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Exam (elaborations)

Math ATI TEAS 2023 UPDATE

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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 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 Continues...

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