Linear Inequalities: SAT Practice Questions
77 official Linear Inequalities questions (Algebra) from the SAT Suite Question Bank, in the same question-ID order used in signed-in practice. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.
What does Linear Inequalities test on the SAT?
Linear Inequalities questions ask for a range of valid values or a shaded region satisfying one or more conditions. Inequality direction and boundary inclusion matter as much as the arithmetic.
Common question types
- Solve a one-variable inequality
- Model a minimum or maximum constraint
- Identify the graph or region satisfying inequalities
Common traps
- Forgetting to reverse the sign after multiplying or dividing by a negative
- Using a strict boundary when equality is allowed
- Testing a point on the boundary instead of inside a region
Difficulty distribution
Start with the easier questions, then work toward the highest score bands.
- Easy
- 28
- Medium
- 29
- Hard
- 20
- Extreme
- 0
Featured Linear Inequalities questions
How do I improve at Linear Inequalities?
- 1Translate words such as at least and fewer than before solving.
- 2Mark whether each boundary is included.
- 3Test a simple point in the proposed interval or shaded region.
Desmos method
Enter the inequality directly to view its solution region. For systems, graph every inequality together and identify the overlap, checking whether boundary lines are solid or dashed.
Related Algebra skills
All 77 official questions
- Question 1 00ec9102Easy
- Question 2 03503d49Hard
- Question 3 0b221d05Medium
- Question 4 0ef4a7b6Medium
- Question 5 187f74bcHard
- Question 6 1a621af4Hard
- Question 7 208626dfEasy
- Question 8 2869fe95Easy
- Question 9 2c121b25Easy
- Question 10 30b1e186Medium
- Question 11 34aca984Medium
- Question 12 4047cfa7Easy
- Question 13 45cfb9deHard
- Question 14 48fb34c8Hard
- Question 15 4a090a46Easy
- Question 16 541bef2fHard
- Question 17 55ea82f3Hard
- Question 18 563407e5Easy
- Question 19 59a49431Easy
- Question 20 5bf5136dHard
- Question 21 64c85440Medium
- Question 22 68c5c81aHard
- Question 23 68f2cbafEasy
- Question 24 6c71f3ecHard
- Question 25 6cb9bf45Medium
- Question 26 6daf8d70Medium
- Question 27 72a5fd28Easy
- Question 28 744ee7d7Easy
- Question 29 74c98c82Medium
- Question 30 7d6928bdEasy
- Question 31 80da233dMedium
- Question 32 830120b0Hard
- Question 33 842cec4dEasy
- Question 34 84d0d07eEasy
- Question 35 86f7483fEasy
- Question 36 89541f9bEasy
- Question 37 8f0c82e2Medium
- Question 38 90bd9ef8Medium
- Question 39 915463e0Easy
- Question 40 948087f2Medium
- Question 41 963da34cHard
- Question 42 968e9e51Medium
- Question 43 9e5863bdEasy
- Question 44 a049f400Hard
- Question 45 b31c3117Medium
- Question 46 b64e2c7fEasy
- Question 47 b75f7812Easy
- Question 48 b78cd5dfMedium
- Question 49 b8e73b5bHard
- Question 50 bf5f80c6Medium
- Question 51 c17d9ba9Medium
- Question 52 c41e5688Medium
- Question 53 c50ede6dEasy
- Question 54 c9355decEasy
- Question 55 cfe67646Easy
- Question 56 d02193fbMedium
- Question 57 d8539e09Hard
- Question 58 d914abecMedium
- Question 59 d9733ed9Medium
- Question 60 dd875c97Medium
- Question 61 df32b09cEasy
- Question 62 e006209cEasy
- Question 63 e723bd67Medium
- Question 64 e744499eEasy
- Question 65 e8f9e117Hard
- Question 66 e8fd6d99Medium
- Question 67 e9ef0e6bMedium
- Question 68 ecca0603Medium
- Question 69 ee2f611fHard
- Question 70 ee439cffEasy
- Question 71 ee7b1de1Hard
- Question 72 f01ef454Easy
- Question 73 f02b4509Medium
- Question 74 f224df07Medium
- Question 75 f2bbd43dMedium
- Question 76 f8ff3249Hard
- Question 77 fbd5483fHard
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