Math ATI TEAS
2023 UPDATE
Converting Percent's, Fractions, and Decimals
15 % as a fraction - ANS-15/100
3/20
15/100 as a percent - ANS-15%
24.36% as
... [Show More] a fraction - ANS-24.36/100
Simplify by starting off with the smallest numbers
609/ 2500
3 2/5 as a percent and decimal - ANS-3 2/5
2/5 --> 0.4 + 3 = 3.4
3.4 x 100 = 340%
340% --> 3.4
Graphing Inequalities
-2x + 5 ≥ 19 - ANS-x ≤ - 7
if you multiply or divide by a negative you flip the inequality sign
Graphing inequalities - ANS-Open dot is for <, >
Closed dot is for≤, ≥
5y − 8 > 32 - ANS-y > 8
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?
- ANS-0 ≤ X < 8
3x > 96
3x/3 > 96/ 3
x > 32
Rational Numbers from greatest to least
0.3, 27%, √100, 72/9, 1/9, 4.5 - ANS-√100, 72/9, 4.5, 0.3, 27%, 1/9
-2, -3/4, -0.45, 0.36, 3% - ANS--2, -3/4, -0.45, 3%, 0.36
Solve equations in one variable
Ray earns $10 an hour. Ray makes $360. How many hours did he work to make $360?
- ANS-X = 36
360/10
Simple division
Non word Proportion Problems
45%/ 12% = 15%/ x
Solve for x - ANS-x = 4%
0.45/ 0.12 = 0.15/ x = 0.04 x 100 = 4%
0.50/ 2 = 11.50/ x - ANS-x = 6
Translating word problems
A patients age is thirteen more than half of 60. how old is the patient? - ANS-43 years
old
1/2(60) + 13 = 43
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. - ANS-Sarah is 22
years old
x + x + 5 + x - 5 = 65
3x - 1 = 65
3x = 64
x = 22
six less than fives times a number is nine - ANS-5x - 6 = 9
four more than a number, x, is less than 1/3 of another number, y. - ANS-x + 4 = 1/3y- 2
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? - ANS-3(27π)
seven more than a number is eighteen - ANS-7 + x = 18
five less than three times the sum of a number and four is twenty two - ANS-3(x+4) -5 =
22
seven more than the quotient of a number and 3 is - ANS-7 + x/3 = 10
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. - ANS-x *(20 - x)^2 = 50
a number increased by seven is less than or equal to twice that number decreased by
four. - ANS-x + 7 ≤ 2x -4
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. - ANS-12c + 2d = 60
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? - ANS-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
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? - ANS-75 beds are occupied today,
80 yesterday
therefore five more beds were occupied yesterday than today
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? - ANS-two
weeks ago 40 patients
last week 40 patients
the number of male patients was the same both weeks
percent problems
what is 30% of 120 - ANS-36
0.30 x 120
what is 14.5% of 96 - ANS-13.92
14.5/100 = 0.145
0.145 x 96 = 13.92
According to a hospital survey, 82% of nurses were highly satisfied at their job. of 145
nurses, how many were highly satisfied? - ANS-119
because 118.9 is not a whole person
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? - ANS-20% observing procedures
100% working in the oncology department
50% working on paperwork
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? - ANS-12.5%
a patient was given 100 mg of a certain medicine. the patients dosage was later
decreased to 88 mg. what was the percent decrease?... [Show Less]