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Chapter 4 Test

Total questions: 50

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Determine if the function graphed has a maximum or a minimum value and identify that value.

a)

maximum at -1

b)

minimum at -1

c)

maximum at 4

d)

minimum at 4

2.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
3.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
4.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
5.
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
6.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
7.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
8.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
9.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
10.
What is the range?
a)
y≥-3
b)
y≥-1
c)
All real numbers
d)
y≤-1
11.
What is the domain?
a)
-4<x<-2
b)
All Real Numbers
c)
-6<x<0
d)
y≥-1
12.
What is the vertex?
a)
-1
b)
-3
c)
(-3, -1)
d)
(-1, -3)
13.
Convert to vertex form.
a)
y=3(x+1)2 - 8
b)
y=3(x-1) 2 - 8
c)
y=3(x+2)2 - 8
d)
y=3(x-2)2 - 8
14.
Convert to vertex form.
a)
y=-(x-5)2 + 21
b)
y=-(x+5)2 + 21
c)
y=-(x+10)2 + 21
d)
y=-(x-10)2 + 21
15.

What is a quadratic equation ?

a)

An equation

b)

A function

c)

An equation of the second degree

d)

An equation that contains at least one term that is squared.

16.

How do you express a quadratic equation?

a)

a + b

b)

2a

c)

ax² + bx + c = 0

d)

a = 4

17.

What is the standard form of a quadratic equation?

a)

ax2+bx+c=0

b)

2ax+bx+c=0

c)

ax2+cx+c=0

18.

Find the roots of the equation: x2+3x-10

a)

1,9

b)

5,-2

c)

3,-8

d)

-5,2

19.

Factorize the next equation: x2 - 7x + 12

a)

(x+3), (x+4)

b)

(x-3), (x-4)

c)

(x+3), (x-4)

d)

(x-4), (x+3)

20.
A maximum is the _____________ point of the function. 
a)
highest
b)
lowest
21.
A minimum is the ______________ point of the function. 
a)
highest
b)
lowest 
22.

For a graph to be wider, the a value must be

a)

Very large number, regardless of sign

b)

Very small number, regardless of sign

c)

Negative number

d)

a=0

23.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
24.
Complete the square.
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
25.
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
26.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
27.
Solve by completing the square.
y2 + 10y = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
28.
Solve by completing the square.
x2 +12x = 5
a)
X = 6 + √41 or  6 − √41
b)
X= 35 or 47
c)
X = −6 + √41 or  −6 − √41
d)
X = √35 or √47
29.
Solve
 3x² + 5x - 12 = 0
a)
x = -4/3, x = 3
b)
x = 4/3, x = -3
c)
x = -1, x = 4
d)
x = 1, x = -4
30.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
31.

How many terms are in this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

1

c)

4

d)

2

32.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

33.
x2 - 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
34.
x2 - 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
35.
3x2 - 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
36.
Which of the following is a perfect square trinomial?
a)
x2 – 18x + 81 
b)
x2 – 12x + 6 
c)
x2 + 20x + 40 
d)
x2 – 12x – 36 
37.
Which of the following is a perfect square trinomial?
a)
x2 + 14x – 49 
b)
x2 + 20x + 100 
c)
x2 – 8x + 4 
d)
x2 – 5x + 6 
38.
25x2 + 60x + 36
a)
(5x + 6)2
b)
(5x - 6)2
c)
(5x + 18)2
d)
Not a Perfect Square Trinomial
39.
√ 16 
a)
8
b)
3
c)
4
d)
6
40.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
41.
112 =
a)
22
b)
44
c)
144
d)
121
42.
196
a)
Is a perfect square.
b)
Is not a perfect square.
43.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
44.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
45.

what is this brand?l

a)

lele's

b)

nene's

c)

wendy's

d)

kenzy's

46.

what is this brand?

a)

NBA Basketball

b)

NBA

c)

NBA Golf

d)

NBA Voleyball

47.

what is this brand?

a)

Instaglam

b)

Instagram

c)

Instablam

d)

Instakam

48.

what is this brand?

a)

pepsi

b)

persi

c)

pepsi cola

d)

cola

49.

what is this brand?

a)

Youbub

b)

Youtube

c)

YouTube

d)

RuTube

50.

what is this brand?

a)

StarBuks

b)

StarBucks

c)

Starbucks

d)

StarWars

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