Free Printable WorksheetMathAlgebra IMath CurriculumA-REI.5–6

ALG1.58 Systems by Elimination Worksheet

Download our free printable Algebra I Math worksheet on ALG1.58 Systems by Elimination. 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 Systems by Elimination Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.58 Systems by Elimination. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.58 Systems by Elimination - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the correct solution to systems of two linear equations using elimination; Choose multipliers strategically to eliminate a variable efficiently. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3. 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 ALG1.58 Systems by Elimination skill assessments:

Problem 1Difficulty: Mastery
Which signed scaling step creates opposite y-coefficients in Eq 1: -7x - 4y = 106; Eq 2: 13x - 10y = -40 while keeping Equation 1's multiplier positive?
AMultiply Equation 1 by 5 and Equation 2 by 2
BMultiply Equation 1 by -2 and Equation 2 by 5
CMultiply Equation 1 by 5 and Equation 2 by -2
DMultiply Equation 1 by 2 and Equation 2 by -5
Solution & Explanation:The y-coefficients are -4 and -10, whose least common multiple in absolute value is 20. Multiplying Equation 1 by 5 and Equation 2 by -2 gives y-coefficients -20 and 20, which add to 0.
Problem 2Difficulty: Mastery
A correct elimination setup for Eq 1: -10x + 12y = 104; Eq 2: 3x + 8y = -8 must make the y-terms sum to zero. Which option does that with a positive Equation 1 multiplier?
AMultiply Equation 1 by 2 and Equation 2 by 3
BMultiply Equation 1 by 2 and Equation 2 by -3
CMultiply Equation 1 by -3 and Equation 2 by 2
DMultiply Equation 1 by 3 and Equation 2 by -2
Solution & Explanation:The y-coefficients are 12 and 8, whose least common multiple in absolute value is 24. Multiplying Equation 1 by 2 and Equation 2 by -3 gives y-coefficients 24 and -24, which add to 0.
Problem 3Difficulty: Mastery
For Eq 1: -5x - 13y = -143; Eq 2: 4x - 7y = 10, identify the smallest signed multipliers that eliminate x when the equations are added and Equation 1's multiplier is positive.
AMultiply Equation 1 by 4 and Equation 2 by 5
BMultiply Equation 1 by 5 and Equation 2 by 4
CMultiply Equation 1 by 4 and Equation 2 by -5
DMultiply Equation 1 by 5 and Equation 2 by -4
Solution & Explanation:The x-coefficients are -5 and 4, whose least common multiple in absolute value is 20. Multiplying Equation 1 by 4 and Equation 2 by 5 gives x-coefficients -20 and 20, which add to 0.

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 ALG1.58 Systems by Elimination 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 ALG1.58 Systems by Elimination 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 ALG1.58 Systems by Elimination online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG1.58 Systems by Elimination 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 A-REI.5–6 (Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the correct solution to systems of two linear equations using elimination; Choose multipliers strategically to eliminate a variable efficiently. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 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