TEAs Math Review – Based on ATI Study Manual
1. The sum of two unequal numbers is 23,450.
The smaller number is 2,780. What is the
larger number?
2. Convert each decimal to a percent:
• 1.33
• 0.450
• 467.00
3. Convert each percent to a decimal:
• 75.6%
• 540%
• 56.7%
4. Convert each decimal to a fraction:
• 0.560
• 0.817
• 1.80
• 2.45
5. Convert each fraction to a decimal:
• 18/10
• 5/30
• 14/18
• 17/60
6. What percentage is equivalent to 5/6?
A. 56.7%
B. 77.5%
C. 83.33%
7. What percentage is equivalent to 18/34?
A. 67%
B. 59.6%
C. 52.9%
D. 52%
8. What percentage is equivalent to 17/28?
(Round Answer)
A. 67%
B. 60.7%
C. 61%
D. 0.60714%
9. What fraction is equivalent to 6%?
A. 15/27
B. 15/25
C. 45/100
10. What fraction is equivalent to 52.9%?
A. 13/45
B. 18/34
C. 60/100
11. 3+6 x (9-5)
12. 4 + 8 – 6 x 8
13. 42 – 19 x 4 / 18 – 20 x 2
14.
6+2÷2
6+8×3
2
3
15. 7 + 5
16.
45
20
× 20
17.
8
60
÷
4
70
18. 19(4x5+6)+5(14+6x2)
19. Write in Increasing order: -3, -3 3/10, -3.41,
3.45
TEAs Math Review – Based on ATI Study Manual
20. Write in increasing order: -5, 5 ¾, 0.545, 5.6
32. 52 + 10𝑥 = 8 + 9
21. Write in decreasing order:
45, 3.6, 0.45, 3/5, -5
33. 52 × 42 + 63 ÷ 8
22. What expression compares 8.44 and 8 +
4/3?
A. 8.44 > 8 4/3
B. 8.44 < 8 4/3
9
34. (𝑥 + 4)(2𝑥 2 -3x+7)
8
23. What expression compares 34 and 45?
A. 9/34 > 8/45
B. 8/45 > 9/34
24. Solve x – 6 = 30
3
4
3
2
35. 3 5 + 5 5
25. Solve A = bh for b
26. Solve LVF = S for F
27. Solve
5𝐶
8
36. 3 4 × 3 9
= 1 for C
9
2
37. 8 10 − 3 5
28. Solve 4x + 5 = 2x + 3
2
29. (3x+16)(4x+8)
1
38. 3 7 ÷ 1 4
39. Convert into an improper fraction:
30. (3x+7) + 6 = 9(5x+2)
31. (5𝐵 × 4)(6𝐵 ÷ 3)
1
•
84
•
3 10
•
30 3
9
2
TEAs Math Review – Based on ATI Study Manual
40. Convert into a mixed number:
•
•
•
84
3
9
4
58
12
41. Your current salary is $40,000. Next year
you will get a 5% increase in your salary.
How much more money will you make next
year?
42. Sally makes $45,780 a year. Her manager
decided to give her a 10% raise in next
year's salary for her employment of 10
years. What will the new salary be next
year?
47. A T-shirt in a closing store is marked 50%
off. If the regular price is $45, what is the
reduced price?
48. What is the discounted price of a $900 new
cellphone if the company bargains 25% off
if the new unlimited plan is purchased for
$60 monthly, in total, for 12 months?
49. A car dealership (A) gives first-time buyers a
5% discount on a car worth $45,000.
However, a different car company (B) gives
10% off a car worth $46,000. Which
company should a new buyer choose?
• Company A
• Company B
43. Bridget and Ruth both make $56,000 in 1
year. If Bridget gets a 4% increase in salary,
but Ruth gets a 6% decrease, what will their
new salaries be?
44. New homes in Winter Valley are
approximately $350,750. What is the best
estimate of the price of new homes if there
is a 4% increase within the next year?
45. What is 35% of 780 pounds?
46. What is 5% of 47?
50. What is the best estimate of
84.6×689.4
?
52.7
51. Bradley spends 18 hours in a 2-week period
practicing a new language. At this rate, how
many hours will he practice in 5 weeks?
TEAs Math Review – Based on ATI Study Manual
52. Sherie spends 3 weeks babysitting for 15
hours. How many hours will she babysit
over 6 weeks?
350
250
53. The success rate for a salesperson is 1 out
of 9 calls. At this rate, how many sales
would the salesperson expect out of 40
calls?
150
100
25
50
15
25
10
50
15
5
50
30
15
10
Years
54. If a company finds that there are 5
defective smartwatches for every 1,000
checked, then how many are defective if
85,000 are produced in 1 year?
55. Susan forgot to put 2tsp of sugar in 1 of the
8 cake mixes checked. If she baked 32
batches, how many do not have sugar?
56. If Julie starts her collection of CDs and
posters of her favorite celebrity singer with
four, she adds 5 more every week, what
inequality would allow her to find how
many weeks until she has more than 60 CDs
and/or posters?
57. If Keven can save $19.50 per week and has
$35 to start, what expression can be used
to represent the number of weeks until he
has saved at least $236? W= # of weeks
Months
Weeks
58. Use the above graph to answer the
following:
• What is the average rate of change
between 50 and 30 in years?
