Math 0306 Fundamentals of Math I
REVIEW for Test # 1 (Chapters 1 & 2)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Answer the question.
1) What does the digit 4 mean in the number 247,189?
A) 4 hundred thousands
B) 4 ten thousands
C) 4 hundreds
D) 4 thousands
1)
Write expanded notation.
2) The number of school children in a European country is 555,242.
A) 5 hundred thousands + 55 + thousands + 4 hundreds + 4 tens + 2 ones
B) 55 ten thousands + 5 thousands + 2 hundreds + 4 tens + 2 ones
C) 5 hundred thousands + 5 ten thousands + 5 thousands + 2 hundreds + 42 ones
D) 5 hundred thousands + 5 ten thousands + 5 thousands + 2 hundreds + 4 tens + 2 ones
Write a word name for the number in the sentence.
3) Astronomers predicted that it would take 900,070,000,100 earth years for the newly found
supernova to make one revolution around the center of its galaxy.
A) Nine hundred million, seventy thousand, one hundred
B) Ninety billion, seven hundred million, one hundred thousand
C) Nine hundred seventy thousand, one hundred
D) Nine hundred billion, seventy million, one hundred
Rewrite the following number using digits.
4) Ten million, three hundred fifty-four thousand,
two hundred three
A) 135,423
B) 10,354,203
C) 1,354,203
Complete the equation to illustrate the commutative law of addition.
6) 14 + 6 =
A) 6 + 8
B) 6 + 14
C) 7 + 14
D) 1,354,230
D) 5 + 9
Find the perimeter of (the distance around) the figure.
7)
156 yd
156 yd
A) 1469 yd
527 yd
3)
4)
Insert parentheses to illustrate the associative law of addition.
5) 6 + (6 + 4) = 6 + 6 + 4
A) 6 + (6 + 4) = ((6 + 4) + 6)
B) 6 + (6 + 4) = (6) + 6 + 6
C) 6 + (6 + 4) = (6 + 6) + 4
D) 6 + (6 + 4) = (6 + 6 + 4)
392 yd
2)
5)
6)
7)
238 yd
B) 1233 yd
C) 1313 yd
1
D) 1231 yd
Write a related addition sentence.
8) 78 - 11 = 67
A) 75 = 11 + 67, or
B) 78 = 11 + 67, or
75 = 11 + 67
78 = 67 + 11
C) 89 = 11 + 78, or
89 = 11 + 78
Write two related subtraction sentences.
9) 74 + 0 = 74
A) 74 - 74 = 0 and 148 - 0 = 148
C) 74 - 74 = 0 and 74 - 0 = 74
D) 78 = 10 + 68, or
78 = 10 + 68
B) 148 - 74 = 74 and 74 - 0 = 74
D) 148 - 74 = 74 and 148 - 0 = 148
8)
9)
Write an addition sentence and a related subtraction sentence corresponding to the situation. You need not carry
out the subtraction.
10) In a fish tank at Bob's Pet Store there are 62 fish and 14 turtles. How many more fish are
10)
there than turtles?
A) 14 + = 62, = 62 - 14
B) 62 + = 15, = 15 - 62
C) 62 + 14 = , = 14 - (63)
D) 62 + = 14, = 14 - 62
Estimate the sum as indicated. Then answer the question.
11) Estimate the following sum by first rounding to the nearest ten. Does the estimate give you
reason to doubt the stated sum?
11)
537
23
489
+ 112
1161
A) Estimate: 1160 ; no
C) Estimate: 1010 ; yes
B) Estimate: 1140 ; no
D) Estimate: 1230 ; yes
Estimate the sum or difference by rounding each number to the nearest hundred.
12) Andy wants to buy a refrigerator for $899, a stove for $859, and a dishwasher for $249.
Round each cost to the nearest hundred to estimate the total cost.
A) $2100
B) $1900
C) $2000
D) $1800
Estimate the sum or difference by first rounding to the nearest thousand.
70,347
13)
- 35,691
A) 34,800
B) 34,000
C) 35,000
Use < or > for to write a true sentence. Draw a number line if necessary.
14) 617 653
A) >
B) <
2
12)
13)
D) 34,700
14)
Use the given table or graph to write the inequality described.
15) The sales figures for the Big "D" Company area shown below in a line plot.
