#1
What is the quadratic formula used for?
Finding the slope of a line
Solving linear equations
Finding solutions to quadratic equations
Determining the area of a triangle
#2
What is the sum of the roots of a quadratic equation?
Equal to the coefficient of x
Equal to the constant term
Equal to the product of the roots
Equal to zero
#3
Which method can be used to solve a quadratic equation if it can't be factored easily?
Graphing
Completing the square
Substitution
Guess and check
#4
Which method can be used to find the maximum or minimum value of a quadratic function?
Factoring
Completing the square
Substitution
Vertex formula
#5
What is the axis of symmetry of a parabola?
The line that divides the parabola into two equal halves
The line that intersects the vertex of the parabola
The line parallel to the x-axis
The line parallel to the y-axis
#6
What is the discriminant of a quadratic equation?
A term that discriminates between even and odd solutions
A constant in front of the linear term
A mathematical expression used to determine the number of real solutions
A factorization technique used to solve quadratic equations
#7
What is the vertex form of a quadratic equation?
y = ax^2 + bx + c
y = a(x - h)^2 + k
y = a(x + h)^2 + k
y = a(bx + c)
#8
What does it mean if the discriminant of a quadratic equation is negative?
There is one real solution
There are no real solutions
There are two real solutions
There are infinitely many solutions
#9
What is the nature of the graph of a quadratic equation with a positive leading coefficient?
Opens upward
Opens downward
Shifts to the right
Shifts to the left
#10
For what values of 'a' in the equation ax^2 + bx + c = 0 does the quadratic equation have real and equal roots?
#11
Which of the following statements about the roots of a quadratic equation is true?
The roots are always real
The roots can be complex
The roots are always rational
The roots are always irrational
#12
In the equation ax^2 + bx + c = 0, what does the term 'b^2 - 4ac' represent?
Discriminant
Vertex
Y-intercept
Slope
#13
Which of the following represents the general form of a quadratic equation?
y = ax^2 + bx + c
y = ax^3 + bx^2 + cx + d
y = a/x + b/x^2 + c
y = a + bx + cx^2
#14
For what values of 'a' in the quadratic equation ax^2 + bx + c = 0 do the roots have opposite signs?
#15
What is the number of real roots of the quadratic equation x^2 - 6x + 9 = 0?