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ATI TEAS TEST Mathematics-with 100% verified solutions-Latest Update 2024

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Download ATI TEAS TEST Mathematics-with 100% verified solutions-Latest Update 2024 and more Exams Mathematics in PDF only on Docsity! lOMoARcPSD|20622301 ATI TEAS TEST Mathematics- with 100% verified solutions- Latest Update 2024 lOMoARcPSD|20622301 -4x - 4y = -11.80 Addition of the two equations gives - y = -2.25 or y = 2.25. Thus, one box of crackers costs $2.25 9.55-11.80 = -2.25 -y = -2.25 -y/-1 = -2.25/-1 y = 2.25 1. THE NEXT TWO QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the approximate average of her scores? A. 81 B. 84 C. 89 D. 91 - C. To find the average of Pernell's scores, add them up and then divide by the number of scores (5 in this case). In other words, 81 + 92 + 87 + 89 + 94 = 443 443/5 = 89 lOMoARcPSD|20622301 2. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the medium of Pernell's scores? A. 87 B. 89 C. 92 D. 94 - B. To find the median, list the series of numbers form least to greatest. The middle number represents the median -- in this case 81, 87, 89, 92, 94. The number 89 is in the middle, so it is the median. Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid? A. $141.60 B. $225.70 C. $305.30 D. $330.40 - D. The television is 30% off its original price of $472. 30% of 472 is 141.60. (0.30)(472) = 141.60 472 - 141.60 = 330.40 Thus, Gordon paid $330.40 for the television. Simplify the following expression: (2/3) / (4/15) X (5/8) lOMoARcPSD|20622301 A. 1 9/16 B. 1 1/4 C. 2 1/8 D. 2 - A. To simplify, proceed it he order of the operations: (2/3) / (4/15) = (3/2) x (15/4) = 30/12 = 10/2 = 5/2 5/2* 5/8 = 25/16 = 1 9/16 Simplify following expression: 0.0178 X 2.401 A. 2.0358414 B. 0.0427378 C. 0.2341695 D. 0.3483240 - B. This is a simple matter of multiplication. The production is 0.00427378. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper cost $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase? A. 30c + 5p < 100 B. 30c + 5 p < 100 C. 30c + 5p > 100 D. 30c + 5p > 100 - A. The inequality will be less than or equal to, since he may spend $100 or less on his purchase. Solve for x: lOMoARcPSD|20622301 D. 42% - B. Adding up the number of church-goers in Ellsford resulting about 1450 residents who attend a church in the town each week. There are approximately 400 people in Ellsford who attend a Catholic Church each week. This number represents about 28% of the 1450 church-goers in the town. Jerry needs to load four pieces of equipment on to a factory elevator that has a weight limit of 800 pounds. Jerry weighs 200 pounds. What would the average weight of each item have to be so that the elevator's weight limit is not exceeded assuming Jerry accompanies the equipment? A. 128 pounds B. 150 pounds C. 175 pounds D. 180 pounds - B. To solve, first subtract Jerry's weight from the total permitted: 800-200 = 600 Divide 600 by 4 (the four pieces of equipment) to get 150, the average weight. 600/4 = 150 Simplify the following expression: 4 (2/3) / 1 (1/6) A. 2 B. 3 1/3 C. 4 D. 4 1/2 - C. Turn both expressions into fractions, and then multiply the first by the reverse of the second: lOMoARcPSD|20622301 = (14/3) / (7/6) = (14/3) X (6/7) = 14 x 6 = 84 = 3 x 7 = 21 84/21 = 4 Solve for x: 2x + 4 = x - 6 A. x = - 12 B. x = 10 C. x = - 16 D. x = - 10 - D. Begin by subtracting 4 from both sides, then subtract x form both sides: 2x + 4 = x - 6 -4 - 4 2x = x - 10 - x. - x x = - 10 Solve for x: 2x - 7 = 3 A. x = 4 B. x = 3 lOMoARcPSD|20622301 C. x = -2 D. x = 5 - D. To solve the equation for x, you can follow the steps below: 2x - 7 = 3 +7 +7 2x = 10 2x/2 = 10/2 x = 5 What kind of association does the scatter plot show? A. linear, positive B. linear, negative C. quadratic D. no association - D. The points do not show any trend line or trend curve at all. So, there is no association int he scatter plot. If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.) A. 123 pounds B. 110 pounds C. 156 pounds D. 137 pounds - A. To find the correct answer, simply multiply 56 by 2.2. 