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Free Algebra I Linear Functions Worksheets

2,374+ Texas TEKS-aligned practice questions on linear functions. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.

Looking for linear functions worksheets for Algebra I? This page has 2,374+ 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 between the points (-9, 5) and (-10, -9)?

  1. 16
  2. 14
  3. 15
  4. 13

Why: m = (y₂ − y₁)/(x₂ − x₁) = (-14)/(-1) = 14.

Find the slope of the line through (-8, 3) and (-4, -13).

  1. -4
  2. -5
  3. -2
  4. -3

Why: m = (y₂ − y₁)/(x₂ − x₁) = (-16)/(4) = -4.

What is the slope between the points (-8, -7) and (-10, 7)?

  1. -6
  2. -7
  3. -5
  4. -8

Why: m = (y₂ − y₁)/(x₂ − x₁) = (14)/(-2) = -7.

Find the slope of the line through (3, -3) and (-3, -15).

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

Why: m = (y₂ − y₁)/(x₂ − x₁) = (-12)/(-6) = 2.

Write the equation of the line through (8, 8) and (6, 8) in slope-intercept form. What is the y-intercept b?

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

Why: Slope m = 0. Use y = mx + b: 8 = 0(8) + b → b = 8 = 8.

Write the equation of the line through (3, -1) and (2, 11) in slope-intercept form. What is the y-intercept b?

  1. 36
  2. 35
  3. 37
  4. 34

Why: Slope m = -12. Use y = mx + b: -1 = -12(3) + b → b = 35 = 35.

Write the equation of the line through (-2, 11) and (-6, -9) in slope-intercept form. What is the y-intercept b?

  1. 21
  2. 23
  3. 20
  4. 22

Why: Slope m = 5. Use y = mx + b: 11 = 5(-2) + b → b = 21 = 21.

For the line 6x + 6y = 12, find the y-intercept.

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

Why: Set x = 0: 6y = 12, so y = 2.

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 Algebra I math TEKS standards.

How many total questions are available?

2,374+ questions in our Algebra I Linear 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.