Grade 11 Linear Systems Worksheet

A worksheet for Grade 11 students to practice solving linear systems using various methods including graphing, substitution, and elimination.

Grade 11 Math AlgebraLinear Systems

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.C.6CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSA.REI.D.11

Topics

AlgebraLinear SystemsGrade 11GraphingSubstitutionElimination

8 sections · Free to use · Printable

Linear Systems Practice

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Date:

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Solve the following linear systems using the indicated method. Show all your work.

1. Solve the following system by graphing:

y = 2x - 3

y = -x + 6

2. Solve the following system using the substitution method:

x + 3y = 7

2x - 4y = 2

3. Solve the following system using the elimination method:

3x + 2y = 10

5x - 3y = 1

4. Which of the following is the solution to the system: x + y = 5 and x - y = 1?

(2, 3)

(3, 2)

(4, 1)

(1, 4)

5. A system of linear equations with no solution is called an system.

6. When solving a system by graphing, the solution is the point of of the lines.

7. A consistent system of linear equations has at least one solution.

True

False

8. Parallel lines in a system of linear equations indicate infinite solutions.

True

False