15)
Use an inequality to compare the sales for July 2000 and July 2001.
A) $46,000 < $64,000
B) $48,000 < $58,000
C) $64,000 > $50,000
D) $50,000 < $64,000
Write a multiplication sentence that corresponds to the situation.
16) Julie can bike 56 miles a day. If she can vacation for 23 days, what is the maximum distance
she can cover?
A) 56 + 23
= 79 miles
B) 56 × 23 = 1298 miles
C) 56 + 56 × 23 = 1344 miles
Multiply.
17) 9(6248)
A) 56,132
18) (41)(92)
A) 3772
16)
D) 56 × 23 = 1288 miles
B) 56,232
C) 56,242
B) 3762
C) 3782
D) 56,332
D) 3872
Estimate the answer by rounding as indicated.
19) James' drive from home to work is 31 miles one way. If in a month he goes to work 22 days,
then how many miles does he drive going from home to work and back in one month?
Estimate by rounding both numbers to the nearest ten.
A) 1500 miles
B) 900 miles
C) 1750 miles
D) 1200 miles
3
17)
18)
19)
Find the area of the region.
20) A homeowner is planning a vegetable garden and needs to know the area to determine how
much compost to add. Find the area of the rectangular garden.
20)
4 ft
8 ft
A) 48 sq ft
B) 64 sq ft
C) 16 sq ft
D) 32 sq ft
Write a division sentence that corresponds to the situation.
21) Steve's company has to ship 111 engines. If a truck can hold 37 engines, how many
truckloads are needed to ship all of the engines?
A) 111 ÷ 37 = 3
B) 111 ÷ 111 = 1
C) 12,321 ÷ 3 = 4107
D) 111 ÷ 1 = 111
Write a related multiplication sentence.
22) 54 ÷ 27 = 2
A) 54 = 2 · 27, or
B) 100 = 4 · 25, or
54 = 27 · 2
100 = 25 · 4
C) 108 = 54 · 2, or
108 = 2 · 54
Write two related division sentences.
23) 3 · 29 = 87
A) 1 = 87 ÷ 87 and 1 = 3 ÷ 3
C) 2523 = 7569 ÷ 3 and 261 = 7569 ÷ 29
D) 27 = 1 · 27, or
27 = 27 · 1
B) 87 = 87 ÷ 1 and 2523 = 7569 ÷ 3
D) 3 = 87 ÷ 29 and 29 = 87 ÷ 3
Divide, if possible. If not possible, write "not defined."
193
24)
0
A) 31
Divide.
25) 863 ÷ 24
A) 35 R 23
Solve by trial.
26) 72 ÷ n = 12
A) 4
Solve.
27) x + 3 = 21
A) 8
21)
22)
23)
24)
B) 0
C) 193
B) 33 R 7
C) 35
B) 7
C) 60
B) 63
C) 24
4
D) Not defined
D) 34 R 15
D) 6
D) 18
25)
26)
27)
28) 153 = m · 9
A) 1377
B) 153
C) 17
D) 9
Solve the problem.
29) During the last four months of a recent year, Annie's Natural Food Store reported the
following sales.
September
October
November
December
28)
29)
$2190
$3334
$2187
$4328
How much more were the sales in December than the sales in November?
A) $6515
B) $6415
C) $2141
D) $2041
30) 445 chocolates are to be packed into boxes each of which will contain 11 chocolates. How
many boxes of chocolates will there be? How many chocolates will be left over?
A) 40 boxes; no chocolates left over
B) 39 boxes; 6 chocolates left over
C) 39 boxes; 5 chocolates left over
D) 40 boxes; 5 chocolates left over
30)
31) Susan's backyard is rectangular with dimensions 35 yd by 73 yd. Carlos's backyard is
rectangular with dimensions 28 yd by 48 yd. How much larger is the area of Susan's
backyard than the area of Carlos's backyard?
A) 1211 yd2
B) 3899 yd2
C) 64 yd2
D) 2555 yd2
31)
32) Danny buys 5 books at $46 each and pays for them with 10-dollar bills. How many $10 bills
did it take?
A) 6
B) 230
C) 220
D) 23
32)
Write exponential notation.
33) 8 · 8 · 8 · 8
A) 32
B) 8 2
C) 8 4
D) 4 8
33)
Evaluate.
