Solving Quadratics by using the Quadratic Formula
Quiz
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Medium
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How can you rearrange the equation x² + 4x - 40 = -8 to use the Quadratic Formula?
x² + 4x + 8 - 40 = 0, which simplifies to x² + 4x + 32 = 0.
x² + 4x - 32 = 0, which simplifies to x² + 4x + 32 = 0.
x² + 4x - 8 = 0, which simplifies to x² + 4x + 32 = 0.
x² + 4x + 40 = 0, which simplifies to x² + 4x + 32 = 0.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of a negative discriminant in a quadratic equation?
A negative discriminant indicates that the quadratic equation has no real solutions, but two complex solutions.
A negative discriminant indicates that the quadratic equation has one real solution.
A negative discriminant indicates that the quadratic equation has two distinct real solutions.
A negative discriminant indicates that the quadratic equation has infinitely many solutions.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the vertex of a parabola represented by a quadratic equation?
The point where the parabola intersects the x-axis.
The highest or lowest point of the parabola, found using the formula (-b/(2a), f(-b/(2a))).
The point where the parabola intersects the y-axis.
The midpoint of the line segment connecting the x-intercepts.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean for a quadratic equation to have two real solutions?
It means that the graph of the quadratic function intersects the x-axis at two distinct points.
It means that the quadratic function has a maximum value.
It means that the graph of the quadratic function is a straight line.
It means that the quadratic function has no real solutions.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the axis of symmetry in a quadratic function?
A vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).
A horizontal line that intersects the vertex of the parabola.
The point where the parabola touches the x-axis.
A line that passes through the focus of the parabola.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the role of 'a' in the Quadratic Formula?
'a' is the coefficient of x² and determines the shape and direction of the parabola.
'a' is the constant term that shifts the graph vertically.
'a' represents the linear coefficient that affects the slope of the parabola.
'a' is the variable that changes with the value of x.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What are the solutions to the equation 2x² + 7x - 15 = 0 using the Quadratic Formula?
x = -5 and x = 1.5
x = -3 and x = 5
x = 2 and x = -7.5
x = 0 and x = 7
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