Koydo
CDLNCLEXIELTSOpen Koydo

SAT · 18% of test plan

Math — Algebra for the SAT Exam

Algebra is the largest Math domain in the Digital SAT and the one most directly connected to 8th–10th grade curricula. Linear equations and systems appear in every SAT Math section. A student who can solve any linear equation in one variable, interpret a linear function's slope and intercept, and solve a 2×2 system is positioned to answer roughly 12–13 questions correctly on Math alone.

College Board Digital SAT Suite Specifications 2024 — Math: Algebra domain (~35% of Math questions).

Locale-specific study guides

Pass-rate data, regulatory context, and study tips for Math — Algebra all change by candidate locale. Pick your context:

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

  • !Sign errors when solving multi-step equations — especially when distributing a negative
  • !Misinterpreting the slope of a line in context: slope = rate of change, not the starting value
  • !Setting up the wrong inequality direction when multiplying or dividing by a negative number
  • !Solving for the wrong variable in a system of equations (solving for x when the question asks for y or x+y)

Study tips

  • 1For word problems, write the algebraic equation before touching the calculator. Define your variable, translate each phrase, then solve.
  • 2Memorise the slope-intercept form (y = mx + b), point-slope form, and standard form. Know how to convert between all three.
  • 3For systems of equations, decide between substitution and elimination based on the structure: elimination is faster when coefficients are already aligned; substitution is faster when one variable is isolated.
  • 4On the Digital SAT, use Desmos (the built-in graphing calculator) to graph linear equations quickly and find intersection points visually.
  • 5Practice inequality word problems — they appear in the Digital SAT in contextual form ('a store must sell at least X items to cover costs').

Sample SAT Math — Algebra questions

These sample items mirror the format and difficulty of real SAT questions. Practice with thousands more on the free Koydo question bank.

  1. 1

    If 3x + 7 = 22, what is the value of 6x + 1?

    • A29
    • B30
    • C31Correct
    • D43
    Why this answer?

    Solve for x: 3x = 15, so x = 5. Then 6x + 1 = 30 + 1 = 31. Alternatively, notice 6x + 1 = 2(3x + 7) − 13 = 2(22) − 13 = 44 − 13 = 31.

  2. 2

    A line passes through (0, 4) and (2, 10). The equation of the line is:

    • Ay = 3x + 4Correct
    • By = 3x − 4
    • Cy = 6x + 4
    • Dy = 2x + 4
    Why this answer?

    Slope = (10 − 4)/(2 − 0) = 6/2 = 3. y-intercept is 4 (given by the point (0, 4)). Equation: y = 3x + 4.

  3. 3

    Solve the system: 2x + y = 9, x − y = 3. The value of x is:

    • A2
    • B3
    • C4Correct
    • D5
    Why this answer?

    Adding the equations: 3x = 12, so x = 4. Check: y = 9 − 2(4) = 1, and x − y = 4 − 1 = 3. ✓

Practice the Digital SAT free with Koydo.

Reading & Writing + Math in the post-2024 adaptive format.

Start free SAT practice →