56 x 2.2 = 123.2 lOMoARcPSD|20622301 A. 17.2 in3 B. 19.4 in3 C. 21.2 in3 D. 23.4 in3 - C. The volume of a cylinder may be calculated using the formula V = ñr2h, where r represents the radius and h represents the height. Substituting 1.5 for r and 3 for h gives V = ñ(1/5)2(3), which simplifies to V = 21.2 - ñ represents pie - (1/5)2 represents 1/5 squared (2). Simplify the following expression: 3 (1/6) - 1 (5/6) A. 2 (1/3) B. 1 (1/3) C. 2 (1/9) D. 5/6 - B. Since the denominator is the same for both fractions, this is simple subtraction. Start by turning each expression into a fraction: 19/6 - 11/6. The results is 8/6 = 1 (2/6) = 1 (1/3) Four more than a number, x, is 2 less than 1/3 of another number, y. Which of the following algebraic equations correctly represents this sentence? A. x + 4 = 1/3y - 2 B. 4x = 2 - 1/3y C. 4 - x = 2 + 1/3y D. x + 4 = 2 - 1/3y - A. The expression "Four more than a number, x" can be interpreted as x+4. - This is equal to "2 less than 1/3 of another number, y," or 1/3y - 2. - Thus, the equation is x + 4 = 1/3y - 2 lOMoARcPSD|20622301 Margery is panning a vacation, and she has added up the cost. Her round-trip airfare will cost $572. Her hotel cost is $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing during her trip, and she expects to spend about $250 on meals. As she books the hotel, she is told that she will receive a discount of 10% per night off the price of $89 after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation? A. $1328.35 B. $1373.50 C. $1381.40 D. $1417.60 - C. Start by adding up the costs of the trip, excluding the hotel cost: $572 + $150 + $250 = $972. - Then, calculate what Margery will spend on the hotel. - the first of her five nights at the hotel will cost her $89. -For each of the other four nights, she will get a discount of 10% per night, or $8.90. - This discount of $8.90 multiplied by the four nights is $35.60. - The total she would have spent on the five nights without the discount is $445. - With the discount, the amount goes down to $409.40. - Add this amount to the $972 for a grand total of $1381.40. Given the double bar graph shown below which of the following statements is true? A. Group A is negatively skewed, while group B is approximately normal. B. Group A is positively skewed, while Group B is approximately normal. C. Group A is approximately normal, while Group B is negatively approximately skewed. D. Group A is approximately normal, while Group B is postively approximately skewed. - B. Data is said to be positively skewed when there are a higher number of lower values, indicating data that is skewed right. lOMoARcPSD|20622301 - An approximately normal distribution shows an increase in frequency, followed by a decrease in frequency, of approximately the same rate. A grift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. How many square inches of wrapping paper are needed to wrap the box? A. 56 B. 244 C. 488 D. 672 - C. The surface area of a rectangular prism may be calculated using the formula SA = 2lw + 2wh + 2hl Substituting the dimensions of 14 inches, 6 inches, and 8 inches gives: SA = 2(14)(6) + 2(6)(8) + 2(8)(14) Thus, the surface area is 488 square inches. After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided the opportunity for donors to specify where they wanted the money to be used, and the organization provided four options. When the organization tallied the funds received, they allotted each to the designated need. Reviewing the chart below, what percentage of the funds was donated to support construction costs? A 49% B. 23% C. 18% D. 10% - B. Start by locating the section of the pie chart that represents construction. - It looks close to a quarter of the pie chart, which means that it is probably 23%, but you can verify by adding up the numbers. - The total amount of all donations is about $1.3 million and the amount given for construction is $0.3 million 0.3/1.3 = 0.227 - 23% lOMoARcPSD|20622301 - The table shows that for each hour of rental, the cost increases by $3.60. - This matches with the slope of the equation. - Of course, if the bicycle is not rented at all (0 hours), there will be no charge ($0). - If plotted on the Cartesian plane, the line would have a y intercept of 0. - Choice A is the only one that follows these requirements. 