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Master SAT Algebra

Master linear equations, functions, systems, and inequalities with efficient algebra and purposeful Desmos methods.

  • 15 interactive lessons
  • Step-by-step worked examples
  • SAT-style practice questions
Start Lesson 1Browse all lessons

Beginner

  1. Lesson 10%Solve linear equationsSolve one-variable linear equations with one solution using short structural algebra, typing the equation into Desmos, or graphing both sides, then give the exact value the SAT asks for.30 min · 4 practice problems
  2. Lesson 20%Model and interpret one-variable equationsTranslate SAT contexts into one linear equation, interpret each part with its units, and explain what the solution means.30 min · 3 practice problems
  3. Lesson 40%Find slope and rate of changeFind and interpret the signed rate of change of a line from two points, a table, a graph, or an equation.31 min · 4 practice problems
  4. Lesson 50%Understand intercepts and starting valuesFind x- and y-intercepts from equations, graphs, tables, and contexts, then explain what each axis crossing means and whether it belongs in the situation.28 min · 3 practice problems
  5. Lesson 60%Write and match linear functionsWrite or match a linear function from points, slope, an intercept, a table, an equation, or a graph.30 min · 3 practice problems
  6. Lesson 70%Find inputs and outputs of linear functionsEvaluate a linear function, recover the input that produces a given output, and choose between quick work by hand and typing it straight into Desmos.28 min · 3 practice problems
  7. Lesson 80%Build and use linear modelsRecognize constant additive change, build a linear model from a context, use it for a prediction, and check whether the result is reasonable.29 min · 3 practice problems

Intermediate

  1. Lesson 30%Count solutions and determine constantsRecognize when a linear equation has one, no, or infinitely many solutions, then choose constants that force the required result.30 min · 4 practice problems
  2. Lesson 90%Read and write two-variable linear equationsRepresent two-quantity constraints with linear equations, interpret coefficients and solution pairs, and connect standard form with tables, graphs, and intercepts.36 min · 4 practice problems
  3. Lesson 100%Work with parallel and perpendicular linesUse exact slope relationships to identify, construct, and complete equations of parallel and perpendicular lines, including horizontal and vertical cases.30 min · 4 practice problems
  4. Lesson 110%Solve linear systems strategicallyChoose Desmos intersections, substitution, elimination, or a direct equation combination to solve SAT linear systems and give the exact quantity the question asks for.37 min · 5 practice problems
  5. Lesson 120%Model and classify linear systemsTurn two-condition SAT contexts into linear systems, interpret intersections, and classify systems with one, no, or infinitely many solutions.38 min · 4 practice problems
  6. Lesson 130%Solve one-variable inequalitiesSolve and interpret one-variable and compound linear inequalities, including reversed signs, interval endpoints, and integer bounds that fit the context.28 min · 3 practice problems
  7. Lesson 140%Graph and model two-variable inequalitiesGraph two-variable linear inequalities, find overlapping feasible regions, and choose and verify greatest or least feasible whole-number quantities.35 min · 3 practice problems

Advanced

  1. Lesson 150%Optimize a linear objective over a feasible regionFind the feasible corners of a two-variable inequality region, evaluate a separate linear objective, and verify any whole-number restrictions from the context.24 min · 3 practice problems