Math · Algebra

    Linear Inequalities

    Solve and interpret one- and two-variable linear inequalities.

    What the SAT Tests

    Linear inequality questions test the same algebra muscles as equations, but require careful attention to inequality flips when multiplying or dividing by negatives.

    Key Tips for Linear Inequalities

    • Flip the inequality sign when you multiply or divide by a negative number.
    • Graphing a system of inequalities = overlap of shaded half-planes.
    • Always re-read to see whether the boundary line is included (≤, ≥) or excluded (<, >).

    Sample Linear Inequalities Questions

    These are real practice questions pulled from our Digital SAT bank. Try each one before reading the highlighted correct answer.

    1. Question 1 · Easy

      Which equation is equivalent to the given equation?
      • A.
      • B.
      • C. Correct
      • D.
    2. Question 2 · Easy
      represents the speed of the car, in miles per hour, on this part of the trip.
      • A.
      • B.
      • C. Correct
      • D.
    3. Question 3 · Easy
      A dog has a mass of 36 kilograms. What is the dog's mass, in grams?(1 kilogram = 1,000 grams)
      • A. 36,000Correct
      • B. 1,296
      • C. 1,036
      • D. 964

    Practice Linear Inequalities Questions

    Drill linear inequalities questions in the Digital SAT Math question bank, or take a full-length practice module to see how this skill appears under test conditions.

    FAQs

    What is Linear Inequalities on the Digital SAT?

    Linear inequality questions test the same algebra muscles as equations, but require careful attention to inequality flips when multiplying or dividing by negatives.

    How hard are linear inequalities questions?

    Linear Inequalities questions appear at every difficulty level on the Digital SAT Math section. The hardest versions gate access to the top scaled scores in the hard Module 2.

    How do I practice linear inequalities?

    Use the 1600.now question bank to filter for linear inequalities questions, solve at least 20 in a row, and review every miss with the written explanation.

    Related Math Skills

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