Concept-Based Learning

The SAT has 179 skills.
We track every one.

Most SAT prep tells you "review Algebra." Praczo tells you exactly which algebra skill is costing you points — and gives you targeted practice to fix it.

179
Concepts tracked
8
Domains
30
Subtopics
5,000+
Tagged questions
The problem

Broad topics aren't enough.

Knowing you're “weak in Algebra” is like knowing you feel sick somewhere. Useful for knowing something is wrong — useless for knowing how to fix it.

Other platforms

Test results

You got 8 of 22 Math questions wrong.

Algebra: 3 wrong
Advanced Math: 3 wrong
Geometry: 2 wrong
Recommendation: Review Algebra →

You still don't know which algebra skill is the problem.

Praczo

Test results — exact concepts

Setting up equations from word problems28%
Factoring quadratics19%
Similar triangles41%
Drill “Word problem equations” now →

You know the exact skill. You know the fix. You know what to do next.

The structure

Domain → Subtopic → Concept

Praczo organizes the entire SAT into a three-level hierarchy. At the top are domains — the four broad areas the College Board tests. Each domain contains subtopics. Each subtopic contains the individual concepts — the specific, teachable skills that separate right answers from wrong ones.

A concept is small enough to master in a single study session. It's big enough to represent a real skill — not a trivia fact, but a pattern of reasoning you either have or you're building.

  • Every concept has a mastery score (0–100%)
  • Every concept has a short lesson you can read on demand
  • Every concept links directly to practice questions targeting it
  • Mastery decays over time — spaced repetition built in
SAT Skill TaxonomyMath · Algebra
MathDomain
AlgebraSubtopic
Setting up equations from word problems
28%
Slope-intercept form
89%
Systems of equations — substitution
54%
Linear inequalities
71%
+ 8 more Algebra concepts…
Advanced Math · 18 concepts
Geometry & Trig · 20 concepts
Problem Solving & Data · 14 concepts
Math · Question 14Difficulty 3 / 5

A school store sells pencils for $0.75 each and erasers for $0.50 each. Kenji buys 10 items total and pays $6.25. How many pencils did he buy?

A3
B5
C7
D9

Concepts tested by this question

Setting up equations from word problems
Systems of linear equations
How questions work

Every question knows what it's testing.

Before a question goes live on Praczo, it gets tagged to one or more specific concepts. That tagging is what makes everything downstream possible — the mastery scores, the targeted drills, the study plan.

When you get a question wrong, Praczo doesn't just mark it red. It records which concept you missed, nudges your mastery score for that concept down, and flags it for your next study session. One wrong answer = one data point. Fifty wrong answers = a picture of exactly where you stand.

How a wrong answer updates your profile

1You get Question #447 wrong
2System reads: tests "word-problem setup"
3Mastery for that concept drops 4 pts
4Study plan queues it for tomorrow
Mastery tracking

A score for every skill.
Updated in real time.

Every concept gets a mastery score from 0 to 100, calculated from your recent accuracy on questions tagged to that concept. It's recency-weighted — what you practiced last week matters more than what you did a month ago.

0–39

Needs work

Core gaps. Concept lesson + immediate drill.

40–64

Developing

Inconsistent. More reps to build reliability.

65–84

Proficient

Solid. One full-test appearance to confirm.

85–100

Mastered

Move on. Spaced review keeps it sharp.

Your Concept Mastery8 of 179 concepts shown
AllNeeds workDevelopingProficientMastered
Math

Setting up equations from word problems

28%

Needs work

Math

Factoring quadratics

19%

Needs work

R&W

Subject-verb agreement

78%

Proficient

Math

Similar triangles

52%

Developing

R&W

Contrast transitions

88%

Mastered

R&W

Finding textual evidence

94%

Mastered

Math

Percent change

44%

Developing

R&W

Pronoun-antecedent agreement

67%

Proficient

Practice all weak concepts →

Concept lesson

Setting up equations from word problems

3 min read

The key idea

Word problem questions don't test arithmetic — they test your ability to translate English into algebra. The SAT always gives you enough information; your job is to assign a variable and write the right equation before you solve anything.

The 3-step method

  1. 1.Name what you don't know — assign one variable
  2. 2.Write one equation from the total or rate given
  3. 3.Solve and check against both conditions

Worked example

“Tickets cost $12 for adults and $8 for children. If 30 tickets were sold for $300, how many adult tickets were sold?”

Let a = adult tickets

a + (30 − a) = 30  ✓

12a + 8(30 − a) = 300

4a = 60   → a = 15

Practice 5 questions on this concept →
Built-in lessons

Understand it.
Then practice it.

Every concept comes with a short, focused lesson — a 2–5 minute read that explains exactly what the concept is, how it shows up on the SAT, and the clearest way to approach it. No fluff, no padding.

The lesson isn't a separate resource you have to go find. It surfaces right inside the practice flow — when you miss a question, when you start a concept drill, or any time you tap “Read lesson” from your concept map.

  • One concept per lesson — laser focused
  • 2–5 minute read, no videos required
  • Always followed by 3–5 targeted practice questions
  • Available on demand from your concept weakness map
Full coverage

179 concepts.
Every SAT skill, mapped.

Here's the full breakdown across all 8 domains. No SAT skill falls outside this map.

Algebra

12
  • Setting up equations from word problems
  • Slope-intercept form
  • Systems of linear equations
  • Linear inequalities
  • Absolute value equations
  • + 7 more

Advanced Math

18
  • Factoring quadratics
  • Vertex form of a parabola
  • Polynomial long division
  • Exponential growth & decay
  • Rational expressions
  • + 13 more

Problem Solving & Data

14
  • Interpreting scatterplots
  • Mean, median, mode
  • Probability basics
  • Two-way tables
  • Percent change
  • + 9 more

Geometry & Trigonometry

20
  • Similar triangles
  • Circle theorems
  • Volume of 3D solids
  • Pythagorean theorem
  • Right triangle trigonometry
  • + 15 more

Craft & Structure

22
  • Words in context (vocabulary)
  • Author's purpose
  • Identifying tone and perspective
  • Text structure (compare/contrast)
  • Transition words
  • + 17 more

Information & Ideas

28
  • Central idea and details
  • Finding textual evidence
  • Inferences from text
  • Interpreting data in passages
  • Comparing paired passages
  • + 23 more

Standard English Conventions

35
  • Subject-verb agreement
  • Pronoun-antecedent agreement
  • Comma usage
  • Apostrophes & possession
  • Run-on sentences
  • + 30 more

Expression of Ideas

30
  • Contrast transitions
  • Adding relevant information
  • Eliminating redundancy
  • Combining sentences
  • Rhetorical goal of a revision
  • + 25 more

Find out which concepts
are holding you back.

Take the 25-minute diagnostic. Get your personal mastery map across all 179 concepts. Start fixing the right things from day one.

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