Structure of Expressions and Modeling Quiz – Algebra 2 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: A-SSE.A.1, A-SSE.A.2, A-CED.A.1, A-CED.A.2, A-CED.A.3, A-CED.A.4, A-REI.D.11, A-APR.C.5, N-CN.C.8, N-CN.C.9 · Level: Grade 11 Algebra 2

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What this Structure, Identities and Modeling with Equations quiz checks

• Factor x⁴ − y⁴ by applying the difference of squares twice.
• x² + a² = (x + ai)(x − ai) over the complex numbers.
• Row n of Pascal's triangle gives the coefficients of (a + b)ⁿ.
• Constraints, such as lengths being positive, limit the solutions of a model.
• Solutions of f(x) = g(x) are the x-coordinates where the graphs intersect.

The 10 questions of the quiz

1. Which is the complete factorization of x⁴ − 1 over the real numbers?
2. Over the complex numbers, x² + 36 equals
3. What is the coefficient of x² in (x + 1)⁴?
4. Which row of Pascal’s triangle gives the coefficients of (a + b)⁵? See the triangle.
5. Solve P = 2(l + w) for w.
6. The graphs of f and g cross at (−1, 0) and (4, 5). What are the solutions of f(x) = g(x)?
7. A model V = 900(0.9)^t describes a falling price. What does 0.9 mean?
8. A rectangle has perimeter 30 and width w. Which expression is its area?
9. Which is the solution set of x² − 9x + 14 ≤ 0?
10. What is (1 + i)²?

After the quiz

Missed a question? Reread the Structure, Identities and Modeling with Equations lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Structure, Identities and Modeling with Equations, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.