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Ms. Hancock
Test Review #2
Thursday, September 20, 2007
Remember to show all your work for full credit.
Part B (1.1 – 1.5)
Graph the numbers on a number line. Then write the numbers in
increasing order.
1)
-2, 0.2,   ,  6 ,
6
5
For problems # 2 – 13, identify the property shown.
2)
45  1  4  5  4  1
4)
3  (5  7)  (3  5)  7
3)
8 + -8 = 0
5)
3 + (5 + 7) = (5 + 7) + 3
Review Test #2:
1
6)
(a  2b)  3c  a  (2b  3c)
9)
7)
14
1I
F
G
H14 J
K 1
10) (a + b)c = (b + a )c
8)
b + (–b) = 0
11) ab + ac = a (b + c)
(a + b) + c = a + (b + c)
Use order of operations to evaluate each expression.
12)
3x
2

 1  14  7
for x = -5
4 x
13)
3x - 2y for x =  4 & y = 5
Review Test #2:
2
b g
14)
4m 3m  2 for m  33
..
15)
(7  y)  10x for x 
2
1
& y .
7
7
16)
2a 3  (2a) 2 for a = –2.
17)
3a 3 + (3a) 2 for a = –3.
For problems #18 – 28, remember to use ratios when working with
conversions and round your answer to the nearest tenths, if necessary.
18) An elevator takes 60 seconds to travel 352 feet to the top floor.
What is the speed of the elevator in miles per hour?
Review Test #2:
3
19) Maria baked 35 cookies with 7 ounces of chocolate chips. How many
cookies could she bake with one ounce of chocolate chips?
20) You played tennis for 45 minutes and burned 215 calories. How
many calories did you burn per minute?
21) A motorist travels 337 miles while using 13.7 gallons of gasoline.
Find the gasoline consumption in miles per gallon to one decimal
place.
Simplify each expression
22)
43  x  5x  6  8
23) 7 y  2 x  5 x  3 y  3x
Review Test #2:
4
Solve
24)
 5x  3  18
25)
2
n5 1
3
26)
1
3
y   y  40
2
4
27)
 8n  20  10n = 42
28) 10n  24  8n = 50
29)
 2n  12 = 22
Review Test #2:
5
30) 5n – 2(n – 2)  –11
31)
y3
7
4
32)
3y  2
7
4
33)
2
y  12  0
19
34)
6z  3  8z – 5
35)
3  4z  5  8z
Review Test #2:
6
36) 5x  14 – 2 x  9 – (4 x  2)
38) 7 x  29  21x  3  (12  2 x)
37)
39)
3x  17 – 5x  12 – (6x  3)
40) 3.8x  16
. = 1.3x + 8.4
x(2 x  1)  10  2 x(1  x)
41) 3.3x + 1.9 = 1x + 15.7
Review Test #2:
7
Solve for y.
42)
5x – y = 10
44)
x – 2xy = 1
43)
0.1x + 0.5y = 3.5
45)
2x = 3y + 9
46) Solve for b : J  9a 2 b .
47) Solve for w : 4u  w = u  7 w
Review Test #2:
8
48) Solve for A: B =
50)
7
(A  8).
8
How far can you drive at 55
miles per hour for 4 hours?
49) Solve for A: B =
2
(A  11).
3
51) How long will it take to drive
325 miles at 55 miles per
hour?
52) While on vacation, you take a taxi from the airport to your hotel for
$21.85. The taxi costs $2.95 plus $1.35 per mile. How far is it from
the airport to the hotel?
Review Test #2:
9
53) A jumbo jet carries 360 passengers, 34 in first class, and the
remainder in coach. If the average first class ticket is $690 and the
average coach ticket is $525, how much will the airline gross if the
plane is full?
PART C (1.6 – 1.7)
Solve the inequality. Then graph your solution.
54)
2x  10  6
55) 12  5x  13
56)
 3x  4  2x  19
57) 0  x  7  5
Review Test #2: 10
58)
 3  2y 1  5
59) 3a  1  2 or 3a  1  7
Solve the equation or inequality.
60)
x3  5
61)
x7  2
Review Test #2: 11
62)
x 1  4
63)
2 x  1  15
64)
10 x  6  26
65)
x 8  0
Review Test #2: 12
66)
2x  5  9
67)
3x  4  2
Review Test #2: 13
Test Review #2
ANSWER KEY
Part B
1)
  , 6 ,2,.2,
6
5
(graph)
2) Distributive property
7) Inverse property
3) inverse property
8) Inverse property
4) Associative property
9) Associative property
5) Commutative property
10) Commutative property
6) Associative property
11) Distributive property
12) 8
13) -22
14) 157.08
16) 0
5
2
17) 0
15)
 352 ft  1mi  60 sec  60 min   1267200miles 




  4 mi hr
60
sec
5280
ft
1
min
1
hr
316800
hr



 


18) 
19) 5 cookies
20) 5.8 calories per minute
21) 24.6 miles per gallon
22) x – 10
30) -5
36) -1
23) 4y + 6x
31) 25
37) -2
24) x = -3
32)
25) n = 9
26)
y = -32
27) 11
28) 13
26
3
38) 
5
3
33) 114
39) 10
34) 4
40) 4
2
3
41) 6
35)
29) -5
Review Test #2: 14
42) Y = 5x - 10
43) y 
3.5  .1x 35  x

.5
5
44) y 
 x 1 x 1

 2x
2x
45) y 
2x  9
3
J
9a 2
3u
47) w 
8
8
48) A  B  8
7
3
49) A  B  11
2
46)
b
50) You can drive 220 miles.
51) The trip will take about 5.9 hours.
52) The hotel is 14 miles away.
53) The gross income for the plane is $194,610.
PART C
54) x  8
55)
x5
56)
x  3
62) x = -5 or x = 3
63) x = -7 or x = 8
64) x = -2 or x 
57) 7  x  12
58)  2  x  2
59) a  1 or a  2
60) x = -8 or x = 2
16
5
65) x  8 or x  8
66)  2  x  7
67) x  
2
or x  2
3
61) x  5 or x  9
Review Test #2: 15