WorksheetsQuadratic Zeroes
Total questions: 22
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
Identify the x-intercepts:
y= -3(x-5)(x+5)
y= -3(x-5)(x+5)
a)
(-5,0)(5,0)
b)
(5,0)(-5,0)
c)
(5,0)(0,5)
d)
(0,5)(0,-5)
2.
What are the solutions to this equation?
(3x - 2)(5x + 1) = 0
a)
x=5/2,-1/3
b)
x=1/5,-2/3
c)
x=1/3,-5/2
d)
x=2/3,-1/5
3.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
4.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
5.
Solve for h:
0 = (h – 7)(2h + 3)
0 = (h – 7)(2h + 3)
a)
h = –14 or h = 12
b)
h = –7 or h = 3
c)
h = 7 or h = -3/2
d)
h = –14 or h = -3/2
6.
Find the zeros of this quadratic. (5b-4)(b+3)=0
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
7.
Find the Zeros
(x + 5)(x + 2) = 0
a)
x= -5, -2
b)
x= 5, 2
c)
x=0
d)
x=-5,2
8.
Find the Zeros
(2x - 6)(x + 4) = 0
a)
x= 3, -4
b)
x= 6, -4
c)
x=0
d)
no solution
9.
Find the Zeros
x(x - 8) = 0
a)
x= 8
b)
x= 0, 8
c)
x= 0, -8
d)
x= 0
10.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
11.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
12.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
13.
How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
14.
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
15.
Find the zeros of the equation:
(x+10)(x-2) = 0
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
16.
In factored form you can see the ______ of the graph easily.
a)
y-intercept
b)
vertex
c)
x-intercepts
17.
Find the vertex y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
18.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
19.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
20.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
21.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
22.
If your solution is x = 5, then your factor is
a)
(x + 5)
b)
5x
c)
(x - 5)
d)
-5x
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