Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.4–6

ALG1.113 Solve Equations Using Graphs and Tables Worksheet

Download our free printable Algebra I Math worksheet on ALG1.113 Solve Equations Using Graphs and Tables. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Solve Equations Using Graphs and Tables Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.113 Solve Equations Using Graphs and Tables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.113 Solve Equations Using Graphs and Tables - Select the option that shows how to use graphs and tables to approximate solutions to equations; Select the statement that correctly interprets approximate solutions and explain limits of the approximation. (CCSS: F-IF.4–6; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 a–d; FL B.E.S.T.: MA.912.AR.2.4–2.5, MA.912.F.1.3; NY-NGLS: AI-F.IF.4–6; CA CCSSM: F-IF.4–6; MA 2017: HS.F-IF.4–6; DoDEA CCRSM; NAEP: Algebra—functions and graphs; NCTM P2A: Practices 2, 3.)

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 ALG1.113 Solve Equations Using Graphs and Tables skill assessments:

Problem 1Difficulty: Mastery
On the domain 0<=x<=12, a table comparing |x-5| and 0.25x+1 shows equal values at x=3.2 and x=8. Which statement best solves |x-5|=0.25x+1 on this domain?
Ax=1 is the only solution because it is the y-intercept
BThere are no solutions on the domain
Cx=3.2 and x=8 are solutions in the domain
DOnly x=5 is a solution because it is inside the absolute value
Solution & Explanation:The equation is solved where the two table outputs are equal. Both x=3.2 and x=8 are in the domain 0<=x<=12, so both are solutions.
Problem 2Difficulty: Mastery
For a graph of y=f(x) and y=g(x), which statement correctly distinguishes the solution from the output?
AThe solution is always the y-coordinate of the intersection
BThe solution is the approximate input x-value, while the y-coordinate is the common output
CThe solution is the larger coordinate of the intersection
DThe solution is the graphing window size
Solution & Explanation:The solution to an equation in x is the input value. At the intersection, the y-coordinate tells the shared output, not the solution value itself.
Problem 3Difficulty: Mastery
A table for d(x)=f(x)-g(x) gives x = -5, -4, -3, -2, -1, 0, 1, 2 and d(x) = -2, 1, 2, 0, -1, -2, 1, 2. If d(x) is continuous, which solution information is supported?
AA solution between -5 and -4, a solution at x=-2, and a solution between 0 and 1
BNo solutions because most values are not 0
COnly x=-2
DOnly a solution between -5 and -4
Solution & Explanation:Sign changes indicate solutions between -5 and -4 and between 0 and 1. The table also shows an exact zero at x=-2.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG1.113 Solve Equations Using Graphs and Tables worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this ALG1.113 Solve Equations Using Graphs and Tables worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice ALG1.113 Solve Equations Using Graphs and Tables online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG1.113 Solve Equations Using Graphs and Tables 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.4–6 (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.4–6. Skill statement in this prompt cell: Select the option that shows how to use graphs and tables to approximate solutions to equations; Select the statement that correctly interprets approximate solutions and explain limits of the approximation. Associated standards listed with this skill in the curriculum source: CCSS: F-IF.4–6; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 a–d; FL B.E.S.T.: MA.912.AR.2.4–2.5, MA.912.F.1.3; NY-NGLS: AI-F.IF.4–6; CA CCSSM: F-IF.4–6; MA 2017: HS.F-IF.4–6; DoDEA CCRSM; NAEP: Algebra—functions and graphs; NCTM P2A: Practices 2, 3. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Algebra I Math Resources

Continue learning with complementary skill worksheets and online practice