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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
Beginner
- Lesson 10%Solve linear equations
Solve 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
- Lesson 20%Model and interpret one-variable equations
Translate SAT contexts into one linear equation, interpret each part with its units, and explain what the solution means.
30 min · 3 practice problems
- Lesson 40%Find slope and rate of change
Find 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
- Lesson 50%Understand intercepts and starting values
Find 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
- Lesson 60%Write and match linear functions
Write or match a linear function from points, slope, an intercept, a table, an equation, or a graph.
30 min · 3 practice problems
- Lesson 70%Find inputs and outputs of linear functions
Evaluate 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
- Lesson 80%Build and use linear models
Recognize 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
- Lesson 30%Count solutions and determine constants
Recognize when a linear equation has one, no, or infinitely many solutions, then choose constants that force the required result.
30 min · 4 practice problems
- Lesson 90%Read and write two-variable linear equations
Represent 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
- Lesson 100%Work with parallel and perpendicular lines
Use exact slope relationships to identify, construct, and complete equations of parallel and perpendicular lines, including horizontal and vertical cases.
30 min · 4 practice problems
- Lesson 110%Solve linear systems strategically
Choose 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
- Lesson 120%Model and classify linear systems
Turn two-condition SAT contexts into linear systems, interpret intersections, and classify systems with one, no, or infinitely many solutions.
38 min · 4 practice problems
- Lesson 130%Solve one-variable inequalities
Solve 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
- Lesson 140%Graph and model two-variable inequalities
Graph 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
- Lesson 150%Optimize a linear objective over a feasible region
Find 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