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Free Algebra I Exponents & Polynomials Worksheets
614+ Texas TEKS-aligned practice questions on exponents & polynomials. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for exponents & polynomials worksheets for Algebra I? This page has 614+ 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.
Simplify: (x^6)^2. What is the exponent of x?
- 13
- 14
- 11
- 12 ✓
Why: When raising a power to a power, multiply exponents: 6 × 2 = 12.
Simplify: (x^4)^3. What is the exponent of x?
- 12 ✓
- 11
- 13
- 14
Why: When raising a power to a power, multiply exponents: 4 × 3 = 12.
Expand (x + 5)(x + 6). What is the coefficient of x in the expanded form?
- 11 ✓
- 13
- 10
- 12
Why: Use FOIL: x·x + x·6 + 5·x + 5·6 = x² + 11x + 30. The coefficient of x is 11.
Expand (x − 5)(x − 7). What is the coefficient of x in the expanded form?
- -13
- -10
- -12 ✓
- -11
Why: Use FOIL: x·x + x·-7 + -5·x + -5·-7 = x² + -12x + 35. The coefficient of x is -12.
Expand (x + 4)(x − 3). What is the coefficient of x in the expanded form?
- 2
- 0
- 3
- 1 ✓
Why: Use FOIL: x·x + x·-3 + 4·x + 4·-3 = x² + 1x + -12. The coefficient of x is 1.
Expand (x − 7)(x + 4). What is the coefficient of x in the expanded form?
- -2
- -1
- -4
- -3 ✓
Why: Use FOIL: x·x + x·4 + -7·x + -7·4 = x² + -3x + -28. The coefficient of x is -3.
Factor: 7x² + 28x
- 7(x² + 4x)
- x(7x + 28)
- 7x(x + 4) ✓
- 7x(7x + 4)
Why: The GCF of 7x² and 28x is 7x. Factoring out: 7x(x + 4).
Factor: x² − 1x − 56
- (x − 8)(x + 7) ✓
- (x − 8)(x − 7)
- (x + 8)(x − 7)
- (x + 8)(x + 7)
Why: Find two numbers whose product is -56 and sum is -1: -8 and 7. So x² − 1x − 56 = (x − 8)(x + 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?
614+ questions in our Algebra I Exponents & Polynomials 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.