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S2 Review 2 Assignment

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
2.

What is the standard form of a quadratic equation?

a)

y=x²

b)

y=ax²+bx+c

c)

y=(x+h)2+k

d)

y= (x+a)(x+b)

3.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
4.

Use the quadratic formula to solve 2x2 + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

5.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
6.
a)
A
b)
B
c)
C
d)
D
7.

Solve using the quadratic formula. f(x) = 2x2- 4x + 7

a)

(2±2i√10)/2

b)

(4±√40)/4

c)

(2±i√10)√/2

d)

(2±2i√40)/4

8.
Simplify √-48
a)
4i
b)
-4√3
c)
4i√3
d)
12i
9.
Solve x2 - 5x + 10 = 0
a)
(5 - i√15)/2  ,  (5 + i√15)/2
b)
(5 - √15)/2  ,  (5 + √15)/2
c)
(5 - i√65)/2  ,  (5 + i√65)/2
d)
(5 - √65)/2  ,  (5 + √65)/2
10.
Square root of 16 is..
a)
4 or -4
b)
32
c)
8
d)
4
11.
What are the zeros of the function f(x) = x2 + 64?
a)
-8 and 8
b)
-8i and 8i
c)
(-√8) i and (√8) i
d)
-√8  and √8
12.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
13.
What is the first step to solving THIS equation by completing the square?
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
14.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
15.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
16.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
17.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
18.
What should be added to both sides of the following equation to complete the square?
x2 + 12x = 5
a)
12
b)
6
c)
36
d)
5
19.
Solve by completing the square:
v2 + 6v − 59 = 0
a)
{-5 + 5√2, -5 - 5√2}
b)
{5 + 5√2, 5 - 5√2}
c)
{-3 + 2√17, -3 - 2√17}
d)
{3 + 2√17, 3 - 2√17}
20.
Solve the following equation by completing the square:
n2 = 18n + 40
a)
{11, -11}
b)
{16, 2}
c)
{20, -2}
d)
{10, -4}