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 form his bonus. What was the total amount of Chan's bonus? A. $3000 B. $3200 C. $3600 D. $4000 - D. The correct answer is $4000. - Chan has paid out a total of 30% + 30 + 25% = 85 of his bonus for the items in the question. - So the $600 is the remaining 15%. - To find out his total bonus, solve: 100/15 x 600 = $4000 Within a certain nursing program, 25% of the class wanted to work with infants, 60% of the class wanted to work with the elderly, 10% of the class wanted to assist general practitioners in private practices, and the rest were undecided. What fraction of the class wanted to work with the elderly? A. 1/4 B. 1/10 C. 3/5 lOMoARcPSD|20622301 D. 1/20 - C. According to the problem statement, 60% of the class wanted to work with the elderly. - Therefore, convert 60% to a fraction: : 60% = 60/100 - Now simplify the above fraction using a greatest common factor of 20. 60/100 60/20 = 3 100/20 = 5 = 3/5 Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of her 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 the neonatal unit. What percentage of the TOTAL staff is certified and available to work in the neon unit during the holiday? A. 7% B. 13% C. 65% D. 80% - B. Since 35% of the staff will take vacation days, only 100% - 35% = 65% of the staff is available to work. - Of the remaining 65%, only 20% are certified to work in the neonatal unit. - Therefore multiply 65% by 20% Convert 65% and 20% into decimals by dividing both numbers by 100. 65/100 = 0.65 20/100 = 0.20 Now multiply 0.65 by 0.20 to get (0.65)(0.20) = 0.13 lOMoARcPSD|20622301 Now convert 0.13 to a percentage by multiplying by 100 (0.13)(100) = 13% A patient requires a 30% decrease int he dosage of his medication. His current dosage in 340 mg. What will his dosage be after the decrease? A. 70 mg B. 238 mg C. 270 mg D. 340 mg - B. The patient's dosage just decrease by 30%. So calculate 30% of 340: (0.30)(34 mg) = 10.2 mg - Now subtract the 30% decrease from the original dosage. 340 mg - 102 mg = 238 mg A study about anorexia was conducted on 100 patients. Within that patient population 70% were women, and 10% of the men overweight as children. How many male patients in the study were NOT overweight as children? A. 3 B. 10 C. 27 D. 30 - C. Since 70% of the patients in the study were women, 30% of the patients were men. - Calculate the number of male patients by multiplying 100 by 0.30. (100)(0.30) = 30 - Of the 30 male patients in the study, 10% were overweight as children. So 90% were not overweight. - Multiply 30 by 0.90 to et the final answer. (0.30)(0.90) = 27 lOMoARcPSD|20622301 6 ÷ 2 = 3 and 10 ÷ 2 = 5 Therefore, 6/10 = 3/5 A mathematics test has a 4:2 ratio of data anaylsis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test? A. 24 B. 28 C. 36 D. 38 - C. The following proportion can be written 4/2 = x/18. Solving for x gives x = 36. - Thus, there are 36 data analysis problems on the test. 4 = x 2 18 (4)(18) = 2x 72 = 2x 72/2 = 2x/2 x = 36 Jonathan pays a $65 monthly flat rate for his cell phone. He is charged $0.12 per minute for each minute used, in a roaming area. Which of the following expressions represents his monthly cell phone bill for x roaming minutes? A. 65 + 0.12x B. 65x + 0.12 C. 65.12x lOMoARcPSD|20622301 D. 65.12 + 0.12x - A. the flat rate of $65 represents the y-intercept, and the charge of $0.12 per roaming minute used represents the slope. - Therefore, the expression representing his monthly phone bill is: 65 + 0.12x Robert is planing 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 be need to complete the trip? A. 3 tanks of gas B. 5 tanks of gas C. 30 tanks of gas D. 60 tanks of gas - B. First, determine how many miles can be driven on one tank of gas by multiplying the numbers of gallons in a tank by the miles per gallon: 12 gallons/tank x 30 miles/gallon = 360 miles - Next, divide the total miles for the trip by the number of miles driven per tank of gas to determine how many total tanks of gas Robert will need: 1,800 miles ÷ 360 miles/tank = 5 tanks A patient was taking 310 mg of antidepressant each day. However, the doctor determined that his dosage was too high and reduced the dosage by a fifth. Further observation revealed the dose was still too high, so he reduced it again by 20 mg. What is the final dosage of the patient's antidepressant? A. 20 mg B. 42 mg C. 228 mg D. 248 mg - C. To obtain the new dosage, subtract 1/5th of 310 mg from the original dosage of 310 mg, then subtract 20 mg. lOMoARcPSD|20622301 310 mg - (310 x 