SAT Math / Linear Relationships

Linear Inequalities

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
slopeFor a nonvertical line, slope is the change in y divided by the change in x: y’s change per unit of x. A vertical line has undefined slope.

You’ll leave with these skills

  1. Write an inequality from a word problem that sets a limitTurn each phrase into a piece of the inequality, writing “at least” as greater than or equal to and “at most” as less than or equal to.
  2. Solve an inequality with three partsDo each step to all three parts of the inequality, and flip both signs when you multiply or divide by a negative number.
  3. Check whether a point solves an inequality in x and yPut the point’s x- and y-values into the inequality and see whether the statement comes out true.
  4. Match a shaded graph to its inequalityRead the line’s equation from the graph, check whether the line is dashed or solid, and test one point to see which side is shaded.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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