Download Final Exam Review Sheet

Math 254SI
Practice Problems for Final Exam
Fall 2016
• A basic calculator will be allowed on the final exam BUT for some problems I will
expect you to show all the steps.
• Be sure to follow the instructions given.
• You will be allowed to use both sides of one 3” by 5” index card (or piece of
paper cut to that size) for notes.
• I will provide the Geometry handout and the Measurements handout.
• The final will have about 50 questions.
1.
Write the standard form for:
a) three million, forty-eight thousand, two
b) forty-two thousand, nine
c) seven thousand, eight hundred ninety-six
d) two hundred five thousandths
e) eleven and sixteen thousandths
f) one hundred fifty-seven ten-thousandths
2.
Write the word name for:
a) 204,564
b) 64,085
c) 3.062
d) 0.0028
3.
Round 54,786,236 to the nearest
a) million
b) ten-thousands
c) hundreds
4.
Round 69,999 to the nearest
a) thousands
b) hundreds
c) tens
5.
Round 145.2791 as indicated:
a) tenth
b) hundredth
c) thousandth
d) ten
e) hundred
6.
Add. Show all steps. 1,254 + 35 + 637 + 915
a)
12,053
− 4,671
7.
Subtract. Show all steps.
8.
Multiply. Show all steps. Do not round.
b)
(587)(312)
24,000
− 14,231
9.
Divide. Show all steps. Do not round. If there is a remainder, write it as part of your
answer.
35,875 ÷ 51
10. a) Three desks cost a total of $590. If two of the desks cost $180 each, how much
does the third desk cost?
b) There are 318 basketball fans that plan to go to a game. How many buses will be
needed, given that each bus can hold 37 fans?
c) A small theater has 9 rows of chairs with 24 chairs in each row. The theater
workers just removed 5 of these chairs. How many chairs are left?
11. Evaluate the following expressions.
a) 32 ÷ (4)(2) + 32 ÷ (4 · 2)
b)
90 – 2[(13 + 11) ÷ 3(5 – 1)]
12. Write in simplest form.
90
630
a)
b)
72
120
13. Multiply. Write your answer in simplest form, or if necessary, as a mixed number with
the fraction part in lowest terms.
a) 4 ⋅
3
14
b)
7 6
⋅
8 5
c)
3
3
⋅ 6
11
5
d) 4
1
1
⋅2
3
7
e)
7 11 5
⋅ ⋅
15 14 3
14. Divide. Write your answer in simplest form, or if necessary, as a mixed number with
the fraction part in lowest terms.
a)
7 5
÷
10 16
b)
15. Add and simplify.
a)
16. Subtract and simplify.
a)
9 15
÷
14 2
c)
4
7
3
+
+
20
20
20
29
−
33
5
33
7
1
÷ 32
5
b)
b)
d) 3 ÷ 4
1
2
1
1
3
+
+
3
6
5
7
3
−
10
8
17. Add. Write your answer as a mixed number with the fraction part in lowest terms.
5
7
1
3
a) 45
b)
73 + 13
+ 38
8
4
8
12
18. Subtract. Write your answer as a mixed number with the fraction part in lowest terms.
1
2
4
5
1
3
a) 28
b) 59 – 13
c) 63 – 21
d) 74
− 7
− 9
6
4
7
4
3
7
19. Evaluate the expression. Write your answer as a mixed number with the fraction part
in lowest terms.
a)
2 1 8
− +
3 2 15
b) 7
1
7
3
+2
−6
4
10
20
20. Evaluate. Write the answer in simplest form.
3 1 5
a)
÷ ⋅
4 6 9
3 1 5
b)
⋅ ÷
4 6 9
21. a) A bag of rare spice that weighs
2
2 7 !1$
+ # &
d)
9 8 " 3%
3 1 2
c)
− ÷
4 6 5
5
pounds will be split equally among 40 people.
8
How much spice will each person get? Write your answer in simplest form.
2
feet long. How
3
b) A pipe is 30 feet long. It needs to be cut into pieces that are each
many pieces can be made from the pipe?
c) Linda walked
1
4
miles to the music store. Then she walked another
miles to the
4
5
grocery store. What is the total distance Linda walked?
d) Dex took 2
Write your answer in simplest form.
1
1
hours to clean the bathroom. Then he took 1 hour to clean the
8
2
kitchen. Find the total time it took Dex to clean the two rooms. Write your answer
as a mixed number with the fraction part in lowest terms.
e) A bakery received a delivery of 5 bags of sugar. Each bag holds 2
2
pounds of
3
sugar. What was the total amount of sugar that was delivered to the bakery? Write
your answer as a mixed number with the fraction part in lowest terms.
