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Worksheets

Tuesday, Feb. 25th

Total questions: 65

Worksheet time: 3hrs 48mins

Name
Class
Date
1.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

2.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

3.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

4.

Does the equation open or or down? Is the vertex a maximum or minimum?

Y = -3x2 +7x - 2

a)

up, minimum

b)

down, maximum

c)

up, maximum

d)

down, minimum

5.

What are the zeroes of this graph?

a)

x = -4 and 2

b)

x= -1 and 0

c)

x = 9 and -8

d)

x= 4 and -2

6.

What are the zeroes?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2 and x= -2

7.

What is the equation of this parabola in it’s factored form?

a)

y=(x-2)(x+3)

b)

y=(x+2)(x-3)

c)

y=(x+2)(x-3)(x-6)

d)

y=(x+3)(x-6)

8.

What is the equation of this parabola in its factored form?

a)

y=(x+1)(x+3)

b)

y=(x-1)(x-3)

c)

y=-(x+1)(x+3)

d)

y=-(x-1)(x-3)

9.

What is the factored quadratic equation in the following graph?

a)

y=(x+2)(x+6)

b)

y=x2-8x+12

c)

y=(x-2)(x-6)

d)

y=(x-4)(x+4)

10.
Solve by completing the square.
x2 + 4x= 12
a)
x = 2 and -2
b)
x = -6 and 2
c)
x = 6 and -2
d)
x = 1 and -1
11.
ax2+bx+c=0  is the standard form of a quadratic equation.
a)
True
b)
False
12.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
13.
Factor x2-11x+24
a)
(x-3)(x-8)
b)
(x-2)(x-12)
c)
(x+3)(x+8)
d)
(x+2)(x+12)
14.
Solve for the values of x:
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
15.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

16.

Solve using the Quadratic Formula:


2x2 + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

17.

What is 0.35 as a simplified fraction?

a)

35/100

b)

7/20

c)

35/1000

d)

70/500

18.

Write 0.34343434... as a simplified fraction.

a)

34/100

b)

34343434/100000000

c)

34343434/999999999

d)

34/99

19.

Write 5/8 as a decimal.

a)

5.8

b)

0.58

c)

0.0625

d)

0.625

20.

Simplify  −25-\sqrt{25}  

a)

-5

b)

5

c)

 ±\pm  5

d)

-12.5

e)

12.5

21.

 327^3\sqrt{27}  

a)

 ±3\pm3  

b)

-3

c)

3

22.

 1649\sqrt{\frac{16}{49}}  Simplify

a)

 ±47\pm\frac{4}{7}  

b)

 47\frac{4}{7}  

c)

 −47-\frac{4}{7}  

23.

 ±81\pm\sqrt{81}  

a)

 ±9\pm9  

b)

-9

c)

9

24.

Round 19\sqrt{19} to the nearest integer 

a)

5

b)

4

c)

25

d)

16

25.

Round 78\sqrt{78}  to the nearest integer

a)

81

b)

64

c)

9

d)

8

26.
-10
a)
Rational
b)
Irrational
27.
√4
a)
irrational
b)
rational
28.
1/2
a)
Rational
b)
Irrational
29.
.75
a)
Rational
b)
Irrational
30.
.0123456789...
a)
Rational
b)
Irrational
31.
√10
a)
Rational
b)
Irrational
32.
√100
a)
irrational
b)
rational
33.
1+√3
a)
rational
b)
irrational
34.
√4+√25
a)
rational
b)
irrational
35.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
36.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
37.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
38.
a)
Function
b)
Not a Function
39.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
40.
a)
Function
b)
Not a Function
41.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
42.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

43.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
44.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
45.
Consider the function f(x)=9x+5.  Find f(7).
a)
102
b)
68
c)
7
d)
21
46.
Consider the function k(x)=x/5-3.  Find k(-20).
a)
-20
b)
1
c)
-7
d)
-1
47.
Consider the function t(x)=x/8+2x.  Find t(16).
a)
34
b)
160
c)
16
d)
56
48.
A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.
a)
g(8)=8.  This means that after 8 packages of gum, the company makes $8.
b)
g(8)=42.  This means that 8 packages of gum costs $42.
c)
g(8)=28.  This means that 8 packages of gum costs $28.
d)
g(8)=24.  This means that 8 packages of gum costs $24.
49.
A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
50.
Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48x + 5
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x
51.
Which of the following is another meaning of y-intercept?
a)
location
b)
initial value
c)
total
d)
constant rate
52.

The population of the town is given by the function y = 60,000 - 500x, where y is the number of inhabitants and x is the time in years. What is the population of the town after 9 years?

a)

55,500

b)

55,000

c)

54,500

d)

D:54,000

53.

The change in temperature is given by the function y = 68 - x, where y is the temperature in Fahrenheit degrees and x is the time in hours. What is the temperature after 2 hours?

a)

70

b)

69

c)

67

d)

66

54.

The profit of a company is given by the function y = 100,000 - 2,000x, where y is the profit in dollars and x is the time in months. What is the profit of a company after 5 months?

a)

$98,000

b)

$90,000

c)

$89,000

d)

$80,000

55.
You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?
a)
20 rides
b)
30 rides
c)
40 rides
d)
50 rides
56.
If I join the gym for a start up fee of $40 and monthly fee of $10, what equation models this?
a)
y = 10x - 40
b)
y = 40x + 10
c)
y = 10x + 40
d)
y = 40x - 10
57.

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

a)

y=1.5+20x

b)

y=1.5x + 20

c)

y = 20x + 1.5

d)

y= 21.5x

58.
Give the correct name for 
3x2+4x-7
a)
Quadratic trinomial
b)
linear binomial
c)
Quartic trinomail
d)
Linear Trinomail
59.
(x-3)2
a)
x2-6x+9
b)
x2 - 9
c)
x2 + 9
d)
x2 
60.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
61.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
62.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4 
b)
2x3 + 11x2 + 14x + 3 
c)
-2x3 - 11x2 + 14x + 5 
d)
x3 - 11x2 + 14x + 3 
63.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
64.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
65.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7

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