Algebra 1 Adding, Subtracting and Multiplying Polynomials Test with Point Values (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.
Time and points
- 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]
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]
- Expand \((x + 9)^{2}\). (1 point)
- Multiply \((x – 6)(x + 6)\). (1 point)
- Explain why \((x + 9)^{2}\) is not \(x^{2} + 81\). (1 point)
Question 8 – Rectangle area [3 pts]
A rectangle has length \(x + 7\) and width \(x + 2\).
- Write its area as a polynomial in standard form. (2 points)
- 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?
Key facts behind this algebra 1 polynomial operations test
- 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.
All Algebra 1 chapters: Algebra 1 math.
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Algebra 1 Adding, Subtracting and Multiplying Polynomials Test with Point Values
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