Graphical Simultaneous Equations Worksheet

A Grade 12 Math worksheet focusing on solving simultaneous equations graphically, including linear and non-linear systems.

Grade 12 Math AlgebraGraphical Simultaneous Equations

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

7 sections · Free to use · Printable

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Graphical Simultaneous Equations

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Read each question carefully and follow the instructions. Use the provided graph paper to plot your equations and determine the solutions. Show all your work.

1. Graph the following system of linear equations and find the solution:

Equation 1: y = 2x - 3

Equation 2: y = -x + 3

Solution (x, y):

2. Graph the following system of equations and identify the points of intersection:

Equation 1: y = x² - 4

Equation 2: y = x - 2

Points of Intersection:

3. The graph below shows two linear equations. How many solutions does this system have?

Zero solutions

One solution

Two solutions

Infinitely many solutions

4. When two lines intersect at exactly one point, the system has solution(s).

5. If two lines are parallel and never intersect, the system has solution(s).

6. A system of equations where the graphs are the same line has solutions.

7. A non-linear system of equations can have more than one solution.

True

False