Math ATI TEAS

X

10

C

100

A study on anorexia was conducted on 100 patients. within that patient population 70& were women, and 10% of the men were overweight as children. how many male patients in the study were NOT overweight as children?

27 100 - 10 = 90 20 = 10 = 30 total male children (0.90) ( 0.30) = 27

Surface Area of a Cylinder

2πrh+2πr²

3 2/5 as a percent and decimal

3 2/5 2/5 --> 0.4 + 3 = 3.4 3.4 x 100 = 340% 340% --> 3.4

1 yard = ____ feet

3 feet

Joselyn purchased a house. the cost of the home was 125 per square foot. how much did the house cost if the home has a total of 2,880 square feet?

360,000 125/ 1ft^2 = $?/2,880 ft^2 = 360,000

3/2 + (4(0.5) - 0.75) + 2

4.75

Chan receives a bonus from his job. he pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt. he has 600$ remaining. what was the total amount of Chans bonus?

4000$ 30+30+25 = 85% 85 - 100 = 15 600/0.15 = 4000

Translating word problems A patients age is thirteen more than half of 60. how old is the patient?

43 years old 1/2(60) + 13 = 43

Leo bought a dress marked at a 20% discount. If he bought the dress for at a scale of 360$, what was the original price of the dress?

450 100 - 20 = 80 365 / 0.80

V

5

L

50

Area of a triangle

A=1/2bh

Area of a rectangle

A=lw

Area of a half circle

A=πr2/2

Work/ Unit rate Janice made 40$ during the first 5 hours she spent babysitting. she will continue to earn money at this rate until she finishes babysitting in 3 more hours. find how much money Janice earned babysitting and how much she earns per hour.

Janice made $64 she earns $8 per hour 40/5 = x/8 $64 64/8 = 8

Graphing inequalities

Open dot is for <, > Closed dot is for≤, ≥

What is the formula to find the surface area of a rectangular prism

SA = 2LW + 2HL + 2WH

what is the formula for the volume of a rectangular prism

V = LWH

what is the formula for volume of a cylinder

V = πr2h

The volume of a liquid is measured in

graduated cylinder

KHDBDCM

kilo, hecto, deca, base, deci, centi, milli

if a the graph line has the tail pointing to the left it is

negatively skewed

perimeter for a semicircle

p = πr + 2r

if the tail is to the right

positively skewed

cubic feet is square feet is cubic inches

volume area v = lwh

negative correlation is

when one variable decreases the other increases

positive correlation is

when one variable increases the other increases

the sum of two numbers is 20. write an equation, in terms of x, which states that the product of one number and the square of the other is 50.

x *(20 - x)^2 = 50

four more than a number, x, is less than 1/3 of another number, y.

x + 4 = 1/3y- 2

a number increased by seven is less than or equal to twice that number decreased by four.

x + 7 ≤ 2x -4

The unit cost for a pound of ground beef is $3.98. at that rate, how much would it cost for 2.5 pounds?

x = $9.95 3.98/ 1 pound = x/ 2.5 pounds = 9.95

in an intensive care unit, the nurse to patient ratio is 1:2. If seven nurses are on duty, how many patients are currently in the ICU?

x = 14

The McDonalds are taking a family road trip, driving 300 miles to their cabin. it took them 2 hours to drive the first 120 miles. they will drive at the same speed all the way to their cabin. find the speed at which the McDonalds are driving and how much longer it will take them to get to their cabin.

x = 60 MPH x = 3 hours 120 miles/ 2 hours = x/ 1 hour = 60 mph 300 - 120 = 180 miles left 180 miles/ x ( hours) = 60 miles/ 1 hour = 3 hours

At a hospital, for every 20 female patients there are 15 male patients. this same patient ratio happens to exist at another hospital. If there are 100 female patients at the second hospital , how many male patients are there?

x = 75

Graphing Inequalities -2x + 5 ≥ 19

x ≤ - 7 if you multiply or divide by a negative you flip the inequality sign

5y − 8 > 32

y > 8

Rational Numbers from greatest to least 0.3, 27%, √100, 72/9, 1/9, 4.5

√100, 72/9, 4.5, 0.3, 27%, 1/9

-2, -3/4, -0.45, 0.36, 3%

-2, -3/4, -0.45, 3%, 0.36

Mathew has to earn more than 96 points on his high school entrance exam in order to be eligible for varsity sports. each question is worth 3 points, and the test has a total of 40 questions. Let x represent the number of test questions. How many questions can Matthew answer incorrectly and still qualify for varsity sports?

0 ≤ X < 8 3x > 96 3x/3 > 96/ 3 x > 32

Roman Numerals I

1

It takes Andy 10 minutes to read 6 pages of his book. he has already read 150 pages in his book that is 210 pages long. find how long it takes Andy to read 1 page and also find how long it will take him to finish his book if he continues to read at the same speed.

