Equivalent Expressions: SAT Practice Questions
114 official Equivalent Expressions questions (Advanced Math) 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 Equivalent Expressions test on the SAT?
Equivalent Expressions questions test whether algebraic forms represent the same quantity for every allowed input. Factoring, expanding, exponent rules, and rational expressions are central.
Common question types
- Factor or expand a polynomial
- Rewrite an expression to reveal a requested feature
- Match an expression to an equivalent form
Common traps
- Applying an exponent across addition
- Canceling terms instead of common factors
- Stopping at a true rewrite that does not reveal the requested value
Difficulty distribution
Start with the easier questions, then work toward the highest score bands.
- Easy
- 42
- Medium
- 38
- Hard
- 34
- Extreme
- 0
Featured Equivalent Expressions questions
How do I improve at Equivalent Expressions?
- 1Identify the target form before manipulating the expression.
- 2Factor completely before canceling.
- 3Check equivalence with expansion or two safe test values.
Desmos method
Graph y = original expression and y = proposed expression. If the graphs coincide across their shared domain, the forms are equivalent; use a difference expression to verify that it equals zero.
Related Advanced Math skills
All 114 official questions
- Question 1 00165291Hard
- Question 2 02489d55Easy
- Question 3 0354c7deEasy
- Question 4 04887c7bMedium
- Question 5 0536ad4fEasy
- Question 6 075b29b0Easy
- Question 7 0b3d25c5Medium
- Question 8 127b2759Easy
- Question 9 12e7faf8Hard
- Question 10 137cc6fdHard
- Question 11 16de54c7Medium
- Question 12 18c7c3e0Easy
- Question 13 1be909aaMedium
- Question 14 1d3fee25Easy
- Question 15 1dd13816Medium
- Question 16 1e7a1debMedium
- Question 17 1e8d7183Easy
- Question 18 20291f47Hard
- Question 19 2289b199Hard
- Question 20 22fd3e1fHard
- Question 21 24016deeMedium
- Question 22 253985c2Easy
- Question 23 26e83bbcMedium
- Question 24 26eb61c1Medium
- Question 25 290cdc2cMedium
- Question 26 294db8ecEasy
- Question 27 2c88af4dHard
- Question 28 3206b905Medium
- Question 29 34847f8aHard
- Question 30 371cbf6bHard
- Question 31 38c90632Hard
- Question 32 3e9cc0c2Medium
- Question 33 40c09d66Hard
- Question 34 42c71eb5Medium
- Question 35 42f19012Medium
- Question 36 42f8e4b4Hard
- Question 37 433184f1Hard
- Question 38 463eec13Medium
- Question 39 482a445bMedium
- Question 40 499cb491Easy
- Question 41 49efde89Easy
- Question 42 4a5af623Easy
- Question 43 4ac59df6Easy
- Question 44 4eaf0a3aMedium
- Question 45 50338a48Easy
- Question 46 508344acEasy
- Question 47 52931bfaMedium
- Question 48 5355c0efHard
- Question 49 565428e1Hard
- Question 50 5805e747Medium
- Question 51 5b6af6b1Easy
- Question 52 5d93c782Easy
- Question 53 5dd53f73Easy
- Question 54 60fdb4d4Easy
- Question 55 67e866b5Easy
- Question 56 6d04c89dMedium
- Question 57 6e06a0a7Easy
- Question 58 70482e20Easy
- Question 59 72ebc024Easy
- Question 60 7348f046Medium
- Question 61 7355b9d9Hard
- Question 62 772de699Easy
- Question 63 8452c42bEasy
- Question 64 8838a672Medium
- Question 65 89fc23afHard
- Question 66 8f82ad81Easy
- Question 67 911c415bHard
- Question 68 91aa9aa9Easy
- Question 69 967ef685Hard
- Question 70 974d33dcEasy
- Question 71 9ed9f54dEasy
- Question 72 a05bd3a4Medium
- Question 73 a0b4103eHard
- Question 74 a1bf1c4eMedium
- Question 75 a255ae72Medium
- Question 76 a391ed22Medium
- Question 77 a520ba07Medium
- Question 78 ad038c19Hard
- Question 79 ad2ec615Medium
- Question 80 b47419f4Medium
- Question 81 b4a6ed81Medium
- Question 82 b74f2febHard
- Question 83 b8caaf84Medium
- Question 84 bdb0aa23Easy
- Question 85 beb86a0cEasy
- Question 86 c3a72da5Medium
- Question 87 c3b116d7Hard
- Question 88 c602140fMedium
- Question 89 c6e85cd7Hard
- Question 90 c81b6c57Hard
- Question 91 c8a5c221Hard
- Question 92 cc776a04Medium
- Question 93 d4d513ffEasy
- Question 94 d8789a4cHard
- Question 95 d9137a84Hard
- Question 96 dc67c130Easy
- Question 97 dd4ab4c4Medium
- Question 98 df0ef054Easy
- Question 99 df747160Easy
- Question 100 e117d3b8Hard
- Question 101 e312081bEasy
- Question 102 e51bf5b1Hard
- Question 103 e597050fEasy
- Question 104 ea6d05bbHard
- Question 105 efc469c4Hard
- Question 106 f237ccfcMedium
- Question 107 f5c3e3b8Easy
- Question 108 f8871ccdMedium
- Question 109 f89e1d6fHard
- Question 110 fb96a5b3Easy
- Question 111 fd4b2aa0Easy
- Question 112 fd65f47fEasy
- Question 113 fde6f3bbMedium
- Question 114 ffdbcad4Hard
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