WorksheetsQuadratic Equations
Total questions: 10
Worksheet time: 20mins
Name
Class
Date
1.
The solution of the quadratic equation
4x2-5x-9=0 are
4x2-5x-9=0 are
a)
x=-1 or x=9/4
b)
x=1 or x=9/4
c)
x=2 or x=3
d)
x=-2 or x=-3
2.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
3.
Solve.
n2 - 5 = -4
n2 - 5 = -4
a)
n = ±√9
b)
n = ±3
c)
n = ±1
d)
No real solution
4.
How many solutions can a quadratic have?
a)
1 solution
b)
3 solutions
c)
0 solutions
d)
2 solutions
5.
Solve the equation using the quadratic formula.
4x2 +9x = 12x
a)
x = {0, 3/4}
b)
x = {0, -3/4}
c)
x = {0, 4/3}
d)
no solution
6.
Solve by factoring: x2 = 7x + 18
a)
-7 and -18
b)
9 and 2
c)
9 and -2
d)
2 and 7
7.
Solve Using the Quadratic Formula
x2 + 4x - 40 = -8
x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
8.
Solve by the Extraction of Roots method: (x - 2) 2 = 49
a)
9 or -5
b)
± 9
c)
± 5
d)
± 7
9.
How many real solutions does 2x2 + x - 4 = 0 have?
a)
0
b)
1
c)
2
d)
3
10.
What are the solutions to 5( x - 3 )2 = 45?
a)
x = 6 and x = 0
b)
x = -3 and x = 45
c)
x = -6.71 and x = 6.71
d)
x = -3 and x = 3
100 %