1 minute and 40 seconds 100 minutes to finish his book

In a neighborhood 5% of the houses have red mailboxes. A student counts 60 red mailboxes in the neighborhood. which of the following is the number of house in the neighborhood?

1,200 60/0.05 = 1,200

Finding percentages of Percentages Dr less saw that 30% of all his patients developed an infection after taking a certain antibiotic. he further noticed that 5% of all those 30% required hospitalization to recover from the infection. what percentage of the Dr. Lees patients were hospitalized after taking the antibiotic?

1.5% (0.30)( 0.05) = 0.015 0.015 x 100 = 1.5% finding percentages of percentages is Multiplication <3

1 meter

100 centimeters

M

1000

kilo hecto deca base unit deci centi milli

1000 100 10 1 0.1 0.01 0.001

1 gram is

1000 milligrams

Sales Tax the sales tax on a purchase was $7.00. the sales tax rate was 6.25%. what was the price before tax?

112 7/0.0625 = 112

According to a hospital survey, 82% of nurses were highly satisfied at their job. of 145 nurses, how many were highly satisfied?

119 because 118.9 is not a whole person

1 foot = ____ inches

12 inches

a patient was given 100 mg of a certain medicine. the patients dosage was later decreased to 88 mg. what was the percent decrease?

12%

A patient was given 40 mg of a certain medicine. Later, the patients dosage was increased to 45 mg. what was the percent increase in his medication?

12.5%

***AFTER a 15% discount the TV cost $102.00 What was the original cost?

120$ 100-15 = 85% 102/ 0.85 = 120

A coat was marked down 15% of its original price, which made the new price $ 18.00. which of the following was the original price of the coat?

120.00 18/0.15 = 120.00

how much will a family spend on gas for a road trip if their vehicle gets 21 miles per gallon and their total trip distance was 1,200 miles, assuming the price per gallon is $2.12? Round to the nearest dollar.

121$ 1,200 miles/ 21 mpg = 57.1428 x 2.12$ = 121.142

Fred buys some CDs for $12 each. He also buys two DVDs. the total that Fred spent is $60. so write an equation that shows the connection between the number of CDs and the average cost of a DVD.

12c + 2d = 60

veronica has to create the holiday schedule for the neonatal unit at her hospital. she knows that 35% of the staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20 % are certified to work in neonatal unit. what percentage of the total staff is certified and available to work in the neonatal unit during the holiday?

13% 100-35 = 65% (0.65)(0.20) = 0.13 x 100 = 13%

what is 14.5% of 96

13.92 14.5/100 = 0.145 0.145 x 96 = 13.92

15/100 as a percent

15%

Converting Percent's, Fractions, and Decimals 15 % as a fraction

15/100 3/20

You buy a pair of jeans that is 33% off the original price of $29. What is the sale price?

19.43

1/2 + (3( 3/4) - 2) + 4

19/4

a patient complaining of fatigue and weight gain was diagnosed with hypothyroidism and was prescribed 125 mcg of medication. three months later, her symptoms had improved, and her thyroid stimulation hormone (TSH) level was found to be 0.5 mIU/ L. the doctor reduced the patients thyroid medication dosage to 100 mcg, after which the patients TSH level was found to be 1.5 mIU/L, which is within the normal range. by what percentage did the doctor reduce the patients thyroid medication?

20%

Discounts a 75$ sweater is discounted by $15. which of the following is the percent of the discount?

20% 15/75 = 0.2 x 100 = 20%

the graph represents the results of a survey of 90 students regarding the types of exercise which of the percent surveyed walk regularity. walk on the char is 18 students

20% 18/90 = 0.20 x 100 = 20%

Percent Change During a shift, a new nurse spent five hours of her time observing procedures, three hours working in the oncology department, and four hours doing paperwork. during the next shift, she spent four hours observing procedures, six hours in the oncology department, and two hours doing paperwork. what was the percent change for each task between the two shifts?

20% observing procedures 100% working in the oncology department 50% working on paperwork

Real world problems with proportions and Ratios A patient was given 100 mg of a medicine every two hours. How much medication will the patient receive in four hours?

200 100Mg/ 2 hours = x (mg)/ 4 hours 200 = x

24.36% as a fraction

24.36/100 Simplify by starting off with the smallest numbers 609/ 2500

a box in the form of a rectangular solid has a square base of 5 feet in length, a width of 5 feet, and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which of the following equations may be used to find h?

