Free · Printable · TEKS 3.5A,3.5B,3.5D,3.5E

Free Grade 3 Algebraic Reasoning & Patterns Worksheets

991+ Texas TEKS-aligned practice questions on algebraic reasoning & patterns. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.

Looking for algebraic reasoning & patterns worksheets for Grade 3? This page has 991+ TEKS-aligned practice questions on this exact topic, mapped to Texas TEKS 3.5A,3.5B,3.5D,3.5E. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.

Represent and solve problems with equations, and identify number patterns.

Below: a sample of 8 questions with answers and explanations so you can see what's on the worksheet before you print. Each question has the correct choice marked and a one-line "why" so kids who get it wrong understand the fix.

What number makes this equation true? □ + 17 = 45

  1. 29
  2. 30
  3. 28
  4. 27

Why: Use the inverse: 45 − 17 = 28. Check: 28 + 17 = 45. ✓

37 take away what number gives 17?

  1. 22
  2. 20
  3. 21
  4. 19

Why: Subtract: 37 − 17 = 20.

17 − 6 = ?

  1. 12
  2. 11
  3. 13
  4. 10

Why: Subtract: 17 − 6 = 11.

Find the missing number: ? + 82 = 144

  1. 63
  2. 64
  3. 62
  4. 61

Why: Subtract: 144 − 82 = 62.

What number makes this true? 50 + ? = 89

  1. 39
  2. 40
  3. 38
  4. 41

Why: Subtract: 89 − 50 = 39.

What number makes this true? 57 + ? = 108

  1. 52
  2. 51
  3. 53
  4. 50

Why: Subtract: 108 − 57 = 51.

77 + ? = 105. What number goes in the box?

  1. 29
  2. 27
  3. 30
  4. 28

Why: Subtract: 105 − 77 = 28.

What number makes this true? 72 + ? = 96

  1. 24
  2. 26
  3. 23
  4. 25

Why: Subtract: 96 − 72 = 24.

Common questions

Are these worksheets really free?

Yes. Free to print, free to practice online. No email, no sign-up, no paywall. We make money from optional paid features (toy redemption with real cents), not from the worksheets.

What is TEKS 3.5A,3.5B,3.5D,3.5E?

TEKS 3.5A,3.5B,3.5D,3.5E is the Grade 3 Algebraic Reasoning & Patterns standard from the Texas Essential Knowledge and Skills. Represent and solve problems with equations, and identify number patterns.

How many total questions are available?

991+ questions in our Grade 3 Algebraic Reasoning & Patterns bank. Print as many 20-question worksheets as you like — each one pulls a fresh set so your kid doesn't see the same questions twice.

Where do these questions come from?

Generated by our AI pipeline, then quality-gated by two independent models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 3.5A,3.5B,3.5D,3.5E and modeled on real STAAR item shapes.