Free · Printable · TEKS-aligned
Free Algebra I Linear Equations, Inequalities & Systems Worksheets
3,961+ Texas TEKS-aligned practice questions on linear equations, inequalities & systems. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for linear equations, inequalities & systems worksheets for Algebra I? This page has 3,961+ 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: 3x + 14 = 7x + 38
- -6 ✓
- -5
- -7
- -4
Why: 3x − 7x = 38 − 14 → -4x = 24 → x = -6.
Solve for x: 6x + 5 = 2x + 17
- 2
- 4
- 3 ✓
- 5
Why: 6x − 2x = 17 − 5 → 4x = 12 → x = 3.
Solve for x: 5x + 19 = 6x + 22
- -4
- -1
- -3 ✓
- -2
Why: 5x − 6x = 22 − 19 → -1x = 3 → x = -3.
Which value of x satisfies the inequality? 3x − 12 < -3
- 4
- 3
- 2 ✓
- 5
Why: Solve: 3x < 9 → x < 3. 2 works.
Solve the system by substitution: y = 2x + 20 2x + 3y = 20 Find x.
- -5 ✓
- -3
- -6
- -4
Why: Substitute y = 2x + 20 into 2x + 3y = 20, solve to get x = -5, y = 10.
Solve the system by substitution: y = 4x − 26 2x + 3y = 6 Find y.
- -1
- 0
- -2 ✓
- -3
Why: Substitute y = 4x − 26 into 2x + 3y = 6, solve to get x = 6, y = -2.
Solve the system by elimination: 1x + 3y = 22 5x + 4y = 44 Find x.
- 5
- 6
- 3
- 4 ✓
Why: Multiply rows to eliminate one variable, then solve. Solution: x = 4, y = 6.
Solve the system by elimination: 1x + 3y = 19 5x + 5y = 25 Find y.
- 8
- 6
- 9
- 7 ✓
Why: Multiply rows to eliminate one variable, then solve. Solution: x = -2, y = 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 Algebra I math TEKS standards.
How many total questions are available?
3,961+ questions in our Algebra I Linear Equations, Inequalities & Systems 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.