Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a polynomials quiz? Then this Algebra 1 quiz on Combining and Multiplying Polynomials asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on polynomials. Each question has one correct option and three distractors based on common mistakes. Read the short explanation after each answer.
Standards: A-APR.A.1, A-SSE.A.2 · Level: Grade 9 Algebra 1
What this Combining and Multiplying Polynomials quiz checks
- The degree is the highest power; standard form lists powers from high to low.
- Like terms have the same variable raised to the same power.
- When subtracting, change the sign of every term in the second polynomial.
- (a + b)² = a² + 2ab + b² and (a + b)(a − b) = a² − b².
- Polynomials are closed under addition, subtraction and multiplication.
The 10 questions of the quiz
- What is the degree of 4x³ − x⁵ + 2x?
- Simplify (3x² + 2x) + (x² − 5x).
- Simplify (5x − 4) − (2x − 7).
- Multiply (x + 6)(x − 2).
- Expand (2x + 3)².
- Multiply (6x + 7)(6x − 7).
- A garden bed is cut into four regions with areas x², 5x, 3x and 15, as shown.Which polynomial gives the total area?
- The area model shows a square split into x², 3x, 3x and 9.Which expression gives its area?
- Which operation on x always gives a polynomial?
- What is the value of 2x² − 5x + 1 when x = −3?
After the quiz
Missed a question? Reread the Combining and Multiplying Polynomials lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Combining and Multiplying Polynomials, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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