Linear Equations In Two Variables: SAT Practice Questions

130 official Linear Equations In Two Variables 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 Two Variables test on the SAT?

These questions connect equations, graphs, tables, slope, and intercepts for lines in the coordinate plane. You may need to create or interpret a linear model with two variables.

Common question types

  • Find slope or an intercept
  • Write an equation for a line
  • Interpret a point, rate, or coefficient in context

Common traps

  • Reversing rise and run
  • Confusing the x-intercept with the y-intercept
  • Ignoring units when interpreting slope

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy
56
Medium
41
Hard
33
Extreme
0

Featured Linear Equations In Two Variables questions

How do I improve at Linear Equations In Two Variables?

  1. 1Identify two reliable points or the rate and initial value.
  2. 2Translate among table, graph, and equation forms deliberately.
  3. 3Attach contextual units to every slope and intercept interpretation.

Desmos method

Graph the equation and inspect points, intercepts, or a second line. For a table, enter the x- and y-values and use a regression such as y_1 ~ mx_1 + b when a best-fit line is requested.

Related Algebra skills

All 130 official questions

  1. Question 1 002dba45Medium
  2. Question 2 00723d16Hard
  3. Question 3 00b9bd37Medium
  4. Question 4 01682aa5Medium
  5. Question 5 029c2dc2Easy
  6. Question 6 0366d965Hard
  7. Question 7 038d87d7Medium
  8. Question 8 0451d754Medium
  9. Question 9 05bb1af9Hard
  10. Question 10 0b46bad5Hard
  11. Question 11 0d1b1e35Medium
  12. Question 12 107d0c62Hard
  13. Question 13 1087f6c4Medium
  14. Question 14 10c448d6Easy
  15. Question 15 12ae3452Easy
  16. Question 16 174885f8Easy
  17. Question 17 184ce5aaHard
  18. Question 18 1a1a95deHard
  19. Question 19 1efd8202Easy
  20. Question 20 1fe778dcEasy
  21. Question 21 24854644Easy
  22. Question 22 2554b413Easy
  23. Question 23 265f2a53Medium
  24. Question 24 2d0e13a6Easy
  25. Question 25 2d54c272Hard
  26. Question 26 2e0290c3Medium
  27. Question 27 2e1a7f66Medium
  28. Question 28 3008cfc3Hard
  29. Question 29 39571c77Easy
  30. Question 30 39617468Easy
  31. Question 31 3c03cbd8Medium
  32. Question 32 3cdbf026Hard
  33. Question 33 400798d6Medium
  34. Question 34 431c3038Medium
  35. Question 35 4722abd2Medium
  36. Question 36 483d208dMedium
  37. Question 37 49800634Hard
  38. Question 38 4acd05cdEasy
  39. Question 39 4d8ccb96Easy
  40. Question 40 4edecdbaEasy
  41. Question 41 51568fb9Medium
  42. Question 42 52a8ef85Easy
  43. Question 43 535fa6e6Easy
  44. Question 44 5518885dEasy
  45. Question 45 5b7599a6Hard
  46. Question 46 5b8a8475Easy
  47. Question 47 606cdce7Medium
  48. Question 48 62ef6f73Medium
  49. Question 49 637022d2Medium
  50. Question 50 63be6c9aMedium
  51. Question 51 686b7244Hard
  52. Question 52 6a12efbbEasy
  53. Question 53 6d8ad460Hard
  54. Question 54 6f6dfe3eHard
  55. Question 55 6fa1dc0fEasy
  56. Question 56 7038b587Easy
  57. Question 57 7625073dMedium
  58. Question 58 768b2425Easy
  59. Question 59 768f3b7cHard
  60. Question 60 789975b7Easy
  61. Question 61 80ae6851Easy
  62. Question 62 820ad8e8Easy
  63. Question 63 8368afd1Easy
  64. Question 64 83f2c3bfEasy
  65. Question 65 87322577Easy
  66. Question 66 8a1544f1Easy
  67. Question 67 8adf1335Easy
  68. Question 68 8b2a2a63Easy
  69. Question 69 8c98c834Easy
  70. Question 70 8da536c6Easy
  71. Question 71 92aa3a94Medium
  72. Question 72 94b48cbfHard
  73. Question 73 98d3393aHard
  74. Question 74 99ea3715Medium
  75. Question 75 9aaf7786Medium
  76. Question 76 9b0a4eaeMedium
  77. Question 77 9bbce683Hard
  78. Question 78 9c7741c6Medium
  79. Question 79 9d0396d4Hard
  80. Question 80 9ed4c1a2Medium
  81. Question 81 9f3cb472Medium
  82. Question 82 9f70fd47Hard
  83. Question 83 a04190b7Medium
  84. Question 84 a1fd2304Hard
  85. Question 85 a35c7164Hard
  86. Question 86 a4989860Medium
  87. Question 87 a7a14e87Hard
  88. Question 88 b23bba4cEasy
  89. Question 89 b2845d88Easy
  90. Question 90 b2de69bdEasy
  91. Question 91 b450ab03Easy
  92. Question 92 b52e5b6fEasy
  93. Question 93 b8fa27dbEasy
  94. Question 94 b9835972Hard
  95. Question 95 b9839f9eEasy
  96. Question 96 ba79f10fEasy
  97. Question 97 bbb0359aMedium
  98. Question 98 c307283cMedium
  99. Question 99 c362c210Hard
  100. Question 100 c39dbbdfMedium
  101. Question 101 c4ea43efHard
  102. Question 102 c5479c1aEasy
  103. Question 103 c5e38487Medium
  104. Question 104 c6b151d4Easy
  105. Question 105 c8e0f511Easy
  106. Question 106 ca452900Medium
  107. Question 107 cb58833cHard
  108. Question 108 cc3e9528Hard
  109. Question 109 cc7ffe02Hard
  110. Question 110 cea27ab2Easy
  111. Question 111 d0e614a6Hard
  112. Question 112 d1042cf8Easy
  113. Question 113 d62ad380Medium
  114. Question 114 d7c8ba0bMedium
  115. Question 115 db0107dfEasy
  116. Question 116 db422e7fHard
  117. Question 117 dd797fe2Easy
  118. Question 118 deee9063Easy
  119. Question 119 df78b361Medium
  120. Question 120 dfa45424Easy
  121. Question 121 e0f59119Medium
  122. Question 122 e7343559Easy
  123. Question 123 ebf8d2b7Easy
  124. Question 124 ed856e9cEasy
  125. Question 125 ee846db7Easy
  126. Question 126 eeebe166Easy
  127. Question 127 f40552a9Easy
  128. Question 128 f81a0503Medium
  129. Question 129 fb43b85fMedium
  130. Question 130 fdee0fbfHard

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