removes more than the 20% increase added.

Test day

What test day looks like.

Every Peakscor full test follows this order. In the standard tests, the second module of each section adapts to how you did on the first.

Reading & Writing · Module 1
27 questions32 min
Reading & Writing · Module 2
27 questions32 min

Adapts to how you did on Module 1.
Break
10 min
Math · Module 1
22 questions35 min
Math · Module 2
22 questions35 min

Adapts to how you did on Module 1.

98 questions · 2 hr 14 min of testing, plus the break

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36free practice questions every day
98questions in every full-length test
1,023SAT vocabulary words
1.5×extended-time option on every test

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Full-length Test A and Challenge Test 1
All 1,023 vocabulary words: browse, flashcards and quiz

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FAQ

Questions, answered.

The Daily, plus 36 practice questions every day: 12 easy, 12 medium and 12 hard, each with a full explanation. Full-length Test A, Challenge Test 1 and all 1,023 vocabulary words are free too. 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. 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. You get a fresh 12 easy, 12 medium and 12 hard.

No. Peakscor is an independent SAT practice tool, not affiliated with the College Board. Scores shown are estimates.

Your next point starts today.

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Equivalent expressions · Lesson 2

Factoring

Factoring runs expanding backward: you write an expression as a product. On the SAT it helps you spot an equivalent form, find a factor, or simplify a fraction.

Greatest common factor (GCF) first. Pull out the largest factor every term shares: $6x^3 - 15x = 3x(2x^2 - 5)$ . The GCF stays in front of the final answer.

**Trinomials $x^2 + bx + c$ .** Find two numbers that multiply to $c$ and add to $b$ . For $x^2 + 2x - 15$ : $5 \cdot (-3) = -15$ and $5 + (-3) = 2$ , so it is $(x + 5)(x - 3)$ .

**Trinomials $ax^2 + bx + c$ with $a \ne 1$ .** Find two numbers that multiply to $ac$ and add to $b$ , split the middle term with them, and factor by grouping. For $2x^2 + 7x + 3$ : $ac = 6$ , and $6 \cdot 1 = 6$ with $6 + 1 = 7$ . So $2x^2 + 6x + x + 3 = 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3)$ .

Difference of squares. $a^2 - b^2 = (a - b)(a + b)$ . Look for structure: $4x^2 - 49 = (2x)^2 - 7^2 = (2x - 7)(2x + 7)$ , and $x^4 - 16 = (x^2)^2 - 4^2 = (x^2 - 4)(x^2 + 4)$ . The $x^2 - 4$ factors again into $(x - 2)(x + 2)$ . A sum of squares such as $x^2 + 4$ does not factor into binomials with real numbers.

Check any factoring by expanding it back. If you get the original expression, it's right.

Worked example Easy

Which expression is equivalent to $x^2 - 3x - 28$ ?

$(x + 7)(x - 4)$
$(x - 7)(x + 4)$ Answer
$(x - 7)(x - 4)$
$(x - 14)(x + 2)$

How to solve it

Look for two numbers that multiply to $-28$ and add to $-3$ .
The product is negative, so the numbers have opposite signs. The sum is negative, so the number farther from zero is negative: $-7$ and 4.
Write $(x - 7)(x + 4)$ . Check: $x^2 + 4x - 7x - 28 = x^2 - 3x - 28$ .

Why each choice is right or wrong

A. Incorrect. The signs are swapped. $(x + 7)(x - 4) = x^2 + 3x - 28$ , with a middle term of $+3x$ .
B. Correct. $-7 \cdot 4 = -28$ and $-7 + 4 = -3$ . Expanding gives $x^2 + 4x - 7x - 28 = x^2 - 3x - 28$ .
C. Incorrect. $-7$ and $-4$ multiply to $+28$ , not $-28$ . This expands to $x^2 - 11x + 28$ .
D. Incorrect. $-14$ and 2 multiply to $-28$ , but they add to $-12$ , not $-3$ . This expands to $x^2 - 12x - 28$ .

Worked example Medium

Which expression is equivalent to $6x^2 + 7x - 20$ ?

$(3x + 4)(2x - 5)$
$(3x - 4)(2x + 5)$ Answer
$(6x - 5)(x + 4)$
$\left(x - \frac{4}{3}\right)\left(x + \frac{5}{2}\right)$

How to solve it

Multiply $a$ and $c$ : $6 \cdot (-20) = -120$ . Find two numbers that multiply to $-120$ and add to 7: 15 and $-8$ .
Split the middle term: $6x^2 + 15x - 8x - 20$ .
Group: $3x(2x + 5) - 4(2x + 5)$ .
Factor out $2x + 5$ : $(3x - 4)(2x + 5)$ . Check: $6x^2 + 15x - 8x - 20 = 6x^2 + 7x - 20$ .

Why each choice is right or wrong

A. Incorrect. The signs are swapped. $(3x + 4)(2x - 5) = 6x^2 - 15x + 8x - 20 = 6x^2 - 7x - 20$ , with a middle term of $-7x$ .
B. Correct. Expanding gives $6x^2 + 15x - 8x - 20 = 6x^2 + 7x - 20$ .
C. Incorrect. The first terms multiply to $6x^2$ and the last terms to $-20$ , but the middle products are $24x$ and $-5x$ , which give $19x$ , not $7x$ . Always check the middle term.
D. Incorrect. This has the right zeros, $\frac{4}{3}$ and $-\frac{5}{2}$ , but its $x^2$ -coefficient is 1. It equals $\frac{1}{6}(3x - 4)(2x + 5)$ , one sixth of the given expression. An equivalent form must keep the leading coefficient 6.

