Basic Mathematics for College Students

(Nandana) #1
Evaluate each expression.[Section 2.6]

23.


  1. (2)^3  33




26.

Simplify each fraction.[Section 3.1]









Perform each operation. Simplify, if possible.


  1. [Section 3.2]

  2. [Section 3.3]

  3. [Section 3.4]

  4. [Section 3.4]

  5. SHAVING Advertisements for an electric shaver
    claim that men can shave in one-third of the time it
    takes them using a razor. If a man normally spends
    90 seconds shaving using a razor, how long will it take
    him if he uses the electric shaver?[Section 3.3]

  6. FIRE HAZARDS Two terminals in an electrical
    switch were so close that electricity could jump the
    gap and start a fire. The illustration below shows a
    newly designed switch that will keep this from
    happening. By how much was the distance between
    the ground terminal and the hot terminal increased?
    [Section 3.4]

  7. Write as a mixed number.[Section 3.5]

  8. Write  6 as an improper fraction.[Section 3.5]


5


8


75


7


Old
switch
Ground
terminal

Hot
terminal

––^1
16

"

New
switch

(^3) –
4
"


4


7





3


5


2
3


3
4

8


63





2


7


6


5


a

2


3


b

40


16


21


28


2(3^2  42 )


2(3) 1


 5  30  4 (6) 0


6 (2)(5)


Perform each operation. Simplify, if possible.


  1. [Section 3.5]

  2. [Section 3.5]


39 [Section 3.6]


  1. [Section 3.6]

  2. LUMBER As shown below, 2-by-4’s from the lumber
    yard do not really have dimensions of 2 inches by
    4 inches. How wide and how high is the stack of 2-by-4’s
    in the illustration? [Section 3.5]

  3. GAS STATIONS How much gasoline is left in a
    500-gallon storage tank if gallons have been
    pumped out of it? [Section 3.5]

  4. Find the perimeter of the triangle shown below.
    [Section 3.6]

  5. Evaluate: [Section 3.7]

  6. Simplify: [Section 3.7]

  7. Simplify: [Section 3.7]


3


7


a

1


2


b

1


3


4


2


3


4


5


a

3


4





9


16


ba

1


2





1


8


b

(^1) –
1ft 3
(^1) –
1f 3 t
(^3) –
4
ft
(^225 34)
Width
Height
1 in.^1 – 2
3 in.^1 – 2


14


2


5


 8


2


3


4
2
3

 5
1
4

15


1


3


 2


2


9


2


2


5


a 3

1


12


b

314 Chapter 3 Cumulative Review


One 2-by-4

A stack
of 2-by-4’s
Free download pdf