Solving Equations Using Graphs Quiz

Test your knowledge on graph theory equations. Solve linear, quadratic equations & understand graph properties. Try it now!

#1

Which of the following represents the solution(s) to the equation y = 2x + 3?

A point on the line y = 2x + 3
The slope of the line y = 2x + 3
The x-intercept of the line y = 2x + 3
The y-intercept of the line y = 2x + 3
#2

Which of the following statements about the graph of a quadratic equation y = ax^2 + bx + c is true?

The graph is a straight line
The graph is always decreasing
The graph is always increasing
The graph is a parabola
#3

What is the solution to the equation 3x - 5 = 7?

x = 4
x = 6
x = 3
x = 2
#4

What is the slope of a horizontal line on a graph?

0
Undefined
1
-1
#5

What does the slope of a line on a graph represent?

The y-coordinate of the point where the line crosses the y-axis
The steepness of the line
The x-coordinate of the point where the line crosses the x-axis
The length of the line segment
#6

For the equation y = 3x - 2, what is the slope of the line?

3
-2
2
-3
#7

Which of the following is a method to solve a system of linear equations graphically?

Substitution method
Matrix method
Graphing method
Elimination method
#8

Which of the following represents the x-intercept(s) of the equation y = -2x^2 + 4x - 3?

The solutions of the equation
The vertex of the parabola
The y-intercept
The solutions of the equation y = -2x + 4
#9

Which of the following statements is true about the solutions of a system of linear equations on a graph?

The solutions correspond to the points of intersection of the graphs of the equations
The solutions always lie on the x-axis
The solutions correspond to the points where the graphs never intersect
The solutions are always negative
#10

Which of the following statements about the slope of a line is true?

The slope is the ratio of the change in x to the change in y.
The slope is always positive.
The slope is only defined for vertical lines.
The slope is the reciprocal of the change in y to the change in x.

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