Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.1–2

ALG1.42 Function Definition and Function Notation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.42 Function Definition and Function Notation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.42 Function Definition and Function Notation - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.1–2. Skill statement in this prompt cell: Select the definition that describes a function and distinguish functions from general relations; Select the option that shows how to use function notation to evaluate and interpret f(x) in context. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.1–2; TEKS: §111.39(c)(3)(C), (5) (key features/graphs); VA SOL: A.F.1 g–h; FL B.E.S.T.: MA.912.F.1.1–1.3; NY-NGLS: AI-F.IF.1–2; CA CCSSM: F-IF.1–2; MA 2017: HS.F-IF.1–2; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra I

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG1.42 Function Definition and Function Notation skill assessments:

Problem 1Difficulty: Mastery
The function N(w) = 3w + 10 gives the number of notebooks after w weeks. Which explanation matches N(7) = 31?
AThe input is 31 weeks and the output is 7 notebooks.
BThe function name is 7 and the input is N.
CAfter 7 weeks, the number of notebooks is 31.
DThe expression means 7 times N equals 31.
Solution & Explanation:The input is w = 7 weeks, and the output is N(7) = 31 notebooks.
Problem 2Difficulty: Mastery
The relation {(1, 4), (2, 5), (1, 6)} is not a function. Which restriction would make it a function without changing the ordered pairs that remain?
ARemove one of the pairs with input 1.
BChange both outputs to 5.
CAdd a fourth pair with input 1.
DRename the relation with a capital letter.
Solution & Explanation:The conflict is input 1 having two outputs. Removing one of those pairs leaves each remaining input with one output.
Problem 3Difficulty: Mastery
If f(x) = 2x - 7 and g(x) = x + 9, what is f(g(0))?
Solution & Explanation:First find g(0) = 0 + 9 = 9. Then f(g(0)) = f(9) = 2(9) - 7 = 11.

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Frequently Asked Questions

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QIs this ALG1.42 Function Definition and Function Notation worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice ALG1.42 Function Definition and Function Notation interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard F-IF.1–2 (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.1–2. Skill statement in this prompt cell: Select the definition that describes a function and distinguish functions from general relations; Select the option that shows how to use function notation to evaluate and interpret f(x) in context. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.1–2; TEKS: §111.39(c)(3)(C), (5) (key features/graphs); VA SOL: A.F.1 g–h; FL B.E.S.T.: MA.912.F.1.1–1.3; NY-NGLS: AI-F.IF.1–2; CA CCSSM: F-IF.1–2; MA 2017: HS.F-IF.1–2; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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