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SAT Math / Algebra

SAT topic

Systems of equations

Solutions that satisfy every equation at once.

Learning goals

  • Solve a two-equation linear system by substitution or elimination.
  • Interpret a solution as a point that lies on both graphs.

Explanation

A system contains two or more equations whose solutions satisfy all equations simultaneously.

Common mistakes

  • Finding a value that works in only one equation and stopping.
  • Adding equations that do not cancel a variable and calling the result a solution.

Practice

1 of 2Percent problems · easy · multiple choice

A quantity increases from 50 to 65. What is the percent increase?

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Quick review

  1. 01Decide elimination or substitution before you start arithmetic.
  2. 02Substitute back into an original equation.
  3. 03If the variables vanish, check whether the system is infinite or empty.
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Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    Official SAT practice hub

    College Board SAT practice landing page, including links to tests and tools.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Bluebook full-length practice

    Official digital SAT practice tests in the Bluebook app.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Student Question Bank

    Official SAT practice questions hosted by College Board.

    College Board · All rights reserved · accessed 2026-10-01

    Use as an external link. Do not republish question stems.

    Open source

  • Official / link only

    Official SAT Prep on Khan Academy

    College Board describes this as free Official SAT Prep with lessons, hints, and walkthroughs.

    Khan Academy / College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source