WorksheetsSolving Quadratics by Graphing, Factoring, and Square Root Methods
Total questions: 22
Worksheet time: 44mins
Name
Class
Date
1.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
2.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
3.
What is another word that describes the zeroes of a quadratic function?
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
4.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
5.
How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
6.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
The solution, root, x-intercept, and zero of a problem 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
7.
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)
8.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
9.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
10.
Solve for the values of x:
(x + 2)(x - 3) = 0
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
11.
Solve for the values of x:
(2x - 1)(x + 4) = 0
(2x - 1)(x + 4) = 0
a)
{ 1/2, -4 }
b)
{ 1/2, 4 }
c)
{ 2, -4 }
d)
{ -2, 4 }
12.
Which equation matches these solutions? x=5,-7
a)
(x+5)(x-7)=0
b)
(x-5)(x+7)=0
c)
(x+5)(x+7)=0
d)
(x-5)(x-7)=0
13.
What are the solutions for:
x2+6x+8=0
x2+6x+8=0
a)
x=4 and x=2
b)
x=-8 and x=-1
c)
x=-4 and x=-2
14.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
15.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
16.
x2 =25
a)
5
b)
-5
c)
5, -5
d)
No Real Solutions
17.
Solve by taking square roots:
5m2 + 1 = 6
5m2 + 1 = 6
a)
m = 0
b)
m = 1 or -1
c)
m = √7
d)
m = 7/5 m = -7/5
18.
Solve by taking square roots:
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solutionb
19.
Solve for x:
(x+6)2=49
(x+6)2=49
a)
x=7,12
b)
x=±7
c)
x=1,-13
d)
x=43,-55
20.
Solve using square roots.
a)
±72
b)
±12
c)
12
d)
No real solution
21.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
22.
Solve by taking square roots:
k2 - 6 = 43
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
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