Linear Equations In One Variable: SAT Practice Questions
112 official Linear Equations In One Variable 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 Equations In One Variable test on the SAT?
These questions model or solve relationships with one unknown and a constant rate of change. They test equation setup, equivalent transformations, and interpretation of the solution in context.
Common question types
- Solve a linear equation
- Build an equation from a word problem
- Determine when an equation has one, zero, or infinitely many solutions
Common traps
- Distributing a negative sign incorrectly
- Solving correctly but reporting the wrong quantity
- Treating a no-solution or identity equation as a numeric answer
Difficulty distribution
Start with the easier questions, then work toward the highest score bands.
- Easy
- 64
- Medium
- 28
- Hard
- 20
- Extreme
- 0
Featured Linear Equations In One Variable questions
How do I improve at Linear Equations In One Variable?
- 1Define the variable and its units before writing an equation.
- 2Keep both sides balanced through each operation.
- 3Substitute the result into the original relationship and answer the question asked.
Desmos method
Enter the left and right sides as separate functions, such as y = left side and y = right side. Their intersection's x-coordinate is the solution; parallel lines show no solution and identical lines show infinitely many.
Related Algebra skills
All 112 official questions
- Question 1 018a2704Medium
- Question 2 0393ba15Hard
- Question 3 05417146Easy
- Question 4 088bc84eMedium
- Question 5 097e10f5Easy
- Question 6 0adbe034Easy
- Question 7 0cb57740Hard
- Question 8 0d685865Easy
- Question 9 12255364Easy
- Question 10 12b04e68Easy
- Question 11 12ee1edcMedium
- Question 12 153ee763Hard
- Question 13 15daa8d6Medium
- Question 14 1ce51655Medium
- Question 15 23758540Easy
- Question 16 25e1cfedHard
- Question 17 2937ef4fHard
- Question 18 2e8cc1c0Easy
- Question 19 2e98b1dfEasy
- Question 20 2f0a43b2Easy
- Question 21 349a5bc1Easy
- Question 22 36ab4122Medium
- Question 23 38bf4e04Hard
- Question 24 3c4ce699Easy
- Question 25 3d04de9cEasy
- Question 26 3f8a701bHard
- Question 27 40049d49Medium
- Question 28 40ba6288Easy
- Question 29 429fb7c0Hard
- Question 30 45bba652Medium
- Question 31 465c73adEasy
- Question 32 46f68129Easy
- Question 33 4771a64aHard
- Question 34 49cd76d5Easy
- Question 35 4de87c9aEasy
- Question 36 4e77195bEasy
- Question 37 4f669597Medium
- Question 38 4f7981a0Easy
- Question 39 4f8bd093Easy
- Question 40 51aabd93Easy
- Question 41 550b352cEasy
- Question 42 55ea0659Hard
- Question 43 56e1b09eEasy
- Question 44 56e373b3Easy
- Question 45 590f2187Easy
- Question 46 59afe8dbEasy
- Question 47 5a7ab8e8Medium
- Question 48 5ab9903fMedium
- Question 49 5ad9eff0Medium
- Question 50 5c94e6faEasy
- Question 51 5eb4918dEasy
- Question 52 60f71697Easy
- Question 53 6105234dEasy
- Question 54 620abf36Medium
- Question 55 628300a9Hard
- Question 56 69f609b2Hard
- Question 57 6ac23de7Easy
- Question 58 6fa593f1Easy
- Question 59 70774aa4Easy
- Question 60 70e29454Medium
- Question 61 7392dfc1Easy
- Question 62 76f29fa5Medium
- Question 63 771bd0caHard
- Question 64 79cf8505Easy
- Question 65 7a5a74a6Medium
- Question 66 7a987ae4Easy
- Question 67 7d5d1b32Hard
- Question 68 8339793cEasy
- Question 69 83fb222dEasy
- Question 70 87071893Easy
- Question 71 8c515062Medium
- Question 72 935f3403Easy
- Question 73 93954cfaEasy
- Question 74 997bec28Easy
- Question 75 9b886541Easy
- Question 76 9d4270feMedium
- Question 77 9fc31513Easy
- Question 78 9ff10b3bEasy
- Question 79 a9c04a21Easy
- Question 80 aa85b138Medium
- Question 81 ac472881Hard
- Question 82 aee9fd2dHard
- Question 83 b4553284Easy
- Question 84 b7e6394dHard
- Question 85 b82a943cEasy
- Question 86 baca4a4cEasy
- Question 87 bf749912Medium
- Question 88 c3989ef8Easy
- Question 89 c7d7980eEasy
- Question 90 c841e8e8Easy
- Question 91 ce314070Medium
- Question 92 ce6b52d8Medium
- Question 93 d0a2fed5Medium
- Question 94 d76ab4f5Easy
- Question 95 d9d83c02Easy
- Question 96 da2e9202Easy
- Question 97 e53870b6Easy
- Question 98 e6cb2402Hard
- Question 99 e7b6f0d1Easy
- Question 100 eac739b2Easy
- Question 101 eafdbbbdMedium
- Question 102 ed18c4f7Easy
- Question 103 f09097b1Medium
- Question 104 f14484a5Hard
- Question 105 f2b63f49Easy
- Question 106 f305b5caEasy
- Question 107 f5ff91b2Hard
- Question 108 f60aa0dcMedium
- Question 109 f8fa0cf0Medium
- Question 110 fa80893aEasy
- Question 111 fbb0ea7fEasy
- Question 112 feb78194Medium
Done with the official Linear Equations In One Variable questions?
Practice fresh CookSAT-written questions on this exact skill, with mastery tracking and a predicted score.
Practice similar questions