34) 123
A) 1331
B) 36
C) 1728
D) 531,441
34)
Simplify.
35) 112 + 12 · 11 - (12 + 3 · 5)
A) 226
B) 256
C) 178
Find the average.
36) Ages of patients (in years) in a clinic: 16, 3, 25, 16
(Round to the nearest whole number)
A) 16 years
B) 3 years
C) 14 years
5
D) 1436
35)
36)
D) 15 years
Simplify.
37) 81 ÷ 3 + {7 × [18 - (2 × 2)]}
A) 120
B) 115
C) 125
D) 128
37)
Write < or > between the pair of numbers to make the statement true.
38) 0
38)
-1
A) <
B) >
Find the following.
39) Find -(-x) when x is 148.
A) -296
B) 147
C) 148
Find the opposite (additive inverse) of the number.
40) -9
-1
A) 9
B)
9
Evaluate - -x given x.
41) 54
A) 22
Add.
42) -24 + 22 + (-11)
A) 9
Simplify.
43) -3 + 15 - 16 + (-6)
A) -8
C) -9
B) 54
C) -54
B) 57
C) 35
B) -10
C) 2
D) -148
D)
1
9
D) -22
D) -13
D) 22
Solve the problem.
44) Your bank account has $58 in it when you write checks for $45, $50, and $54. You then
deposit $14 and $53. How much is in the account? Are you overdrawn?
A) -$24, yes
B) $140, n o
C) $30, n o
D) -$140, yes
Multiply.
45) (-5)(-6)
A) -11
46) 6 · (-5) · (-6)
A) -5
B) 30
C) 11
B) 180
C) -24
D) -30
D) -180
39)
40)
41)
42)
43)
44)
45)
46)
Simplify.
47) (-2)3
A) 2
B) -4
C) -8
6
D) 8
47)
Divide, if possible.
-39
48)
3
A) -
1
13
Simplify, if possible.
49) 17 - 6 - 9 · 8
A) 41
50)
51)
B) -13
C) -23
B) -103
C) 137
D) 13
D) -7
24 - 3 2
(-3)2 - 2 2
A) 3
Evaluate.
48)
50)
B) -
135
13
C)
33
5
D) - 3
y
, for y = -36 and z = 4
z
A) -9
52) -2x2 + 4x - 2, for x = 2
A) -2
51)
B) 4
C) 9
B) 2
D) -4
C) -12
D) -6
For the given expression, write two equal expressions with negative signs in different places.
4
53) b
Evaluate
49)
A)
-b
b
and
-4
4
B) -
C)
-4
-4
and
-b
-b
D)
52)
53)
-4
4
and -b
b
-4
4
and
-b
b
-a a
a
,
, and - for the given values.
b -b
b
54) a = 24 , and b = 6
A) 4; 4; 4
B) -24; 4; 24
C) -4; -4; -4
D) -4; -4; 4
54)
Evaluate.
55) 5x 2 , for x = 10 and x = -10.
A) 500, 500
B) 2500, 500
C) -500, 500
Use the distributive law to write an equivalent expression.
56) -5(-3x - 3y + 5)
A) 15x - 3y + 5
B) 15x - 15y - 25
C) 15x + 15y - 25
57) (7 + u + v)9
A) 7 + u + 9v
D) 500, -500
D) 15x + 15 + 5
55)
56)
57)
B) 63 + u + v
C) 63 + 9u + 9v
7
D) 63 + 7u + 7v
Combine like terms.
58) 27x - 7y + 11 - 10x - 7 - 3y
A) 17x - 4y + 4
B) -17x - 4y + 4
C) -17x - 10y + 4
D) 17x - 10y + 4
Find the perimeter of the polygon.
59)
33 m
12 m
A) 45 m
59)
12 m
27 m
B) 33 m
C) 84 m
D) 324 m
Solve the problem.
60) What will it cost to buy ceiling molding to go around a rectangular room with length 17 ft
and width 11 ft? The molding costs $3 per foot.
A) $168
B) $66
C) $102
D) $84
Solve the equation.
61) 8n - 4 = 12
A) 2
62) -21 = 4x + 7
A) -28
58)
B) 12
C) 8
B) -32
C) 12
8
D) 5
D) -7
60)
61)
62)