Worksheets2 Degree Equation Quiz
Total questions: 9
Worksheet time: 5mins
What is the general form of a 2 degree equation?
2x^2 + 3x + 4 = 0
4x^2 - 2 = 0
ax^2 + bx + c = 0
3x^2 - 5x = 0
What are the coefficients of x^2, x and the constant term in a 2 degree equation?
Coefficient of y^2, coefficient of y, and constant term
Exponent of x^2, exponent of x, and variable term
Value of x^2, value of x, and variable term
Coefficient of x^2, coefficient of x, and constant term
What is the discriminant of a 2 degree equation and how is it used to determine the nature of roots?
It is used to determine the coefficient of the equation
It is used to determine the sum of the roots
It is used to determine if the roots are real and distinct, real and equal, or complex.
It is used to determine the product of the roots
Solve the equation 2x^2 + 3x - 2 = 0
x = 0.5 or x = -2
x = 1 or x = -2
x = 3 or x = -4
x = 0 or x = -1
What are the different methods to solve a 2 degree equation?
Subtracting the coefficients, dividing by the constant term, taking the square root of the discriminant
Finding the average of the coefficients, dividing by the constant term, multiplying by the square root of the discriminant
Multiplying the coefficients, dividing by the constant term, adding the square root of the discriminant
Factoring, quadratic formula, completing the square
What is the relationship between the roots and coefficients of a 2 degree equation?
Pythagoras theorem
Newton's laws of motion
Law of Sines
Vieta's formulas
What is the graphical representation of a 2 degree equation?
Parabola
Straight line
Circle
Hyperbola
How can we determine the number of real roots of a 2 degree equation using the discriminant?
Calculate the discriminant using the formula b^2 - 4ac
Calculate the square root of the coefficients
Add the coefficients of the equation
Divide the coefficients of the equation
What is the sum and product of the roots of a 2 degree equation?
The sum of the roots is -c/b and the product of the roots is a/b
The sum of the roots is a/c and the product of the roots is b/a
The sum of the roots is -b/a and the product of the roots is c/a
The sum of the roots is a/b and the product of the roots is -c/a