22. Write as a mixed number and as an improper fraction. Write your answer in simplest
form. a) 6.55
b) 3.025
23. Write the number in its decimal form:
a)
41
1000
b)
28
10
c)
14
25
d)
31
40
e)
7
11
f) 3
5
8
24. Write the following numbers in order from smallest to largest.
a) 3.06 , 3.16 , 3.061 , 3.106
2
, 0.49, 0.42
5
3
109
c) 4 , 4.25,
, 4.257
10
25
b)
854.1602 + 17.234 + 12
25. Add. Show all steps.
26. Subtract. Show all steps. a)
7568.2004 − 2546.778
27. Multiply. Show all steps. a) 13.52 × 2.04
28. Divide. Show all steps.
a) 78 ÷ 1.5
b)
b) 258.435 − 34.0728
25.21 × 1000
b) 0.54 ÷ 12
c) 25.21 × 0.01
c) 92.8 ÷ 6.4
29. Simplify the expression.
a)
(26
2
− 23.8) + 74.4 ÷ 0.3
b) 8.52 ÷ 0.2 − 7 × 0.92
30. a) Ann bought a book for $35.28. If she paid with two $20 bills, what was her
change?
b) The average rainfall in Omaha, Nebraska is 30.22 inches. The average rainfall in
New Orleans, Louisiana is 61.88 inches. On average, how much more rain does
New Orleans receive annually than Omaha?
c) A serving of lobster meat contains 0.1 grams of saturated fat. How many grams of
saturated fat do 3 servings of lobster meat contain?
d) Raissa earns $9.75 an hour. Yesterday she worked 6.5 hours. Find how much she
earned yesterday.
31. There are 14 women and 16 men in a class. Write the ratio of women to total number
of students. Write the ratio in lowest terms.
32. Find the unit price.
a) $57.50 for 5 chairs
b) $5.10 for 6 candies
33. Solve the proportion for the unknown.
a)
b)
32
8
=
n
5
7
u
=
11
6
Round your answer to the nearest tenth.
34. a) The ratio of a quarterback’s completed passes to attempted passes is 3 to 8. If he
completed 15 passes, find how many passes he attempted.
b) A certain medicine is given in an amount proportional to a patient’s body weight.
Suppose a patient weighing 195 pounds required 279 milligrams of medicine. What
is the amount of medicine required by a patient weighing 130 pounds?
c) The ratio of men to women working for a company is 5 to 4. If there are 110 men
working for the company, what is the total number of employees?
35. Write each percent as a decimal.
a) 64%
b) 0.3%
36. Write each decimal as a percent.
a) 0.98
b) 2.5
5
8
c) 9 %
c) 0.1115
37.Write the percent as a fraction in simplest form.
a) 54%
b) 250%
c) 3.25%
d) 0.3
e) 3
38.Write each fraction as a percent.
3
5
11
c)
40
11
20
4
d)
Round your answer to the nearest tenth.
41
a)
39.Solve.
a)
b)
c)
d)
b)
3.6% of 50 is what number?
What percent of 65 is 78?
57 is what percent of 150?
1.5% of what number is 15?
40. a) At a community college, 2000 incoming freshmen are enrolled in basic college
mathematics. If this is 16% of the total students, how many students attend this
community college?
b) The price of a gallon of gasoline increased from $2.89 to $3.29. What was the
percent increase in the price of a gallon of gasoline? Round to the nearest tenth
of a percent.
c) A math book sells for $106.50.
i) Find the amount of sales tax, to the nearest cent, if the sales tax rate is
8.25%.
ii) Find the total purchase price.
d) The price of a $1499 computer is to be discounted by 20%.
i) What will be the amount, to the nearest cent, of the discount?
ii) What will be the sale price?
41. a) Convert 114 inches to feet.
b) Convert 120 fluid ounces to quarts.
c) Convert 7
1
yards to inches.
2
42. Convert as indicated. Use only whole numbers.
a) 54 inches = _______feet ________in
b) 6 feet 1 inch = ______ in
c) 30 ounces = ______pounds ______ounces
43. a) Two dressers are placed side by side. One dresser is 3 feet 6 inches wide, and the
other is 4 feet 9 inches wide. Together, how wide are they?
b) A baby is now 20 pounds 3 ounces. At the last doctor visit, the baby was 17
pounds 10 ounces. How much weight did the baby gain?
44. a) Convert 7435 milligrams to grams.
b) Convert 0.68 liters to milliliters.
c) Convert 1.7 meters to centimeters.
45. A can of soda weighs 336 grams. Find the weight, in kilograms, of 24 cans.
46. a) Convert 102° F to degrees Celsius. If necessary, round to the nearest tenth of a
degree.
b) Convert 48º C to degrees Fahrenheit. If necessary, round to the nearest tenth of a
degree.
