WorksheetsSolving Quadratics by Graphing
Total questions: 25
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
What is the greatest number of solutions that a Quadratic Equation can have?
a)
0
b)
1
c)
2
d)
3
2.
What are the solutions?
a)
-2, 1
b)
1, 2
c)
-1,2
d)
0,-4
3.
What is the degree of every Quadratic Equation?
a)
1
b)
2
c)
3
d)
4
4.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
5.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
6.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
7.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
8.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
9.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
10.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
11.
What is the axis of symmetry for the following function
f(x) = 2x2 - 2x + 3
f(x) = 2x2 - 2x + 3
a)
x = 1/2
b)
y = 1/2
c)
x = 3
d)
y = 3
12.
Does the following function open up or down
-2x2 + 3x - 2
-2x2 + 3x - 2
a)
up
b)
down
13.
What is the domain of all quadratic functions
a)
x ≥ 0
b)
x ≤ 0
c)
All real numbers
14.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
15.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
16.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
17.
Solve
(n +7)(n + 9) = 0
a)
n = -7; n = 4
b)
n = 7; n = -9
c)
n = -3; n = 10
d)
n = -7; n = -9
18.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
19.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
20.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
21.
How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
22.
Find the solutions to: 7(x-10)(3x+2)
a)
x = 10 and x = -2/3
b)
x = 10 and x = -2
c)
x = 1 and x = -2/3
23.
Factor
3v2 - 4v - 7
a)
(3v+1)(v-10)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v-7)(v+1)
24.
Factor
x2 + 9x - 36
a)
(x + 9)(x - 4)
b)
(x + 12)(x - 3)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
25.
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
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