•
What is the average rate of change
between 30 and 10 in months?
•
What is the average rate of change
between 15 and 10 in weeks?
59. Find the mean, median, and mode of the
following data set: 0, 2,6,7,2,4,8,10
60. Find the mean, median, and mode of the
following data set: 150, 125, 130, 125, 140,
140
TEAs Math Review – Based on ATI Study Manual
61. State the difference in the covariance of
the following:
•
A student who has many absences
has a decrease in grades.
• As one exercises more, his body
weight becomes less.
• The more hours you spend in direct
sunlight, the more severe your
sunburn.
• Taller people tend to weigh more
and shorter people tend to weigh
less.
• When workers get a raise, morale
improves.
62. Find the area of the shaded region. (Inside
red, it is not shaded.)
65. In Mexico, a dress is priced at 350 pesos. If
the same dress is priced at 15 U.S dollars,
how many dollars is the dress compared in
pesos if 1 peso = $0.06?
66. If a temperature news channel states that it
will be 37*C, what is the estimate of
degrees in Fahrenheit?
67. If three different sodas are consisting of 2 L,
1 L, and 1.5 L, how much mL is there are the
sodas if mixed all together?
68. If a real estate agent makes 14%
commission on the selling price of every
house or land they sell, and they sold two
properties worth $5,000 and $15,000, what
value would represent the commission
earned?
63. What is the perimeter of the shape below?
(Red is the missing horizontal and vertical
piece of shape)
69. Four plus two times a number is twice the
number. What is the number?
70. If a meteoroid travels 50,000mph, what is
the speed in feet per second? (1 mi = 5,280
ft and 1 hr. = 3,600 secs)
64. Miss Hollingsworth is preparing dinner. In
her European cookbook, a recipe needs
12mL of vanilla extract. She only has a
teaspoon for measurement. Calculate the
needed amount if 1 tsp equals 4.93mL.
71. If a lost balloon covers 3,500 miles in 7
hours, what is the average speed?
TEAs Math Review – Based on ATI Study Manual
72. What is the best estimation of the
following if using front-end estimation? 26
+ 32 + 87 + 120
73. In a popular pop star’s concert, there are
approx. 25,000 people. Of these people,
30% are girls and the remainder are boys.
How many girls and boys are at the
concert?
74. If 5/6 of $47is divided between four people,
what will each person receive?
79. If Sue puts a 2.5 wide picture frame on a 14foot wall, what should the distance be, in
feet, from the wall and the painting?
80. The perimeter of a horse and cow pasture is
480 m. The length is 40 m greater than the
width. What are the length and width of the
pasture?
81. If there is a 9.85% sales tax on a piano that
costs $5,000, then what is a correct
estimate of the final sale price after tax is
added?
75. The sum of two unequal numbers is 83.
Their difference is 35. What are the two
numbers?
76. |6𝑥 − 3| = 3
77. Five cheerleaders have a pizza they divided
into 14 pieces. If they each eat one slice,
what fraction has been eaten?
82. The length of a dining room is 15 feet and
the length of a kitchen is 18 feet. Using the
scale of 1 inch = 2 feet, then what is the
difference in length between the two
rooms?
83. If 15,706 people enrolled in a nearby
college last year, and 7,980 enrolled in the
following year, what is the decline?
78. If radio waves travel 36 feet in 6 seconds,
how far does it travel in 14.5 seconds?
84. If 14,000 people voted yes to raising the
minimum wage in 2017, but 7,500 people
voted no in 2020, then what was the
incline?
TEAs Math Review – Based on ATI Study Manual
85. If there are 32 cookies left of 450, what
percentage of the cookies were eaten?
86. Mary spent $250 of her $1,000 paycheck.
What percentage of the paycheck did she
spend?
92. If the doctor orders a 40% decrease in the
dosage of a medication, what will the
dosage be after the decrease if the current
dosage is 540 mg?
93. The nurse provides a patient with a 20%
increase in dosage of the current 220 mg.
What is the increase in dosage? What is the
dosage after the increase?
87. In a math competition, Josie scored 80, 77,
90, 70, and 84 on the last five tests. What
score does she need on her next test to
have at least a 90% to win the competition?
9
88. Using the formula 𝐹 = 5 (𝑐) + 32, what is
94. A medication is instructed to be given at
410 mg per day. Then, the doctor reduced it
by a fifth. After this reduction, the doctor
reduced it again by 15 mg. What is the final
dosage?
the conversion of 38.3*C?
89. Solve the following:
•
•
•
95. How many cubic inches of liquid could fill
this shape?
√50
√350
√63 + √7
90. A nurse gives a patient 5mL twice a day. The
bottle contains 400cc. How many days will
the bottle last?
91. If the lab needed 600 milliliters of blood
from a patient, and 1/8 was used for further
tests, how many milliliters of used for those
tests?
96. Tyler has driven 2 hours (120 miles) into a
3,507-mile drive. What is the number of
miles that Tyler still has to drive to reach
half of the destination?
97. What is the number Amy needs to pay for a
$350,000 house after paying a 20% down
payment?