Free Printable WorksheetMathAlgebra IIMath CurriculumMP.5

ALG2.120 Using Technology to Approximate Zeros Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.120 Using Technology to Approximate Zeros. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.120 Using Technology to Approximate Zeros - Primary standard selected for prompt fields in this prompt cell: CCSS MP.5. Skill statement in this prompt cell: Select the correct use of graphing or numeric tools to approximate irrational zeros and confirm approximations by substitution or factoring checks. Associated standards listed with this skill in this prompt cell: CCSS MP.5; A-REI.11; CA CCSSM MP.5; A-REI.11; MA 2017 MP.5; A-REI.11; NY NGLS MP.5; A-REI.11; TX TEKS Algebra II: §111.40. 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 II

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 ALG2.120 Using Technology to Approximate Zeros skill assessments:

Problem 1Difficulty: Mastery
Use a numeric table or zero finder to approximate the zero of f(x) = x3 - 3x2 - x + 2 that is closest to 0.75. Round to the nearest hundredth.
Solution & Explanation:One zero is about 0.7459. Rounded to the nearest hundredth, the zero closest to 0.75 is 0.75.
Problem 2Difficulty: Mastery
Which technology choice helps avoid confusing a local maximum or minimum with a zero?
AUse the maximum/minimum tool and report every turning point as a zero
BRecord only the vertex coordinates
CUse the zero or intersection tool at points where the graph meets the x-axis, then confirm f(x) is close to 0
DUse the table only at x = 0
Solution & Explanation:Extrema are turning points, not necessarily zeros. A zero or intersection tool targets the x-axis, and substitution confirms the output is near 0.
Problem 3Difficulty: Mastery
Which complete solution report is best for f(x) = x4 - 3x3 - 4x2 + 6x + 3 = 0?
AZeros are about -1.49 and 3.58 only because they are farthest apart
BZeros are about -1.49, -0.42, 1.33, and 3.58; substitution of rounded values gives outputs near 0
CThe only zero is the y-intercept 3
DThe zeros are exactly the rounded decimals, so checking is unnecessary
Solution & Explanation:A complete technology-supported report includes all four real zeros and a check that the rounded values produce small residuals.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard MP.5 (Primary standard selected for prompt fields in this prompt cell: CCSS MP.5. Skill statement in this prompt cell: Select the correct use of graphing or numeric tools to approximate irrational zeros and confirm approximations by substitution or factoring checks. Associated standards listed with this skill in this prompt cell: CCSS MP.5; A-REI.11; CA CCSSM MP.5; A-REI.11; MA 2017 MP.5; A-REI.11; NY NGLS MP.5; A-REI.11; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.).

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