Free · Printable · TEKS 4.5A,4.5B
Free Grade 4 Algebraic Patterns & Input-Output Worksheets
2+ Texas TEKS-aligned practice questions on algebraic patterns & input-output. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for algebraic patterns & input-output worksheets for Grade 4? This page has 2+ TEKS-aligned practice questions on this exact topic, mapped to Texas TEKS 4.5A,4.5B. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.
Represent multi-step 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.
If the rule is multiply by 4 then add 1, what is the output for input 6?
- 10
- 24
- 25 ✓
- 28
Why: 6 × 4 = 24, then 24 + 1 = 25.
Maria bought 3 books for $8 each and a magazine for $4. Which equation finds her total t?
- t = 3 + 8 + 4
- t = 3 × 8 − 4
- t = (3 × 8) + 4 ✓
- t = 3 × (8 + 4)
Why: 3 books at $8 = 3 × 8, then add the $4 magazine.
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 4.5A,4.5B?
TEKS 4.5A,4.5B is the Grade 4 Algebraic Patterns & Input-Output standard from the Texas Essential Knowledge and Skills. Represent multi-step problems with equations and identify number patterns.
How many total questions are available?
2+ questions in our Grade 4 Algebraic Patterns & Input-Output 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 4.5A,4.5B and modeled on real STAAR item shapes.