Worksheetsoperation of functions
Total questions: 9
Name
Class
Date
Answer Keyoperation of functions
Total questions: 9
1.
a) 5n+1
2.
a) x2-2x+6
3.
c) 6x3+12x2-2x-4
4.
a) x2 + 8x + 1
5.
c) 5x2 + 6x - 1
6.
b)
7.
a)
8.
c)
9.
d)
operation of functions
Created by Rosita Acosta-Valle
9 questions
11th - 12th Grade
Math
Updated Apr 2026
Operation of Functions is a Grade 11–12 mathematics worksheet that builds fluency with adding, subtracting, and multiplying functions represented by polynomial expressions. Across 9 multiple-choice questions, students combine expressions such as f(x) and g(x), simplify like terms, distribute factors when multiplying, and identify the resulting polynomial. This free printable worksheet is useful for independent practice, classwork, homework, or a quick check of algebraic accuracy. Its answer key supports efficient review of errors, including incorrect signs, skipped distribution, and combining unlike terms. The questions move between function notation and polynomial operations, helping teachers assess whether students can apply standard algebra procedures in a function context.
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FAQs
What does this operation of functions worksheet cover?
This Grade 11–12 worksheet covers adding, subtracting, and multiplying polynomial functions in function notation. Its 9 multiple-choice questions require students to combine expressions such as f(x) and g(x), distribute factors for products, simplify like terms, and select the resulting polynomial.
How can I use this worksheet to teach operations on functions?
First model one addition or subtraction item by writing the two functions vertically and carefully preserving each term's sign. Then demonstrate a multiplication item by distributing every term before combining like terms, and have students explain why each answer choice is correct or incorrect. Use the worksheet's multiple-choice format for guided practice before assigning the remaining items independently.
What mistakes should I watch for when students complete this worksheet?
Watch for students changing signs incorrectly when subtracting g(x), combining unlike powers such as x and x², or failing to distribute both terms when multiplying two functions. The answer choices also make it easy to spot skipped constant terms and incorrect coefficients, so ask students to show the intermediate polynomial before selecting an option.
How do I assign and grade this operation of functions worksheet?
On Wayground, assign it as a printable PDF or as a digital quiz containing the 9 multiple-choice questions. A complete answer key is included, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.
How can I differentiate this worksheet for my students?
Use the worksheet's Advanced Settings to increase font size or spacing so the function notation, exponents, and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the polynomial-operation questions in their original format.
Where can I find more free worksheets like this on Wayground?
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.