Exam
H 0312 Chapter 7 Prac Test
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Simplify the rational expression.
6 - 3x
1)
14 - 7x
2)
1)
4x + 4
2)
20x2 + 28x + 8
3)
3x2 - 30x + 63
x-7
3)
4)
x3 - 216
6-x
4)
Multiply. Simplify if possible.
4x2 10
·
5)
5
x3
6) 7x4 ·
Solve.
5)
x2 y
63x3y2
6)
7)
5p - 5
5p2
·
9
p2 - p
7)
8)
(a - z)2
a
·
a+z
2
a - az
8)
9)
x2 + 10x + 16 x2 + 10x + 24
·
x2 + 8x + 12 x2 + 12x + 32
9)
10) Find the area of the rectangle.
10)
4x
feet
x2 - 81
x+9
feet
5x3
1
Divide. Simplify if possible.
6m 2x 42m 2 x2
÷
11)
30mx
7mx2
12)
11)
(a - y)2 a2 - ay
÷
a+y
a
13) (x + 7) ÷
12)
x2 - 9x + 14
2-x
13)
14)
33x - 33 11x - 11
÷
5
15
14)
15)
z 2 + 7z + 10
z2 + 5z
÷
z 2 + 9z + 14 z 2 + 14z + 49
15)
Perform the indicated operations. Simplify if possible.
8x2 + 13x - 6 x2 - 6x
8x + 16
·
÷
16)
7x - 42
2
64x - 9
5x3
16)
Perform the indicated operation. Simplify if possible.
4
1
+
17)
5x 2x
18)
17)
10 81
+
5x 9x
18)
5
4
8 2x
19)
19) -
20)
3
5
2
x
x
20)
21)
5
8
+
x + 8 9x + 72
21)
22)
7
12
+
x-9 9-x
22)
23)
-5
9
2
x - 4 4 - x2
23)
24)
x2 - 7
7 - 5x
+
2
x + 2x - 35
35 - 2x - x2
24)
2
25)
x-3
5x + 4
+
2
2
x + 2x - 48 x + 3x - 40
25)
26)
3
7
+
y2 - 3y + 2 y2 - 1
26)
27)
x
5
2
2
x - 16 x + 5x + 4
27)
Perform the indicated operations. Simplify if possible.
x
5
6
+
28)
2
x
5
x
+
x - 25
29)
Simplify.
30)
28)
15
3
5
+ +
2
x
x
+3
x + 3x
29)
30)
32
7x
4
35x
31)
31)
3
9+
x
x
1
+
4 12
32)
x-
33)
32)
2
1x
4
x
33)
x
1
16 x
1+
4
x
Solve the equation.
14
1
=534)
x
x
34)
3
35)
x+3 x+4
=
4
5
35)
36)
x-5 x+8
=
8
5
36)
1 12
=
x x2
37)
37) 1 +
38)
x
-2x
2x - 3
=
+
2x + 2 4x + 4
x+1
38)
39)
1
2
-4
+
=
x + 7 x + 3 x2 + 10x + 21
39)
Solve the equation for the specified variable.
1 1
40) + = c; for b
a b
41) The simple interest formula: P =
42)
Solve.
40)
A
; for r
1 + rt
41)
V
1
= ; for h
2
r h 3
42)
43) A painter can finish painting a house in 5 hours. Her assistant takes 7 hours to finish the
same job. How long would it take for them to complete the job if they were working
together?
43)
44) A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the
same job. How long would it take for them to complete the job if they were working
together?
44)
45) In a race, Car A starts 1 mile behind Car B. Car A is traveling at 65 miles per hour, while
Car B is traveling at 50 miles per hour. How long will it take for Car A to overtake Car B?
45)
46) A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on
mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than
on level ground, find its rate in the mountains.
46)
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