47.A shop repairs 4 types of electronic devices. The number of repairs of each device last
week is shown in the bar graph below. Use the bar graph to answer the questions.
48. The table shows the number of students in 5 middle schools. Use the pictograph to
answer the questions.
49. The graph shows the amounts of rainfall for six months.
a) What was the least amount of rainfall in a month?
b) Did the amount of rainfall increase or decrease from April to May?
50. In a poll, students were asked to choose which of six colors was their favorite. The
circle graph shows how the students answered. If 7000 students participated in the
poll, how many chose blue?
51. Use the following list of numbers to answer the following questions.
98, 97, 95, 89, 92, 83, 87, 95
a) Find the mean.
b) Find the median.
c) Find the mode.
52. Find the median for the following list of numbers: 45, 54, 68, 50, 39
53. a) Find the supplement of a 65º angle.
b) Find the complement of a 65º angle.
54. Use the triangle given to find the measure of ∠x .
25º
x
95º
55. Find both the exact and approximate circumference and area of the circle shown.
Use π ≈ 3.14 to find the approximate circumference of this circle. Do not round.
15 meters
56. Find the perimeter and the area of the figure.
6 feet
14 feet
10 feet
8 feet
57. Find the perimeter and area of the figure shown.
6 ft
5 ft
8 ft
4 ft
7 ft
16 ft
58. Find the area of the triangle. Write your answer as a whole number or a mixed
number with the fraction part in lowest terms.
7 yd
yd
59. Find the volume of a cylinder (right circular cylinder) that has a height of 14 yards and
a diameter of 8 yards. Use 227 for π. Write your answer as a whole number or a mixed
number with the fraction part in lowest terms.
60. Find the volume of the sphere whose diameter is 18 feet. Use
22
7
for π. Write your
answer as a whole number or a mixed number with the fraction part in lowest terms.
61. Find the volume of a cone with a radius of 6 centimeter and a height of 5 centimeters.
Approximate how much ice cream is in the cone. Use 3.14 for π . Do not round.
62. a) Find square root of
121 .
25
.
49
b) Find the square root of
63. Given that the pair of triangles is similar, find the length of the side labeled x.
x
9.6
14
12
6.4
8
64. Deb wants to measure the height of a tree. The tree’s shadow is 34 feet. Deb is 5 feet
tall and her shadow is 9 feet. How tall is the tree? Round your answer to the nearest
foot.
65.Add or subtract as indicated. Simplify fractions.
a) –11 + 4
b) –8 + (–10)
c) –21 − 8
d) –14 − (–10)
e) 1.37 + (− 4.6)
f) 4.65 − (− 4.65)
7
2
+
18
9
2
1
i) − −
3
6
1
−3
+
3
5
"
1
3%
k) −1 − $ −2 '
3 # 4&
g) −
h) 2
l) 14 –3 + 7 – 16 –8
m) –8 – 3 + 6 – (–2) –5
66. Multiply as indicated. Simplify fractions.
a) –6(−8)
c) 5(–3)(–4)
e) −8(−0.4)
g)
b) 4(–10)
d) −6(–3)(2)(−5)
f) −5.377(100)
5 " 9%
$− '
6 # 25 &
"
5 %" 3 %
'
6 &# 14 &
h) $−1 '$−
#
67. Evaluate.
a)
4
( −3)
4
b) −3
c)
3
( −2 )
d)
−23
e)
−2 4
68. Divide as indicated. Simplify fractions.
− 15
−5
d) –8 ÷ 0
a) 18 ÷ (–3)
b)
c) 0 ÷ – 6
e)
−3 " 5 %
÷$
'
8
# −12 &
g) –0.62
f)
÷ (–0.8)
−7 " 1 %
÷ $−2 '
9
# 3&
h) –7.2 ÷ 0. 9
69. Simplify by following the order of operations.
a)
( −3)
2
− ( 4 − 9) • ( − 2 )
2
3
b) −4 ( 5 − 8 ) + 3 ( 6 − 7 )
4
c)
( −3)
− 2 − ( −2 )
8 − ( 2 − 3)
70. The all-time record low temperature for Texas is −23ºF. In Hawaii, the lowest
temperature ever recorded was 35ºF more than Texas’ all-time low temperature.
What is the all-time low temperature for Hawaii?
71. Evaluate.
72. Simplify.
x − 2y
when x = 12, y = −6, and z = −4.
3z
a)
4 − 7 ( x − 2)
b)
−6 ( x − 5) + 4( x − 3)
73. Solve.
3
5
= −
4
8
a) d + 10 = −15
b) y −
3
5
c) − x = −
4
16
e) −2 y − 10 = 5y − 10
d) 8x − 14x = −11 − (−5)
f) 3(5t − 1) − 2 = 13t + 3