Free study guide

SAT Math Practice Review: Find the Error That Matters

Doing more practice questions is less useful if the same mistake keeps returning. After a timed set, sort each missed question by cause before deciding what to study next. This example is original practice, not an official SAT question.

Sort each error

Use three labels: concept gap, method choice or timing/attention. A concept gap means you could not explain the underlying idea. A method error means you knew the idea but chose an inefficient or incorrect approach. A timing error means you could solve it when untimed but rushed or left it unfinished.

Work through an example

A linear function passes through (2, 7) and (5, 16). To find its equation, calculate the slope: (16 - 7) / (5 - 2) = 9 / 3 = 3. Write y = 3x + b, substitute (2, 7), and obtain b = 1. The function is y = 3x + 1. Check with the second point: 3(5) + 1 = 16.

Diagnose a wrong answer

If you used 9 / 5 for the slope, the concept to revisit is change in y divided by change in x, not the ratio of coordinates. If you found slope 3 but wrote y = 3x, your next step is practising the intercept. If you solved it correctly after the timer, practise reaching the slope and intercept efficiently.

Build a short review loop

Record the question type and the exact mistaken step. Solve one similar question without notes, then return to the topic two or three days later. Track whether the same type of error reappears; that is a more useful signal than counting questions attempted.

Try it yourself

Find the line through (1, 4) and (4, 13). You should obtain y = 3x + 1. Check both points and write one sentence explaining why the slope is 3.

What to do next

Use recent practice work to decide which topics deserve your limited study time. A tutor can help if a misconception survives repeated independent review.

Explore SAT Math tutoring More free resources