Grade 9 Linear Systems Worksheet

This worksheet covers solving linear systems using various methods, including graphing, substitution, and elimination, suitable for Grade 9 algebra students.

Grade 9 Math AlgebraLinear Systems

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Includes

Multiple Choice3 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.B.6CCSS.MATH.CONTENT.HSA.REI.C.5CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

linear systemsalgebragrade 9mathgraphingsubstitutionelimination

8 sections · Free to use · Printable

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Grade 9 Linear Systems Worksheet

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Solve the following linear systems using the specified methods. Show all your work.

1. Which ordered pair is a solution to the system of equations: y = x + 3 y = -2x + 6

(1, 4)

(3, 0)

(0, 3)

(2, 5)

2. Solve the following linear system by graphing. State the solution. y = 2x - 1 y = -x + 5

Solution:

3. Solve the following system using the substitution method. x + y = 7 y = 2x + 1

Substitute the second equation into the first: x + ( ) = 7

Simplify and solve for x:

Substitute the value of x back into one of the original equations to find y:

The solution is ( , ).

4. Solve the following linear system using the elimination method. 2x + 3y = 10 2x - y = 2

Solution:

5. A system of linear equations can have exactly two solutions.

True

False

6. The sum of two numbers is 15. Their difference is 3. Set up a system of linear equations and solve to find the two numbers.