1/5 mg) - 20 mg 310 mg - (62 mg) - 20 mg = 228 mg A lab technician took 100 hairs from a patient to conduct several tests. The technician used 1/7 of the hairs for a drug test. How many hairs were used for the drug test? Round your answer to the nearest hundredth. A. 14.00 B. 14.20 C. 14.29 D. 14.30 - C. Find 1/7 of 100 by multiplying: (100)(1/7) = 100/7 = 14.2857 = 14.29 100/7 is an improper fraction. Convert the fraction to a decimal and round to the nearest hundredth to get 14.29. What kind of association does the scatter plot show? A. positive, linear association B. Negative, linear association C. non-linear association D. no association can be determined - B. A single straight one can be drawn that is close to many of the points. The slope of that line would be negative, so the points have a negative, linear association. lOMoARcPSD|20622301 D. -2, -3/4, -0.45, 0.36, 3% - A. The numbers listed for Choice A can all be converted decimal form for comparison. The given sequence can be written as -2, -0.75, -0.45, 0.03, 0.36. The negative integers are the least values, with the negative integer with the greatest absolute value, serving as the least integer. The percentage, 3%, is written as 0.03, and is less than 0.36. As part of a study, a set of patients will be divided into three groups 4/15 of the patients will be in Group Alpha 2/5 of the patients will be in Group Beta, and 1/3 of the patients will be in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group. A. Group Alpha, Group Beta, and Group Gamma B. Group Alpha, Group Gamma, Group Beta C. Group Gamma, Group Alpha, Group Beta D. Group Gamma, Group Beta, Group Alpha - B. Compare and order the rational numbers by finding a common denominator for all three fractions. The least common denominator for 3, 5, and 15 is 15. Now convert the fractions with different denominators into fractions with a common denominator. 4/15 = 4/15 2/5 = 6/15 1/3 = 5/15 Now that all three fractions have the same denominator, order them from smallest to largest by comparing the numerators. 4/15 < 5/15 < 6/15 Since 5/15 of the patients are in Group Alpha, this group has the smallest number of patients. The next largest group has 5/15 of her patients, which is Group Gamma. The largest group has 6/15 of the patients, which is Group Beta. Solve for x: 22.33 22.50 22.50 22.61 22.71 22.72 22.83 23.22 lOMoARcPSD|20622301 2x + 6 = 14 A. x = 4 B. x = 8 C. x = 10 D. x = 13 - A. Solve the equation for x; 2x + 6 = 14 - 6 = - 6 2x = 8 2x/2 = 8/2 x = 4 In the 2008 Olympic Games, the semifinal beat for the Women's 200m event had the following result: Time (in seconds) lOMoARcPSD|20622301 What was the mean time for the women who ran this 200m event? A. 22.50 sec B. 22.66 sec C. 22.68 Sec D. 22.77 sec - C. To determine the mean time for this event, add up al 8 event times (22.33 + 22.50 + 22.50 + 22.61 + 22.71 + 22.72 + 22.83 + 23.22 = 181.42) and then divide that value by 8: 181.42/8 = 22.68 sec. - Answer A is the mode value of the event times. - Answer B is the median value of the event times. - In Answer D, the mean was incorrectly calculated by only adding the first and last times (22.33 + 23.22) and then dividing that value by 2. During week 1, Nurse Cameron works 5 shifts. During week 2, she worked twice as many shifts as she did during week 1. During week 3, she added 4 shifts to the number of shifts she worked during week 2. Which equation below describes the number of shifts Nurse Cameron worked during week 3? A. Shifts = (2)(5) + 4 B. Shifts = (4)(5) + 2 C. Shifts = 5 + 2 + 4 D. Shifts = (5)(2)(4) - A. - During week 1, Nurse Cameron worked 5 shifts: Shifts for week 1 = 5 - During week 2, she worked twice as many shifts as she did during week 1: Shifts for week 2 = (2)(5) - During week 3, she added 4 shifts to the number of shifts she worked during week 2: Shifts for week 3 = (2)(5) + 4 lOMoARcPSD|20622301 9.5% of the people in a town voted for a certain proposition in a municipal election. If the town's population is 51,623, about how many people in the town voted for the proposition? A. 3,000 B. 5,000 C. 7,000 D. 10,000 - B. The number of people who voted for the proposition s 9.5% of 51,623. If we only require an approximation, we can round 9.5% to 10% and 51,623 to 50,000. Then 9.5% of 51,623 is about 10% of 50,000, or (0.1)(50,000) = 