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Free Grade 8 Linear Equations & Functions Worksheets

1,994+ Texas TEKS-aligned practice questions on linear equations & functions. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.

Looking for linear equations & functions worksheets for Grade 8? This page has 1,994+ TEKS-aligned practice questions on this exact topic. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.

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.

Solve for x: 4x + 18 = 3x + 28

  1. 11
  2. 12
  3. 9
  4. 10

Why: Subtract 3x from both sides: 1x + 18 = 28. Then 1x = 10. Divide by 1: x = 10.

Solve for x: 3x − 10 = 8x + 45

  1. -12
  2. -9
  3. -10
  4. -11

Why: Subtract 8x from both sides: -5x − 10 = 45. Then -5x = 55. Divide by -5: x = -11.

Solve for x: 9x + 3 = 1x + 67

  1. 7
  2. 9
  3. 8
  4. 10

Why: Subtract 1x from both sides: 8x + 3 = 67. Then 8x = 64. Divide by 8: x = 8.

Solve for x: 4x + 5 = 1x + 11

  1. 4
  2. 2
  3. 3
  4. 1

Why: Subtract 1x from both sides: 3x + 5 = 11. Then 3x = 6. Divide by 3: x = 2.

Does the set { (6, 8), (1, -9), (-5, -9), (6, -2) } represent a function?

  1. Yes
  2. No
  3. Cannot tell

Why: Two ordered pairs share the same x-value but different y-values, so this is NOT a function.

Does the set { (-6, 1), (2, 8), (-1, 4), (-6, -5) } represent a function?

  1. Yes
  2. Cannot tell
  3. No

Why: Two ordered pairs share the same x-value but different y-values, so this is NOT a function.

Does the set { (6, -5), (4, -4), (1, -10), (5, 8) } represent a function?

  1. Yes
  2. No
  3. Cannot tell

Why: Each x-value is paired with exactly one y-value, so this IS a function.

Does the set { (1, -2), (-1, 3), (4, -3), (-5, 2) } represent a function?

  1. Cannot tell
  2. Yes
  3. No

Why: Each x-value is paired with exactly one y-value, so this IS a function.

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 TEKS standards does this cover?

This unit aligns to multiple Grade 8 math TEKS standards.

How many total questions are available?

1,994+ questions in our Grade 8 Linear Equations & Functions 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 a specific TEKS standard and modeled on real STAAR item shapes.