Linear inequalities in 1 or 2 variables

Do you know the one moment when an inequality sign has to flip? These SAT Algebra quizzes on linear inequalities in one or two variables make that rule, and everything around it, second nature.

Mastering Linear Inequalities

You will get the hang of the inequality symbols, the flipping rule, and what solution sets look like, then step up to fractional coefficients, compound inequalities, and systems where more than one condition must hold at once. Some problems ask you to count integer solutions or optimize within layered constraints, the same way the toughest SAT questions do.

Inequalities are how the SAT describes limits and ranges, like a budget you cannot exceed or a score you need to clear. Reading them fluently means you can set up a problem about "at most" or "at least" without second-guessing which symbol belongs where. Two-variable inequalities go a step further and describe whole regions on a graph, which is how the test models situations where several conditions have to hold together. Getting comfortable with those regions makes even the layered, multi-constraint problems feel routine.

Did You Know?

Whenever you multiply or divide both sides of an inequality by a negative number, you have to flip the inequality sign. Solve -2x < 6 and dividing by -2 turns it into x > -3, not x < -3. Skipping that flip is one of the quickest ways to turn a correct setup into a wrong answer on the test.

How the Quizzes Work

The three quizzes build from the basic rules up to compound inequalities and real-world constraint problems. Each takes just a few minutes, and you can repeat them as often as you want until flipping the sign at the right moment becomes automatic.

Want to stop second-guessing which way the sign points? Try these free interactive SAT math quizzes and practice linear inequalities today.