5000. A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at an average speed of 80 mph, how long, will it have been since he began the trip? A. 0.96 hours B. 6.44 hours C. 6.69 hours D. 6.97 hours - D. To calculate the total time taken, divide the distance driven by the speed it was driven at : 305 mi ÷ 65 mph = 305 miles x 1 hour/65 miles = 4.69 hours 162 mi ÷ 80 mph = 162 miles x 1 hour/80 miles = 2.03 hours Convert the minutes spend at the gas station to hours: 15 min x 1 hour/60 minutes = 0.25 hours Find the total time taken on the trip by summing all the times: lOMoARcPSD|20622301 4.69 + 2.03 + 0.25 = 6.97 hours 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? A. 5h = 200 B. 5h2 = 200 C. 25h = 200 D. h = 200 ÷ 5 - C. Use the formula Volume = length x width x height: 200 = 5 x 5 x h 25h = 200 Two even integers and one odd integer are multiplied together. Which of the following could be their product? A. 3.75 B. 9 C. 16.2 D. 24 - D. Integers include all positive and negative whole numbers and the number zero. The produce of three integers must e an integer, so you can eliminate ay answer choice that is not a whole number: choices (A) and (C). The product of two even integers is even. The product of even and odd integers is even. The only even choice is 24. There are 80 mg/0.8 mL in Acetaminophen Concentrated Infant Drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive? A. 0.8 mL B. 1.6 mL lOMoARcPSD|20622301 C. 2.4 mL D. 3.2 mL - C. Divide the mg the child should receive by the number of mg in 0.8 mL to determine how many 0.8 mL doses the child should receive: 240/80 = 3. Multiply the number of doses by 0.8 to determine hw many mL the child should receive: 3 x 0.8 = 2.4 mL Using the chart below, which equation describes the relationship between x and y? x y 2 6 3 9 4 12 5 15 A. x = 3y B. y = 3x C. y = 1/3x D. x/y = 3 - B. The chart indicates that each x value must be tripled to equal the corresponding y value, so y = 3x. One way you can determine this is by plugging corresponding pair of x and y into the answer choices. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance? A. 45 miles B. 54 miles lOMoARcPSD|20622301 Dr. lee saw that 30% of all his patients developed an infection after taking a certain antibiotic. He further noticed that 5% of that 30% required hospitalization to recover from the infection. What percentage of Dr. Lee's patients were hospitalized after taking he antibiotic? A. 1.5% B. 5% C. 15% D. 30% - A. Dr. Lee noticed that 5% of 30% f his patients were hospitalized. So multiply 30% by 5% using these steps: Convert 30% and 5% into decimals by dividing both numbers by 100. 30/100 = 0.30 5/100 = 0.05 Now multiply 0.30 by 0.05 to get (0.30)(0.05) = 0.015 Now convert 0.015 to a percentage by multiplying by 100. (0.015)(100) = 1.5% A patient requires a 30% increase in the dosage of her medication. Her current dosage is 270 mg. What wilder dosage be after the increase? A. 81 mg B. 270 mg C. 300 mg D. 351 mg - D. The patient's dosage must increase by 30%. So calculate 30% of 270: (0.30)(270 mg) = 81 mg Now add the 30% increase to the original dosage. 270 mg + 81 mg = 351 mg lOMoARcPSD|20622301 Which of the following describes a graph that represents a proportional relationship? A. The graph has a slope of 2,500 and a y-intercept of 250 B. The graph has a slope of 1,500 and a y-intercept of - 150 C. The graph has a slope of 2,000 and a y-intercept of 0 D. The graph has a slope of - 1,800 and a y-intercept of - 100 - C. A graph that has a y- intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to, or subtracted from, the term, containing the slope. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class 1/2 the nursing students were required to take the exam and 3/5 of those who took the exam passed the exam. If this year's class has 200 students, how any students passed the exam? A. 120 B. 100 C. 60 D. 50 - C. If the incoming class has 200 students, then 1/2 of those students were required to take the exam. (200)(1/2) = 100 So 100 students took the exam but only 3/5 of that 100 passed the exam. (100)(3/5) = 60 Therefore 60 students passed the exam. 1. The next two questions are based on the following information: Four roommates must use their financial aid checks to pay their living expenses. Each student receives $1000 per