Home / Worksheets / Grade 9 / Math / Grade 9 Math: Graphical Simultaneous Equations

Grade 9 Math: Graphical Simultaneous Equations

This worksheet helps Grade 9 students practice solving simultaneous equations by graphing linear equations and finding their intersection points.

Grade 9 Math AlgebraGraphical Simultaneous Equations
Use This Worksheet

Includes

3 Short AnswerMultiple ChoiceTrue / FalseFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.C.8.ACCSS.MATH.CONTENT.8.EE.C.8.B

Topics

Grade 9MathAlgebraSimultaneous EquationsGraphing
8 sections · Free to use · Printable
← More Math worksheets for Grade 9

Graphical Simultaneous Equations

Name:

Date:

Score:

Read each question carefully and follow the instructions. For graphical questions, use the provided coordinate plane to draw your lines and identify the intersection point.

1. Graph the following system of linear equations on the coordinate plane below and find the solution:

Equation 1: y = 2x - 1

Equation 2: y = -x + 5

-10-8-6-4-2246810-10-8-6-4-2246810

Solution (x, y):  

2. Graph the following system of linear equations and determine if there is one solution, no solution, or infinitely many solutions:

Equation 1: x + y = 4

Equation 2: 2x + 2y = 8

-10-8-6-4-2246810-10-8-6-4-2246810

Type of solution:  

3. Which of the following systems of equations would have no solution when graphed?

a

y = 3x + 2 y = 3x - 1

b

y = x + 4 y = -x + 4

c

y = 2x + 3 y = 2x + 3

d

y = -5x y = 5x

4. True or False: The solution to a system of linear equations is the point where the lines intersect.

T

True

F

False

5. When two lines are parallel and distinct, their system of equations has   solutions.

6. Consider the system of equations:

Equation 1: y = x + 3

Equation 2: y = -2x

Without graphing, explain how you would determine the solution to this system.