Mth 098 Practice problems for test 1. Fall 2008
(Sections 9.1, 2, 8, 10.1 - 10.6)
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
Name: __________________________ Date: ________
14) 3 times a number equals 6 less than 4 times the
number.
Find the value of the exponential expression.
1) 3 3
2)
15) Twice a number less 4 equals 4.
3 2
5
16) The sum of two-thirds a number and 33 is 16.
Simplify the expression.
17) 8a - 5a + 3
Simplify.
3) 6 2 + 42
18) 6 + 4(6 - 4m)
4) -2 + 3 · 3
19) -14 - (4 - 15p)
Find the value of the expression.
5) (2 + 6)[3 + (6 + 3)]
6)
Simplify the expression by combining like terms.
20) 2p2 + 2p3 - 4p2 - 9p3
6(2 + 1) - 7(1 + 1)
6(4 - 2) - 2 3
21) -4(9r + 8) + 8(3r + 6)
Find the numerical value of the expression for a) x = 4 and
b) x = 18.
4x - 2
7)
3x
22) -3(5t + 8) - (2t + 3) - 3t + 11
23) -2.9p + 5.8 - (5p + .3) + 5.8p
Write the phrase as a mathematical expression. Use x to
represent the number. Combine like terms if possible.
Evaluate the expression for the given values. If necessary,
round to the nearest tenth.
24) A number multiplied by -8, subtracted from
the sum of 16 and two times the number.
8) 6x + 8y + 6; x = 2, y = 6
9)
x(y + 4)
x = 9, y = 6
5(x - y)
Solve the equation.
25) z + 2 = 6
State the phrase as a mathematical expression. Use x to
represent the variable.
26) -16.0 - s = 23.2
10) A number increased by two
27) 6x + 5 = 5 + 6x
11) The difference between seven times a number
and five
28) -5m - 3 = -4m - 11
29) -6b + 3 + 4b = -3b + 8
12) The product of two and six more than a
number
30)
Change the word statement to an equation. Use x as the
variable.
13) A number minus 3 equals 5.
9 1
9
4
x + 1 = - x + 5 5
5
5
31) 6.9x - 5.7 - 9.2x = -2.3x - 5.7
1
Solve the equation.
1
5
49) (x - 5) + (x + 2) = x + 1
3
6
32) -3(-6x + 5) + 2(3 + 4x) = 6 + 27x
33) 8a = -48
Section 10.4
Solve the problem.
34) -27.0 = -4.5c
50) The difference between two positive integers is
60. One integer is three times as great as the
other. Find the integers.
1
35) 9 = a
7
n
= 9
2
51) One half of a number is 3 more than one-sixth
the same number. What is the number?
1
5
37) - m = 2
8
52) The sum of twice a number and 2 less than the
number is the same as the difference between
-10 and the number. What is the number?
36)
38) 2x + 7 = 5x - 1
53) The sum of two consecutive integers is -387.
Find the larger integer.
39) -9x + 3x + 3 = 8x
54) If the first and third of three consecutive odd
integers are added, the result is 87 less than
five times the second integer. Find the third
integer.
40) 8n - 9 = 7
41) 10w - 8 = 7 - 8w
55) The sum of three consecutive even integers is
246. Find the integers.
42) 6x - (2x - 1) = 2
Section 10.5
43) 6(x + 3) - (6x + 18) = 0
A formula is given along with the values of all but one of
the variables in the formula. Find the value of the
variable not given. Round to the nearest hundredth where
necessary.
4
56) V = πr3 ; r = 3, π = 3.14
3
Solve the equation by first clearing the fractions.
1
1
44) (r + 6) = (r + 8)
6
3
45)
1
f - 3 = 1
2
57) P = 2L + 2W; P = 14, W = 2
1
46) - (x - 10) - 1 (x - 1) = x + 8
5
1
58) A = bh; b = 18, h = 8
2
2
6
12
47) - t + 2t = t + 3
5
5
Solve the formula for the specified variable.
1
59) A = bh for h
2
Solve the equation by first clearing the decimals.
48) 0.3x - 0.2(60 + x) = -0.15(60)
60) S = 2πrh + 2πr2 for h
61) P = a + b + c for a
2
9
62) F = C + 32 for C
5
MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.
72) 18x + 6 > 3(5x + 3)
63) A = P(1 + nr) for n
Section 10.6. Show the interval
notation for each of the problems
below.
A) x > 1
Graph the inequality.
-6
-5
-4
-1
0
1
2
3
-2
-1
0
1
2
3
-2
-1
0
1
2
3
-2
-1
0
1
2
3
-8
-7
-6
-5
-4
-8
-7
-6
-5
-4
-8
-7
-6
-5
-4
-8
-7
-6
-5
-4
B) x ≥ 1
64) x ≥ 1
-7
-2
-3
-2
-1
0
1
2
3
4
5
6
C) x < 1
65) x ≤ -6
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
D) x ≤ 1
6
66) -1 ≤ x < 3
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
73) -42x - 6 ≤ -6(6x - 5)
6
Solve the inequality, then graph the solution.
A) x < -6
67) -4n - 12 > -5n - 8
-9
B) x ≤ -6
68) 9 - 3t + 4 ≥ -4t + 16
-9
C) x ≥ -6
-9
69) 11x < 33
D) x > -6
-9
70) 3x ≤ - 36
71) -0.6z > - 0.12
3
Answer Key
Testname: 098 PRACTICE PROBLEMS TEST 1 SPR 08
1) 27
9
2)
25
3)
4)
5)
6)
52
7
96
1
5
6
42)
1
4
43) All real numbers
44) -4
45) 8
25
46) - 11
35
7
7) a) b) 27
6
8) 66
9) 6
10) x + 2
11) 7x - 5
12) 2(x + 6)
13) x - 3 = 5
14) 3x = 4x - 6
15) 2x - 4 = 4
2
16) x + 33 = 16
3
47) 18
48) 30
49) 6
50) 30 and 90
51) 9
52) -2
53) -193
54) 31
55) 80, 82, 84
56) 113.04
57) 5
58) 72
2A
59) h = b
17) 3a + 3
18) 30 - 16m
19) -18 + 15p
20) -2p2 - 7p3
21) -12r + 16
22) -20t - 16
23) -2.1p + 5.5
24) (16 + 2x) - (-8)x; 16 + 10x
25) 4
26) -39.2
27) All real numbers
28) 8
29) 5
13
30)
5
60) h = S - 2πr2
2πr
61) a = P - b - c
5
62) C = (F - 32)
9
63) n = A - P
Pr
64) [1, ∞)
-7
31) All real numbers
32) -15
33) -6
34) 6.0
35) 63
36) 18
4
37) - 5
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
65) (-∞, -6]
-7
-6
66) [-1, 3)
-7
-6
67) n > 4
(4, ∞)
8
38)
3
39)
41)
3
14
1
40) 2
4
2
3
4
5
6
7
Answer Key
Testname: 098 PRACTICE PROBLEMS TEST 1 SPR 08
68) t ≥ 3
[3,∞)
0
1
2
3
4
5
6
1
2
3
4
5
6
-14
-13
-12
-11
-10
-9
69) x < 3
(-∞,3)
0
70) x ≤ -12
(-∞, -12]
-15
71) x < 0.2
(-∞, 0.2)
-3
-2
-1
0
1
2
3
72) A
73) C
5