Worked example Hard

Which expression is equivalent to $2x^4 - 32$ ?

$2(x^2 - 4)^2$
$2(x - 2)^4$
$2(x - 2)(x + 2)(x^2 + 4)$ Answer
$(x - 2)(x + 2)(x^2 + 4)$

How to solve it

Pull out the GCF, 2: $2(x^4 - 16)$ .
See $x^4 - 16$ as a difference of squares: $(x^2)^2 - 4^2 = (x^2 - 4)(x^2 + 4)$ .
$x^2 - 4$ is another difference of squares: $(x - 2)(x + 2)$ . The sum $x^2 + 4$ does not factor.
Result: $2(x - 2)(x + 2)(x^2 + 4)$ .

Why each choice is right or wrong

A. Incorrect. This writes $x^4 - 16$ as $(x^2 - 4)(x^2 - 4)$ . But $(x^2 - 4)^2 = x^4 - 8x^2 + 16$ , so this choice equals $2x^4 - 16x^2 + 32$ . A difference of squares factors into one minus and one plus factor: $(x^2 - 4)(x^2 + 4)$ .
B. Incorrect. This assumes $x^4 - 16 = (x - 2)^4$ , as if each term could be raised to the fourth power separately. At $x = 0$ , $2(x - 2)^4 = 32$ , but $2x^4 - 32 = -32$ .
C. Correct. $2x^4 - 32 = 2(x^4 - 16) = 2(x^2 - 4)(x^2 + 4) = 2(x - 2)(x + 2)(x^2 + 4)$ . Expanding back: $(x - 2)(x + 2) = x^2 - 4$ , times $x^2 + 4$ is $x^4 - 16$ , times 2 is $2x^4 - 32$ .
D. Incorrect. This factors $x^4 - 16$ correctly but drops the GCF. It equals $x^4 - 16$ , half of the given expression.

Trap Right ends, wrong middle

For $ax^2 + bx + c$ , many pairs of factors give the right first and last terms. Only one pair also gives the middle term. The SAT often lists pairs that match the ends but not the middle, and the version with the signs swapped. Expand your answer to check the middle term.

Trap Stopping early or losing the GCF

$x^4 - 16 = (x^2 - 4)(x^2 + 4)$ is true, but $x^2 - 4$ still factors. If the question asks for a factor such as $x - 2$ , you need that last step. And if you pulled out a GCF, it stays in the answer: $(x - 2)(x + 2)(x^2 + 4)$ is half of $2x^4 - 32$ , not equal to it.

Desmos When Desmos is faster

For which expression is equivalent questions, graph the original and each choice as $y =$ lines. The equivalent choice lies exactly on top of the original.

For which expression is a factor questions, graph $y =$ the expression and click the points where it meets the $x$ -axis. For a polynomial, a zero at $x = r$ means $x - r$ is a factor. For $6x^2 + 7x - 20$ , the intercepts are at $x = -2.5$ and $x \approx 1.333$ , which match the factors $2x + 5$ and $3x - 4$ . Desmos shows decimals, so connect 1.333 to $\frac{4}{3}$ yourself.

Intercepts only find factors with real zeros. A factor such as $x^2 + 4$ never meets the $x$ -axis, so for a choice like that, compare graphs or expand by hand instead.

Your progress

How you’re doing across daily practice and full-length tests.

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Practice

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Difficulty

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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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Full course and plan

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$280/ year

About $23.33 a month, save $68

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✓ Cancel anytime

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Level up your SAT skills.

The real test, rehearsed.

One run a day. One skill at a time.

Play the Daily.

Miss one, learn why.

Drill that skill.

Beat your best.

Built around the real SAT blueprint.

Free daily practice

Real SAT timing

Adaptive full-length tests

Vocabulary

Your progress

Games

Every answer, explained.

Turn each change into a multiplier.

Apply them in order.

Read the answer.

Why not 100%?

What test day looks like.

Reading & Writing · Module 1

Reading & Writing · Module 2

Break

Math · Module 1

Math · Module 2

Peakscor by the numbers

Free every day. Pro when you’re serious.

Free

Pro

Peak

Questions, answered.

What’s free?

What do Pro and Peak cost?

What does a full-length test include?

Do the tests adapt to me?

Which timing options are there?

How does the Daily work?

When do my free questions reset?

Is Peakscor affiliated with the College Board?

Your next point starts today.

Factoring

Worked example Easy

How to solve it

Why each choice is right or wrong

Worked example Medium

How to solve it

Why each choice is right or wrong

Worked example Hard

How to solve it

Why each choice is right or wrong

Trap Right ends, wrong middle

Trap Stopping early or losing the GCF

Desmos When Desmos is faster

Your progress

Practice

Full-length tests

Challenge Tests Hardest of the hardest

Vocab

Free every day. Pro when you're serious.

FREE

PRO

PEAK