Algebra 1 Adding, Subtracting and Multiplying Polynomials Test with Point Values (PDF)

Algebra 1 math test: Adding, Subtracting and Multiplying Polynomials – Maths PDF

This algebra 1 polynomial operations test for Algebra 1 covers adding, subtracting and multiplying polynomials (Common Core A-APR.A.1), with a free PDF to print.

Algebra 1 polynomial operations test (Algebra 1) – first page of the printable PDF
Take this 20-point, 45-minute test to measure your skill with adding, subtracting, and multiplying polynomials (A-APR.A.1). Read each question carefully, show your work, and check units and signs before you move on. If you get stuck, skip the question and return to it at the end.

Time and points

About this test
  • Grade: Algebra 1
  • Chapter: Adding, Subtracting and Multiplying Polynomials
  • Standards: A-APR.A.1
  • Time: 45 minutes
  • Total: 20 points

Algebra 1 polynomial operations test: questions

Question 1 – Name polynomials [2 pts]

PolynomialNameDegree4x⁴ – 7x + 1??9x²??
Classify these polynomials.

Name each polynomial by its number of terms and give its degree.

Question 2 – Add polynomials [2 pts]

Add \((6x^{2} – 3x + 2) + (-2x^{2} + 5x – 7)\).

Question 3 – Subtract polynomials [2 pts]

Subtract \((4x^{2} – x + 9) – (x^{2} + 6x – 3)\).

Question 4 – Monomial times polynomial [2 pts]

Multiply \(2x(x^{2} – 4x + 3)\).

Question 5 – Binomial product [2 pts]

Multiply \((x + 5)(x – 2)\).

Question 6 – FOIL with coefficients [2 pts]

Multiply \((3x – 2)(2x + 5)\).

Question 7 – Special products [3 pts]

PartExpressiona(x + 9)²b(x – 6)(x + 6)
Expressions for question 7.
  1. Expand \((x + 9)^{2}\). (1 point)
  2. Multiply \((x – 6)(x + 6)\). (1 point)
  3. Explain why \((x + 9)^{2}\) is not \(x^{2} + 81\). (1 point)

Question 8 – Rectangle area [3 pts]

x + 7x + 2
Rectangle for question 8.

A rectangle has length \(x + 7\) and width \(x + 2\).

  1. Write its area as a polynomial in standard form. (2 points)
  2. Find the area when \(x = 3\). (1 point)

Question 9 – Closure [2 pts]

Show that \((2x^{2} + x) + (3x^{2} – x)\) is a polynomial. What does this example illustrate about polynomials?

View solution

Key facts behind this algebra 1 polynomial operations test

Key facts
  • The degree of a polynomial is its greatest exponent.
  • Add or subtract by combining like terms; subtracting changes the sign of every term.
  • Multiply by distributing each term, then combine like terms.
  • (a + b)² = a² + 2ab + b² and (a + b)(a – b) = a² – b².
  • The sum, difference, and product of polynomials is a polynomial.

How to use this algebra 1 polynomial operations test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

Prepare for the test

All Algebra 1 chapters: Algebra 1 math.

Voter.. post

Print this page

Download PDFDownload the Algebra 1 Adding, Subtracting and Multiplying Polynomials Test with Point Values (PDF, 83 KB)

More Algebra 1 math

Lessons

See all

Worksheets

See all

Tests

See all

Quizzes

See all