Free Printable WorksheetMathGrade 8Math Curriculum8.EE.C.8a

8.70 Determining Whether an Ordered Pair Is a Solution to a System Worksheet

Download our free printable Grade 8 Math worksheet on 8.70 Determining Whether an Ordered Pair Is a Solution to a System. 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

Download PDFDownload DOCX
Prefer interactive practice with instant grading and explanations?Practice Determining Whether an Ordered Pair Is a Solution to a System Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.70 Determining Whether an Ordered Pair Is a Solution to a System. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.70 Determining Whether an Ordered Pair Is a Solution to a System - Which ordered pair satisfies both equations in the system? (CCSS 8.EE.C.8a; CA 8.EE.C.8a; MA 8.EE.C.8a)

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

Grade 8

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 8.70 Determining Whether an Ordered Pair Is a Solution to a System skill assessments:

Problem 1Difficulty: Hard
Decide whether (7, 8) satisfies each part of the system. Statement 1: x plus y equals 16. Statement 2: y is 16 less than 3 times x. True or False.
ATrue
BFalse
Solution & Explanation:Substitute x = 7 and y = 8 into both statements. For statement 1 (x plus y equals 16), 7 + 8 = 15, so it is false. For statement 2 (y is 16 less than 3 times x), y should be 3(7) - 16 = 5, so it is false. Because at least one statement is false, (7, 8) is not a solution to the system.
Problem 2Difficulty: Hard
Test the choices against the system. Statement 1: x = -1. Statement 2: 2y + 2(x - 1) = -10. Which ordered pair works in both?
A(0, -3)
B(-1, -2)
C(-1, -3)
D(-2, -2)
Solution & Explanation:Substitute x = -1 and y = -3 into both statements. For statement 1 (x = -1), x = -1, so it is true. For statement 2 (2y + 2(x - 1) = -10), 2(-3) + 2(-1 - 1) = -10, so it is true. Because both statements are true, (-1, -3) is a solution to the system.
Problem 3Difficulty: Hard
In a art room inventory, let x represent paint sets and y represent brush packs. Test the answer choices against the system. Statement 1: the sum of x and y is 11. Statement 2: y is 4 less than twice x. Which ordered pair fits?
A(4, 6)
B(5, 6)
C(4, 7)
D(4, 4)
Solution & Explanation:Substitute x = 5 and y = 6 into both statements. For statement 1 (the sum of x and y is 11), 5 + 6 = 11, so it is true. For statement 2 (y is 4 less than twice x), y should be 2(5) - 4 = 6, so it is true. Because both statements are true, (5, 6) is a solution to the system.

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 8.70 Determining Whether an Ordered Pair Is a Solution to a System 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 8.70 Determining Whether an Ordered Pair Is a Solution to a System 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 8.70 Determining Whether an Ordered Pair Is a Solution to a System online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 8.70 Determining Whether an Ordered Pair Is a Solution to a System 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 Grade 8 Math students. It aligns with educational standard 8.EE.C.8a (Primary standard selected for prompt fields: CCSS 8.EE.C.8a. Skill statement: Which ordered pair satisfies both equations in the system? Associated standards listed with this skill: CCSS 8.EE.C.8a; CA 8.EE.C.8a; MA 8.EE.C.8a. Use this embedded wording as the best available supporting standard description for this workflow.).

Related Grade 8 Math Resources

Continue learning with complementary skill worksheets and online practice

More Grade 8 Worksheets

8.1 Classifying Real Numbers
8.10 Evaluating Cube Roots of Perfect Cubes
8.100 Representing a Function with a Table, Graph, and Equation
8.101 Recognizing Linear and Nonlinear Functions
Browse all Grade 8 Worksheets

Interactive Online Skills

8.1Classifying Real Numbers
8.2Understanding Decimal Expansions of Rational Numbers
8.3Converting Fractions to Decimals
8.4Converting Mixed Numbers to Decimals
Browse all Grade 8 Interactive Practice