WorksheetsU7 Practice
Total questions: 11
Worksheet time: 1hrs 18mins
Name
Class
Date
1.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
2.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
3.
x2 - 4x + 4 = 20,
Fill in the blank to create an equivalant equation to the one above.
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
4.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
5.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
6.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
7.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
8.
Factor completely:
r2+r−6
a)
(r+2)(r+3)
b)
(r+4)(r−7)
c)
(r−2)(r−3)
d)
(r−2)(r+3)
9.
You are given the factored equation (x+8)(x−2)=0 . What is the next step to solve for x.
a)
Set x+8=0 and x−2=0
b)
Nothing the solution is x=8 and x=−2
c)
Multiply (x+8)(x−2)
d)
Choose x+8 or x−2 and write a musical about them
10.
Solve (x+2)(x−11)=0 for x.
a)
x=−2 or x=−11
b)
x=2 or x=−11
c)
x=2 or x=11
d)
x=−2 or x=11
11.
Solve using the Quadratic Formula
4v2 - 1v - 18 = 0
a)
v = 2.25, -2
b)
v = -2.25, 2
c)
v = 2.24, -1.99
d)
v = -2.24, 1.99
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