25h = 200 200 = 5 x 5 x h volume = length x width x height

how many times can you put a roman numeral

3 times Don't put 4 roman numerals together <3

Jeremey put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches from the ground across the center to the top of the tire. When eh rolled the bike, the chalk left marks on the sidewalk. which expression can be used to best determine the distance, in inches, the bike rolled from the first mark to the fourth mark?

3(27π)

five less than three times the sum of a number and four is twenty two

3(x+4) -5 = 22

Four gallons of gas cost $ 12.80. what was the price of gas per gallon?

3.20 per gallon 12.80/ 4 gal = x/ 1 gallon = 3.20 per gallon

John and Luke play basketball every week. John can make 5 free throws per minute faster than Luke can make three point shots. one day, john made 30 free throws in the same time that it took like to make 10 three point shots. how fast are Luke and John scoring points?

30/ x + 5 ( john made 30 free throws, and he had a rate of 5 free throws per minute) 20/x ( Luke made 20 three point shots in the same amount of time john scored his free throws) 30/x +5 = 20/x x = 10. Luke's speed was 10 three points shots per minute Johns speed was 15 free throws per minute

Lauren must travel a distance of 1,480 miles to get to her destination. she plans to drive approximately the same number of miles per day for 5 days. which of the following is a reasonable estimate of the number of miles she will drive per day?

300 miles 1,500 miles/ 5 days

Estimation estimate the solution to 345,932 + 96,369

300,000 + 100,000 = 400,000

Derek purchased concert tickets in the month of June for 73$, 66$, 96$, 17$, 66$ dollars. which of the following is an accurate estimate to the total amount he spent on concert tickets in June?

330 $ 73= 70 66= 70 96= 100 17= 20 66= 70

7 students in a class of 20 made a perfect score on a quiz. which of the following is the percent of students who made the perfect score?

35% 7/20 = 0.35 x 100 = 35%

percent problems what is 30% of 120

36 0.30 x 120

Roberts is planning to drive 1,800 miles on a cross country trip. If his car gets 30 miles to the gallon, and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

5 tanks of gas 12 x 30 = 360 1,800 miles/ 360 = 5 tanks

D

500

you buy a pair of shoes for 40$ that was marked down 30% what was the original price?

57.14 100 - 30 = 70% 40/ 0.70

a pair of tory Burch shoes are on sale for 191.40$ which is 33% of the original price. what is the regular price?

580 191.40/ 0.33 = 580

six less than fives times a number is nine

5x - 6 = 9

Jose wins big on a scratch off ticket after paying 25% in taxes and paying off his car loan of $23,000, he has $22,000 left. what was the grand prize of the scratch off before taxes were applied and before Jose paid off his car loan?

60,000 23,000 + 22,000 =45,000 100 - 25 = 75% 45,000/ 0.75 = 60,000

seven more than a number is eighteen

7 + x = 18

seven more than the quotient of a number and 3 is

7 + x/3 = 10

A patients heart beat 422 times over the course of six minutes. about how many times did the patients hear beat during each minute?

70 Remember if there's only two numbers divide - about how many times = estimate 420/ 6 = 70

in a performance review, an employee received a score of 70 out 100 for efficiency and 90 out of 100 for meeting project deadlines. six months later, the employee received a score of 65 out 100 for efficiency and 96 out of 100 for meeting project deadlines. what was the percent change for each score on the performance review?

70% - 65% = 5 % efficiency 96% - 90% = 6% project deadlines Subtract for percent change <3

At a hospital, 3/4 of the 100 beds are occupied today. yesterday, 4/5 of the 100 beds were occupied. on which day were more of the hospital beds occupied and by how much more?

75 beds are occupied today, 80 yesterday therefore five more beds were occupied yesterday than today

In a hospital emergency room, there are 4 nurses for every 12 patients. what is the ratio of nurse to patients? If the nurse to patient ratio remains constant, how many nurses must be present to care for 24 patients?

8 nurses

Area of a circle

A=πr²

Formula for circumference of a circle

C = 2πr

Sarah is 5 years younger than her brother john, but she is 10 years older than her sister Cameron. If the sum of all three of their ages is 65 how old is Sarah.

Sarah is 22 years old x + x + 5 + x - 5 = 65 3x - 1 = 65 3x = 64 x = 22

Solve equations in one variable Ray earns $10 an hour. Ray makes $360. How many hours did he work to make $360?

X = 36 360/10 Simple division

two weeks ago, 2/3 of the 60 patients at a hospital were male. Last week, 3/6 of the 80 patients were male. During which week were there more male patients?

two weeks ago 40 patients last week 40 patients the number of male patients was the same both weeks

Non word Proportion Problems 45%/ 12% = 15%/ x Solve for x

x = 4% 0.45/ 0.12 = 0.15/ x = 0.04 x 100 = 4%

0.50/ 2 = 11.50/ x

x = 6