month. lOMoARcPSD|20622301 One roommate is saving to buy a house, so each month he puts money aside in a special house savings account. The ratio of his monthly house savings to his rent is 1:3. If he pays $270 per month in rent, how many money does he put into his house savings account each month? A. $90 B. $270 C. $730 D. $810 - A. The ratio of his savings to his rent is 1:3, which means that for every $3 he pays in rent, he saves $1 for the purchase of a house. So to calculate the amount the fourth roommate saves for the purchase of a house, divide $270 by 3. $270 = $90 3 2. The next two questions are based on the following information: Four roommates must use their financial aid checks to pay their living expenses. Each student receives $1000 per month. Three of the roommates decided to combine their money to purchase a single birthday gift for the fourth roommate. The first roommate donated $12.03. The second roommate contributed $11.96, and the third roommate gave $12.06. Estimate the total amount of money the roommates used to purchase the gift. A. $34 B. $35 C. $36 D. $37 - C. Each roommate donated about $12 towards the gift purchase. $12 + $12 + $12 = $36 lOMoARcPSD|20622301 A. 602.9 cm2 B. 904.3cm2 C. 1,408.7 cm2 D. 1,507.2 cm2 - D. The surface area of a cylinder can be determined by using the formula, S = 2 r2π + 2 rh,π where r represents the radius and h represents the height. Substituting the given values for the radius and heigh gives: S = 2 (12)2 + 2 (12)π π (8) S = 904.778 + 603.185 S = 1,507.964 S = 1,507.2 Therefore, the surface area of the cylinder is approximately 1,507.2 square centimeters. A lab technician took 500 milliliters of blood from a patient. The technician used 1/6 of the blood for further tests. How many milliliters of blood were used for further tests? Round your answer to the nearest hundredth. A. 83.00 B. 83.30 C. 83.33 D. 83.34 - C. Find 1/6 of 500 by multiplying (500)(1/6) = 500/6 = 83.33 The result is an improper fraction. Convert the fraction to a decimal and round to the nearest hundredth to get 83.33 Hannah spends at least $16 on 4 packages of coffee. Which of the following inequalities represents the possible costs? A. 16 ≥ 4p lOMoARcPSD|20622301 B. 16 < 4p C. 16 > 4p D. 16 ≤ 4p - D. Since she spends at least $16, the relation of the number of packages of coffee to the minimum coast may be written as 4p ≥ 16. Alternatively, the inequality may be written as 16 ≤ 4p. Which of the following describes a proportional relationship? A.Johnathan opens a savings account, with an initial deposit of $150, and deposits $125 per month B. Bruce pays his employees $12 per hour worked, during the month of December, as well as a $250 bonus C. Alvin pays $28 per month for his phone service, plus $0.07 for each long-distance minute used D. Kevin drives 65 miles per hour - D. The number of miles Kevin drives per hour an be written as y = 65x, where x represents the number of hours and y represents the total number of miles driven. the y-intercept is 0, since there is not an amount added to, or subtracted from, this term. The graph of the line passes through the origin, or the point, (0,0). Veronica decided to celebrate her probation by purchasing a new car. The base price for the car was $40.210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica's new car? A. $50,210 B. $48,443 C. $43,225 D. $40,210 - B. To determine the total cost of Veronica's new car, add all her expenditures. $40,210 + $3,015 + $5,218 = $48,443 Simplify the following expression: lOMoARcPSD|20622301 13 - 3 22 11 A. 19/22 B. 7/22 C. 10/11 D. 5/11 - B. In order to subtract the terms, the fractions need to have a common denominator: 13 - 3 22 11 = 13 - 3 x 2 22 11 2 = 13 - 6 22 22 = 7 22 The number of vacuum cleaners sold by a company per month during Year 1 is listed below: 18, 42, 29, 40, 24, 17, 29, 44, 19, 33, 46, 39 Which of the following is true? A. the mean is less than the median B. the mode is greater than the median lOMoARcPSD|20622301 10 2y = (20)(10) 2y = 200 2y = 200 2 2 y = 100 Solve for x: 3(x - 1) = 2(3x - 9) A. x = 2 B x = 8/3 C. x = - 5 D. x = 5 - D. 3(x - 1) = 2(3x - 9) 3x - 3 = 6x - 18 Distribute - 3x - 3x Subtract 3x from both sides - 3 = 3x - 18 + 18 + 18 Add 18 to both sides 15 = 3x Divide both sides by 3 15 = 3x 3 3 x = 5 lOMoARcPSD|20622301 During January, Dr. Lewis