Digital SAT · Math
Linear Equations & Inequalities on the Digital SAT: All Question Types
Linear Equations and Inequalities is the backbone of the Digital SAT Algebra domain and one of the most frequently tested skills on the whole test. It spans solving a linear equation, solving and reading a linear inequality, and building an equation or inequality from a word problem. Inequalities follow the same steps as equations with one rule added, that dividing by a negative flips the sign, and many prompts ask for a greatest or least value rather than the full solution. The built-in Desmos calculator can solve or check most of these, so knowing when to solve by hand and when to graph is part of the skill. These questions reward reading exactly what value the prompt wants after the algebra is done.
College Board skill: Algebra: Linear equations and inequalities
How Linear Equations & Inequalities is tested
- how often it appears
- ~7 per test how often it appears
- typical difficulty
- Mostly easy typical difficulty
- practice questions in our bank
- 464 practice questions in our bank
Translate, then isolate
Turn the words or relationship into an equation, then isolate the quantity the question asks for - not just x.
Frequency and difficulty come from this skill's questions across our assembled full-length Digital SAT forms; the practice count is how many drills of these types are in our bank.
4 question types in Linear Equations & Inequalities
Here a shaded region or a boundary line is shown, and you match it to an inequality, or test which point is a solution.
One unknown, no exponents, exactly one value of x that works.
Solving an inequality is just like solving an equation, with a single extra rule: multiply or divide both sides by a negative and the inequality sign flips.
A single equation can have one solution, none, or infinitely many, and the tell is in the two sides once you simplify.
Common questions
How often does this skill appear on the Digital SAT?
Very often. Linear equations and inequalities are among the most frequent Math questions, so the skill is high-value and worth mastering before the more specialized topics.
Can I use Desmos for these?
Yes. Most linear equations and inequalities can be solved or checked in the built-in Desmos calculator, which shades an inequality's solution and confirms the direction of the sign.
Why do I get the algebra right but miss the question?
Many prompts ask for a greatest value, least value, or a specific expression rather than the plain solution. Rereading the final request after solving keeps a correct method from producing a wrong answer.
Practice Linear Equations & Inequalities the way it is tested
Start with the free 16-question diagnostic, then drill any of these types with step-by-step reasoning.