UMUC MATH107 exam 1

Math 107–
Exam #1 – Due January 25, 2015 – page 1 of 4

Follow these directions
carefully.

•
This
exam is due by 11:59 PM Eastern time on January 25, 2015.

o
This is an important assignment, counting 7% of your
course grade. oSubmit this assignment in
your assignments folder by the due date.
•
Answer
all the questions.There
are 33 problems on 4 pages.oThere
are 100 points possible.

oNo
work is requiredfor theMULTIPLE
CHOICE SECTIONor for theSHORT
ANSWERSECTION.
There isno partial credit for these problems, soplease
work carefully.

o Show all
work
for
theLONG ANSWER
SECTION.
There
is partial credit for these problems.

•
Answer
these questions on separate pages (not these sheets).
o Use a separate
document to solve these problems. You may type your
answers in a document (like Word or Excel) or handwrite your answers and scan
them in – up to you.
o Submit your assignment asan attachment.
Use filename
1501Math107_6384_E1_LastName_FirstName.*
•
You must work on your own,
consulting no other person except for me. You can of
course use yourbook, calculator, and any other resources, besides
people, that you may have at your disposal.

MULTIPLE
CHOICE SECTION. Choose the best
alternative. (2 pts
each)

1.
Find
the distance between?4 and 3 on a number line.

a)

7

c)

12

b)

5

d)

1

2.
Write
in interval notation: {4?x>?2}.

a)

(4,?2]

c)

[?2, 4]

b)

(?2, 4]

d)

[?2, 4)

3.
Convert
to decimal notation: 4.29×107.

a)

4,290,000

c)

42,900,000

b)

0.000000429

d)

429,000,000

4.

Compute and write
in scientific notation. Be
careful!:

25×10?5

.

2.5×108

a)

10×10?13

c)

1.0×10?14

b)

1.0×10?12

d)

10×1013

5.
Multiply: (5×2)3(2x)2.

a)

60×8

c)

60×7

b)

500×7

d)

500×8

6.
Simplify 3 .jpg”>72.
.jpg”>.jpg”>

a)

23 9

c)

43 9

b)

24

d)

23

3

7.

Which is a factor
of

2n2+ 5n? 42?

n+6

a)

2n+ 7

c)

b)

n?6

d)

n?3

.jpg”>

Math 107
Section 6384 – Exam #1 – Due January 25, 2015 – page 2 of 4

8.
Which
is a factor of4
x2?324?

a)

x?3

c)

x+3

b)

x?9

d)

x?18

9.

Which is a factor
of

x3+729?

a)

x?3

c)

x+3

b)

x?9

d)

x+9

10.

Which is a factor
of

4 x3? 24 x2? x+ 6?

x+6

a)

4x?1

c)

b)

x?2

d)

2x+1

11.
Solve: x2=49x.

a)

49

c)

0,
49

b)

7

d)

?

7, 7

.jpg”>
6
.jpg”>12. Rationalize
the denominator: .
2+.jpg”>.jpg”>3
.jpg”>.jpg”>
a) 12+ 6.jpg”>.jpg”>3 c) ?12+
6.jpg”>.jpg”>3
12? 6.jpg”>.jpg”>3
.jpg”>b) 12?
6.jpg”> 3 d)
7

13.
Convert
to radical notation: x5/6.

.jpg”>.jpg”>a)

5×6

c)

6×5

b)

x5

x

d)

6×5

.jpg”>
14.
Solve: 3x
?
6=5.

a)

11 / 3

c)

33

b)

?1 / 3

d)

3 /11

15.
Which
of the following equals?163/4? Be careful.

a)

8

c)

12

b)

?8

d)

It does not
exist.

16.
Solve:
3w2?15=0.

a)

5,?5

c)

25,?25

b)

d)

5

x

2

5,?

5

17.

Subtract and
simplify:

?

.

x2+5x+6

x2+3x+2

a)

x?3

c)

x2+3x+6

(x+1)(x+ 3)

(x+1)(x+ 2)(x+ 3)

b)

x?2

d)

x2? x+6

(x+1)(x+ 2)(x+ 3)

(x+1)(x+ 2)(x+ 3)

.jpg”>.jpg”>

Math 107
Section 6384 – Exam #1 – Due January 25, 2015 – page 3 of 4

18.
Solve: 2×2+9x?18=0.

a)

?6,

2

c)

?6,

3

3

2

3

2

b)

?

, 6

d)

?

,
6

2

3

19.
.jpg”>is expressed in
simplest radical form.
.jpg”>

T)

True

F)

False

2

3

20.

?

64

is an integer.

16

T)

True

F)

False

2

3

21.

?

64

is a rational number.

16

T)

True

F)

False

22.

1

is equal tox+y.

x?1+y?1

T)

True

F)

False

23.

When
evaluated atx=?2,

the value ofx2 is?4.

T)

True

F)

False

SHORT
ANSWER SECTION.Be careful; there is no partial credit for these
questions.

(3 pts each)

.jpg”>.jpg”>
24.
Solve
for x:x(3x+2)(5x?3)(x+2)=
0

[There
are four (4) solutions.]

25.

Expand:

(3x? 4)2

26.

Expand:

(x? 2)(7x
+1)

27.

Subtract:

(10×5 y4? 6×2 y+ 3x?1)? (7×5 y4+ 6×2 y? 2y?1).

28.

Subtract and write the answer in simplest
radical form:

3

? 2

.

160

360

.jpg”>
29.
Simplify
(be careful):

? ?3 .
.jpg”>.jpg”>

Math 107
Section 6384 – Exam #1 – Due January 25, 2015 – page 4 of 4

LONG
ANSWER SECTION.Solve the problems.
You must show all work in order to receive any credit.

30.

Simplify and write with positive
exponents:

(?3ab7 )3 a?4b2

(10 pts)

b?5

31.
A
wire 18 feet long is extended from the top of a pole to a place on the ground
12 feet from the base of the pole. How long is the pole in feet?

a)
Draw a picture of this situation. Label the pole, the wire, and the ground as
“pole”, “wire”, and

“ground”
and indicate the given measurements with appropriate units. Please follow these

directions carefully.

(3 pts)

b)

Express your
answer in simplest radical form. NO DECIMALS here.

(6 pts)

c)

Write your answer to the nearest tenth
of a foot.

(1 pts)

32.

Divide and simplify:

x2?2x?15

÷

x2?25

(8 pts)

x2+ x?6

x2?4x?21

33.
Suppose that $6,400 is invested at 0.5%
interest, compounded monthly. How much,
to the nearest penny,

is in the account after 7
years? (Refer to Example 10 on page 13
in Section R.2.)(8 pts)