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Test Algebra Mastery
DOMAIN 01 · 13–15 QUESTIONS (~35% OF EXAM)

Master SAT Algebra.
High speed, zero errors.

Algebra forms the backbone of the Digital SAT Math section. Master linear equations, systems, inequalities, and learn how to solve 70%+ of these questions in under 30 seconds using the built-in Desmos graphing calculator.

Core Algebra Subtopics

Click any topic to explore formulas, high-frequency question patterns, and Desmos shortcuts.

01

Linear Equations (1 Variable)

Solving for constants, matching matching forms, and identifying 1 solution, no solution ($0=k$), or infinitely many solutions ($0=0$).

ax + b = cx + d
Study Linear Equations →
02

Systems of Linear Equations

Intersections of two lines, substitution vs elimination, and finding constant $k$ for no intersection or infinite solutions.

a₁x + b₁y = c₁
Study Systems →
03

Linear Functions & Word Problems

Interpreting slope as rate of change and y-intercept as initial value in real-world science and finance scenarios.

y = mx + b · f(x)
Study Linear Models →
04

Linear Inequalities in 1 & 2 Variables

Boundary lines, shaded feasible regions, maximum/minimum constraints, and coordinate test points.

y ≤ mx + b
Study Inequalities →
05

Linear Equations (2 Variables)

Finding slopes from $(x, y)$ coordinate pairs, determining constant rate of increase, and checking table fit in Desmos.

m = (y₂ - y₁) / (x₂ - x₁)
Study 2-Variable Equations →
06

Algebra Word Problems

Translating contextual problems into algebraic models, finding unknowns, and verifying solution feasibility.

Total = Rate · x + Base
Study Word Problems →
DESMOS ALGEBRA HACK

Solve 2-Variable Systems Instantly Without Algebra

Instead of multiplying equations by coefficients and doing manual elimination, type both equations directly into Desmos. Tap the gray intersection point to read $(x, y)$ in 3 seconds.

Explore Full Desmos Guide →
// Desmos Input
1) 4x - 7y = 23
2) 9x + 2y = -5
// Result
Intersection: (1.25, -2.57)