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Free Grade 8 Proportional & Linear Relationships Worksheets
2,124+ Texas TEKS-aligned practice questions on proportional & linear relationships. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for proportional & linear relationships worksheets for Grade 8? This page has 2,124+ 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.
What is the slope of the line through (2, 8) and (5, -4)?
- -4 ✓
- -3
- -5
- -2
Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-4 − 8) / (5 − 2) = -12/3 = -4.
Find the slope between the points (-2, 2) and (-4, -12).
- 8
- 6
- 9
- 7 ✓
Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-12 − 2) / (-4 − -2) = -14/-2 = 7.
What is the slope of the line through (1, 11) and (6, -4)?
- -4
- -2
- -3 ✓
- -1
Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-4 − 11) / (6 − 1) = -15/5 = -3.
What is the slope of the line through (7, 1) and (-2, -8)?
- 2
- 0
- 3
- 1 ✓
Why: slope = (y₂ − y₁) / (x₂ − x₁) = (-8 − 1) / (-2 − 7) = -9/-9 = 1.
If y = -6x + b passes through (-1, 0), find b.
- -6 ✓
- -5
- -7
- -4
Why: Substitute: 0 = -6(-1) + b → 0 = 6 + b → b = -6 = -6.
If y = 1x + b passes through (5, 7), find b.
- 1
- 4
- 2 ✓
- 3
Why: Substitute: 7 = 1(5) + b → 7 = 5 + b → b = 2 = 2.
If y = 2x + b passes through (-6, -10), find b.
- 1
- 3
- 2 ✓
- 4
Why: Substitute: -10 = 2(-6) + b → -10 = -12 + b → b = 2 = 2.
If y = 3x + b passes through (5, 8), find b.
- -7 ✓
- -6
- -8
- -5
Why: Substitute: 8 = 3(5) + b → 8 = 15 + b → b = -7 = -7.
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?
2,124+ questions in our Grade 8 Proportional & Linear Relationships 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.