Linear Functions: SAT Practice Questions
163 official Linear Functions 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 Functions test on the SAT?
Linear Functions questions focus on constant rate of change, function notation, and how a line's equation or graph changes. They often ask for a value, rule, or interpretation rather than simply solving an equation.
Common question types
- Evaluate or define a linear function
- Compare rates of change
- Describe a translation or parameter change
Common traps
- Treating f(x) as multiplication
- Confusing input and output values
- Misreading how a coefficient changes slope or intercept
Difficulty distribution
Start with the easier questions, then work toward the highest score bands.
- Easy
- 79
- Medium
- 53
- Hard
- 31
- Extreme
- 0
Featured Linear Functions questions
How do I improve at Linear Functions?
- 1Translate function notation into input-output language.
- 2Find the constant change before choosing a formula.
- 3Check the rule with a known point from the graph, table, or context.
Desmos method
Graph the function and use point evaluation, intersections, or sliders for unknown parameters. A table is often the fastest way to compare outputs at specified inputs.
Related Algebra skills
All 163 official questions
- Question 1 023c0a8dHard
- Question 2 042aa429Medium
- Question 3 06fc1726Easy
- Question 4 0b0fa68bHard
- Question 5 0b332f00Easy
- Question 6 0bd33265Hard
- Question 7 0c490cd5Easy
- Question 8 0cadb20eMedium
- Question 9 0d391910Easy
- Question 10 0d5495a6Medium
- Question 11 0d6ab461Easy
- Question 12 0ea7ef01Easy
- Question 13 0eae6be1Easy
- Question 14 113b938eMedium
- Question 15 11e1ab81Medium
- Question 16 12983c1eEasy
- Question 17 13294295Easy
- Question 18 13909d78Easy
- Question 19 1480dd5cMedium
- Question 20 16889ef3Hard
- Question 21 17d80dc3Medium
- Question 22 1993561dEasy
- Question 23 1a2a0f59Hard
- Question 24 1bc11c4eMedium
- Question 25 1c29bfd1Medium
- Question 26 1d18794bEasy
- Question 27 1ecaa9c0Easy
- Question 28 1f0966dbMedium
- Question 29 23c5d458Medium
- Question 30 23deddddMedium
- Question 31 2493c767Medium
- Question 32 255996a6Easy
- Question 33 27198699Easy
- Question 34 271f7e3fMedium
- Question 35 295a41f0Hard
- Question 36 2b15d65fHard
- Question 37 2e379126Easy
- Question 38 2ecce641Easy
- Question 39 2eef7e61Easy
- Question 40 2f34cd1cMedium
- Question 41 3122fc7bHard
- Question 42 3174f07dEasy
- Question 43 33e4af6bEasy
- Question 44 343aaff6Easy
- Question 45 3462d850Easy
- Question 46 346d5c2eEasy
- Question 47 361f97c7Easy
- Question 48 3a3b95dfEasy
- Question 49 3ce92ce8Medium
- Question 50 3d1070c9Easy
- Question 51 3dffe9d2Easy
- Question 52 3e9eaffcMedium
- Question 53 3f5375d9Easy
- Question 54 415ab1d2Hard
- Question 55 41fdc0b8Medium
- Question 56 441558e7Easy
- Question 57 447fa970Easy
- Question 58 4702da8fEasy
- Question 59 4b0c156bMedium
- Question 60 4e97f862Easy
- Question 61 4f89e4d4Easy
- Question 62 4fe4fd7cMedium
- Question 63 50f4cb9cHard
- Question 64 520c8177Easy
- Question 65 53487897Medium
- Question 66 548a4929Medium
- Question 67 56dc8045Medium
- Question 68 5907e072Easy
- Question 69 590d662dHard
- Question 70 5ad6bc97Easy
- Question 71 5cf1bbc9Medium
- Question 72 620fe971Medium
- Question 73 63d03c0bHard
- Question 74 67d63e19Hard
- Question 75 6863c7ceEasy
- Question 76 68f343c9Medium
- Question 77 6989c80aHard
- Question 78 6c5c2a81Medium
- Question 79 6efcc0a3Easy
- Question 80 70d9516eEasy
- Question 81 720e51acEasy
- Question 82 73b5f330Easy
- Question 83 776cfa7cEasy
- Question 84 78391fccHard
- Question 85 7b17f86aEasy
- Question 86 7e1bff94Medium
- Question 87 7e3f8363Medium
- Question 88 7fac16fbEasy
- Question 89 81390d6cEasy
- Question 90 84664a7cEasy
- Question 91 8643d906Easy
- Question 92 868fc236Medium
- Question 93 88e13c8cEasy
- Question 94 8a6de407Medium
- Question 95 8ad64841Medium
- Question 96 8c5e6702Hard
- Question 97 930c2990Easy
- Question 98 946ab892Medium
- Question 99 9551cd91Medium
- Question 100 979b0b8dEasy
- Question 101 97eab129Easy
- Question 102 9d9fe1e6Easy
- Question 103 a130fcdcEasy
- Question 104 a1696f3eEasy
- Question 105 a232aa96Easy
- Question 106 a309803eHard
- Question 107 a396ed75Easy
- Question 108 a4d6fbecEasy
- Question 109 a5834ea4Medium
- Question 110 a5882327Hard
- Question 111 a73a5c22Easy
- Question 112 a775af14Medium
- Question 113 a7e2859aHard
- Question 114 a8e6bd75Easy
- Question 115 a9039591Easy
- Question 116 a91a2b75Medium
- Question 117 aad7e1b9Easy
- Question 118 adf60b28Easy
- Question 119 aeaba0b6Easy
- Question 120 af2ba762Hard
- Question 121 af711d1bMedium
- Question 122 b2fe7ab6Medium
- Question 123 b3abf40fHard
- Question 124 b51c173dEasy
- Question 125 b8cbe394Easy
- Question 126 b988eeecHard
- Question 127 bbf9e5ceHard
- Question 128 bc638f2dEasy
- Question 129 bd9eb2b5Easy
- Question 130 be9cb6a2Hard
- Question 131 bf36c815Easy
- Question 132 bf883fdeEasy
- Question 133 c01f4a95Medium
- Question 134 c10ad793Easy
- Question 135 c1bd5301Medium
- Question 136 c22b5f25Medium
- Question 137 c4d49134Easy
- Question 138 c651cc56Medium
- Question 139 c81f1c2fMedium
- Question 140 c8fb6bcbMedium
- Question 141 cee5b352Easy
- Question 142 d0cb49e8Easy
- Question 143 d11910d6Easy
- Question 144 d1f50dbeHard
- Question 145 d4572f55Hard
- Question 146 daad7c32Hard
- Question 147 dae126d7Medium
- Question 148 de6fe450Easy
- Question 149 e103300eHard
- Question 150 e25f0807Hard
- Question 151 e3cf671fMedium
- Question 152 e470e19dMedium
- Question 153 e4a588caEasy
- Question 154 e62cfe5fMedium
- Question 155 e86a06feHard
- Question 156 e9908930Hard
- Question 157 ebd457f4Medium
- Question 158 f0773a55Medium
- Question 159 f79fffbaEasy
- Question 160 f7e39fe9Medium
- Question 161 fc4a0d2aMedium
- Question 162 fe287f7eEasy
- Question 163 fe6f9678Easy
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