Graphical Simultaneous Equations Worksheet
Grade 11 Math worksheet on solving simultaneous equations graphically, including linear and quadratic systems.
Includes
Standards
Graphical Simultaneous Equations
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Read each question carefully and follow the instructions. For graphical questions, use the provided coordinate planes to plot the equations and find the points of intersection.
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. Which of the following statements is true about the solution(s) to a system of equations found graphically?
The solutions are the x-intercepts of each equation.
The solutions are the y-intercepts of each equation.
The solutions are the points where the graphs intersect.
There is always exactly one solution.
4. When two linear equations have the same slope and different y-intercepts, their graphs are lines, and the system has solution(s).
5. A quadratic equation graphed on a coordinate plane forms a , while a linear equation forms a .
6. A system consisting of a linear equation and a quadratic equation can have at most one solution.
True
False
7. Consider the system: y = x² + 1 and y = c. For what value(s) of 'c' will the system have exactly one solution? Explain your reasoning.