worked 20 shifts. During February, she worked three times as many shifts as she did during January. During March, she worked half the number of shifts she worked during February. Which equation below describes the number of shifts Dr. Lewis worked in March? A. shifts = 20 + 3 + 1/2 B. shifts = (20)93)(1/2) C. shifts = (20)(3) + 1/2 D. shifts = 20 + (3)(1/2) - B. During January, Dr Lewis worked 20 shifts. Shifts for January = 20 During February, she worked three times as many shifts as she did during January. shifts for February = (20)(3) During March, she worked half the number of shifts she worked in February. shifts for March = (20)(3)(1/2) A book has width of 2.5 decimeters. What is the width of the book in centimeters? A. 0.25 centimeters B. 25 centimeters C. 250 centimeters D. 0.025 centimeters - B. One decimeter equals 10 centimeters, so the following proportion can be written: 1 = x 0.1 2.5 (1)(2.5) = 0.1x 2.5 = 0.1x 2.5 = 0.1x 0.1 0.1 lOMoARcPSD|20622301 x = 25 Thus, 2.5 decimeter is equal to 25 centimeters. Robert scores three new clients every eight months. After how many months has he secured 24 new clients? A. 64 B. 58 C. 52 D. 66 - A. The following proportion can be used to solve the problem: 3 = 24 8 x Solving x gives: 3x = (24)(8) 3x = 192 3x = 192 3 3 x = 64 Simplify the following expression: 5 x 3 9 4 A. 5/12 B. 8/13 C. 20/27 lOMoARcPSD|20622301 Which of the following is listed in order from least to greatest? A. - 2 3/4, - 2 7/8, - 1/5, 2/5, 1/8 B. - 1/5, 1/8, 2/5, - 2 3/4, - 2 7/8 C. - 2 7/8, - 2 3/4, - 1/5, 1/8, 2/5 D. 1/8, 2/5, - 1/5, - 2 7/8, - 2 3/4 - C. The fractions for Choice C can be compared by either converting all fractions and mixed numbers to decimals or by using a least common denominator. In performing the first suggestion, the fractions as they appear from left to right can be written as - 2.875, - 2.75, - 0.2, 0.125, and 0.4. Negative integers with larger absolute values are less than negative integers with smaller absolute values. The tenth place can be used to compare each of the decimals. 1. The next three questions are based not he following information. Which percentage is greatest? A. The percentage of Asian Americans to staff as a whole at Hospital X? B. The percentage of staff members who have been on staff 10-15 years to staff as a whole at Hospital X? C. The percentage of Doctors to staff as a whole at Hospital X and Hospital Y? D. The percentage of staff with 1-4 complaints to staff as a whole at Hospital Y? - C. To find the percentage, divide the first number by the second number, then multiply by 100. So the percentage in answer A is: 50 x 100 = 20 250 The percentage in answer B is: 57 x 100 = 22.8 100 lOMoARcPSD|20622301 The percentage in answer C is: 74 + 55 x 100 433 = 129 x 100 = 29.8 433 The percentage in answer D is: 21 x 100 = 11.5 183 2. The next three questions are based not he following information. Approximately what percentage more staff members at Hospital Y are female than at Hospital X? A. 5 B. 10 C. 15 D. 20 - B. The percentage of female staff members at Hospital Y is: 90 x 100 = 49.2 183 At hospital X, it is: 97 x 100 = 38.8 250 Subtracting, we see that the difference between these percentages is approximately 10. 3. The next three questions are based not he following information. According to the chart, the percentage of staff who have received zero complaints is lOMoARcPSD|20622301 A. greater at Hospital X than at Hospital Y B. greater at Hospital Y than at Hospital X C. the same at Hospital X and at Hospital Y D. increasing at both hospitals - B. the percentage of staff members with zero complaints at Hospital X is: 202 x 100 = 80.8 250 At Hospital Y, the percentage is: 161 x 100 = 88.0 183 The number of flights a flight attendant made per month is represented by the line graph: What is the range in the number of flights the flight attendant made? A. 20 B. 25 C. 29 D. 32 - B. The line graph shows the largest number of flights made during a month as 79 with the smallest number of flights made during a month as 54. - The range is equal to the difference between the largest number of flights and smallest number of flights, i.e., 79 - 54 = 25 Therefore, the range is equal to 25. The number of houses Amelia has sold per year over the past ten years is listed below: 42, 36, 39, 45, 11, 47, 38, 41, 44, 34