Worksheetssolving quadratics using square roots
Total questions: 23
Worksheet time: 1hrs 22mins
Name
Class
Date
1.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
2.
a)
± 1/4
b)
± 9/36
c)
± 1/2
d)
No real solution
3.
a)
±81
b)
±9
c)
±3
d)
No real solution
4.
x2 - 15 = 0
a)
{15, -15}
b)
{3.87, -3.87}
c)
{7.5, -7.5}
d)
No Solution
5.
Solve.
a)
A
b)
B
c)
C
d)
D
6.
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
7.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
8.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
9.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
10.
Solve
16a2 - 9 = 0
16a2 - 9 = 0
a)
a = -3/4, 3/4
b)
a = -4/3, 4/3
c)
a = -9/16, 9/16
d)
a = -16/9, 16/9
11.
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
12.
Solve for x
x2 - 3 = 78
x2 - 3 = 78
a)
-9,9
b)
9
c)
-9
d)
-√75, √75
14.
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
14.
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
15.
3. Solve the equation
4x2 - 25 = 0
4x2 - 25 = 0
a)
5/2, -5/2
b)
5/2, 5/2
c)
-5/2, -5/2
d)
-5/2, 5/2
16.
12. Solve by factoring
(x - 2 )2 = 49
(x - 2 )2 = 49
a)
-5, 9
b)
7, -7
c)
9, -5
d)
9, -9
17.
a)
1
b)
2
c)
3
d)
4
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 solution
19.
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
20.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
21.
a)
A
b)
B
c)
C
d)
D
22.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
23.
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water? (Round to the nearest whole number)
a)
-4
b)
2
c)
4
d)
8
100 %
