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Worksheets

Final Review

Total questions: 54

Worksheet time: 4hrs 41mins

Name
Class
Date
1.
Factor 9x2-64
a)
(3x-8)(3x+8)
b)
(2x-8)(2x+8)
c)
(3x-4)(3x+4)
d)
(3x-8)2
2.
Find the value of the discriminant: 4x2-7x+8
a)
√79
b)
√-79
c)
-79
d)
-7±i√79/8
3.
Write the equation in vertex form:
y = -2x2+16x+4
a)
y=-2(x-4)2+4
b)
y =-2(x+4)2+36
c)
y=-2(x+4)2+4
d)
y =-2(x-4)2+36
4.
What is the vertex:
y = 2(x-3)2+18
a)
(-3,-18)
b)
(3,-18)
c)
(-3,18)
d)
(3,18)
5.
Given f(x) = 3x - 2 and g(x) = x2-5. Find: (f-g)(2)
a)
5
b)
0
c)
4
d)
2
6.
Solve by taking square roots:
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
7.
 Solve the equation.
a)
36
b)
18
c)
-18
d)
27
8.
Solve
a)
2
b)
1
c)
-1
d)
8
9.
a)
2, 7
b)
2
c)
7
d)
No Solution
10.
If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.
a)
1.25mg
b)
1.25g
c)
10g
d)
10mg
11.
The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?
a)
3.0g
b)
0.25mg
c)
0.3g
d)
0.25g
12.
Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52                     (Mr. Williams)       
b)
$831.10                 (Mrs. Hoch)
c)
$839.45                    (Mr. Krajunus)
d)
$846.80                   (Ms. Palombo)
13.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years?
a)
$15,415.94       LeBron James
b)
$15,683.28            Chase Utley
c)
$15,927.56       Serena Williams
d)
$16,349.72            Tom Brady
14.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually,how much interest will Riley earn in 15 years?
a)
$1,584.62                   the train station
b)
$1,651.39                   the movie theater
c)
$1,706.86                   the art museum
d)
$1,893.45                   the bakery
15.
Sarah borrowed $18,000 for 4 years at an annual simple interest rate of 7%.  How much interest will she pay at the end of the 4 years?
a)
$5040
b)
$23040
c)
$504000
d)
$18000
16.

Anne deposited $500 in an

account that earns 6% simple annual interest.

Shelly deposited $500 in an account that earns 6% annual interest

compounded annually. They leave the

money in the account for 4 years. Which

statement is true about the two investments after 4 years?

a)

Shelly will have $131.24 more in her account

than Anne has in her account.

b)

They will have the same

amount in their accounts.

c)

Shelly will have $11.24 more

in her account than Anne has in her account.

d)

Anne will have $11.24 more in

her account than Shelly has in her account.

17.
The equation for this table is 
a)
y = 1(2x)
b)
y = 1(12x)
c)
y = 12x
d)
y = 12x + 1
18.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
19.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
20.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
21.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
22.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
23.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

24.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
25.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
26.
Evaluate the geometric series below:
a1 = -2, an = -1458, r = 3
a)
-2186
b)
-2408
c)
1
d)
-2703
27.
Find the common ratio: 16, 8, 4, 2, ...
a)
r = 2
b)
r = 8
c)
r = 1/4
d)
r = 1/2
28.
What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
29.

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

a)

32,756

b)

42,560

c)

28,765

d)

65,535

30.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
31.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
32.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
33.
Solve (hint: there's more than 1 law you must obey)
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
34.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
35.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
36.
a)
14
b)
16
c)
18
d)
22
37.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
38.
What is the probability that a student does not play on a sports team? 
a)
.5
b)
.45
c)
.55
39.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
40.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
41.
Which graph best shows a positive correlation between the number of hours studied and the test scores?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
42.
What type of relationship does this scatter plot show?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant
43.
What type of relationship does this graph show?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant 
44.
Which scatter plot show a positive relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
45.

A recent survey found that out of 400 random American adults, 89% pay their bills on time. The margin of error in this survey was 2%. What is the interval of values in which the truth is likely found?

a)

89% - 91%

b)

87% - 89%

c)

87% - 91%

d)

388 - 402

46.

Interview every 10th student who enters the school in the morning.

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

47.

Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.

a)

systematic

b)

simple random sample

c)

convenience

d)

Self - selected (volunteer)

48.

Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:

a)

Self-Selected

b)

Convenience Sampling

c)

Simple Random Sampling

d)

Systematic Random Sampling

49.

Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.

a)

Convenience Sampling

b)

Systematic Random Sampling

c)

Simple Random Sampling

d)

Volunteer response

50.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the five closest to her desk.

a)

simple random

b)

Self Selected.

c)

Convenience

d)

Systematic Random

51.
This research method is a technique for ascertaining the self – reported attitudes or behaviors of a particular group, usually by questioning a representative, random sample of the group.
a)
Survey
b)
Observational
c)
Correlational
d)
Experiments
e)
Case Study
52.
This is a method of research where the researcher carefully and systematically observes and records behavior without interfering
a)
Observational
b)
Correlational
c)
Experiments
d)
Case Study
e)
Survey
53.
The advantage of this descriptive method of research is that the strict control of variables offers researchers the opportunity to draw conclusions about cause and effect relationships.
a)
Experiments
b)
Case Study
c)
Survey
d)
Observational
e)
Correlational
54.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3

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