Evaluate each expression.[Section 2.6]
23.
- (2)^3 33
26.
Simplify each fraction.[Section 3.1]
Perform each operation. Simplify, if possible.
- [Section 3.2]
- [Section 3.3]
- [Section 3.4]
- [Section 3.4]
- 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] - 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] - Write as a mixed number.[Section 3.5]
- 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.
- [Section 3.5]
- [Section 3.5]
39 [Section 3.6]
- [Section 3.6]
- 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] - GAS STATIONS How much gasoline is left in a
500-gallon storage tank if gallons have been
pumped out of it? [Section 3.5] - Find the perimeter of the triangle shown below.
[Section 3.6] - Evaluate: [Section 3.7]
- Simplify: [Section 3.7]
- 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