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2023-2024 ATI TEAS TEST MATHEMATICS-with 100% verified solutions

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Download 2023-2024 ATI TEAS TEST MATHEMATICS-with 100% verified solutions and more Exams Nursing in PDF only on Docsity! about:bla nk 1/57 2023-2024 ATI TEAS TEST MATHEMATICS-with 100% verified solutions Which of the following is the percentage equivalent of 0.0016? A. 16 B. 160 C. 1.6 D. 0.16 - D. To derive a percentage from a decimal, multiply by 100: 0.0016(100) = 0.16 Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles? A. 42 miles B. 37 miles C. 28 miles D. 16 miles - C. one kilometer is about 0.62 miles, 45(0.62) = 27.9 approximately 28 miles On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm2. What is the actual area of the room? A. 30,000 cm2 B. 300 m2 C. 3,000 m2 D. 30 m2 - D. Since there are 100 cm in a meter, on a 1:100 scale drawing, each centimeter represents one meter. Therefore, an area of one square centimeter on the drawing represents one square meter tin actuality. Since the area of the room in the scale drawing is 30 cm2, the room's actual area is 30 m2. L/100 x W/100 = 30 cm2 lw/100 = 30 cm2 Area = 300,000 cm2 300,000 cm2 x. 1m/100 cm x 1m/100 cm = 30m2 Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost? A. $1.75 B. $2.00 C. $2.25 D. $2.50 - C. The situation may be modeled by the system: 4x + 3y = 9.55 2x + 2y = 5.90 Multiplying the bottom equation by - 2 gives: 4x + 3y = 9.55 about:bla nk 2/57 -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 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. about:bla nk 5/57 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: = (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 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.) about:bla nk 6/57 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 Approximately 123. This is Stella's weight in pounds. Which of the following is listed I order from least to greatest? A. -3/4, - 7 3/4, -8, 18 , 0.25, 2.5 B. - 8, - 7 4/5, - 3/4, 0.25, 2.5, 18 C. 18 , 0.25, - 3/4, 2.5, - 7 4/5, - 8 D. -8, - 7 4/5, - 3/4, 18 , 0.25, 2.5 - D. The smallest negative integers are those that have the largest absolute value. - The negative integers, writing in order from least to greatest, are - 8, - 7 4/5, - 3/4. - The percentage, 18 can be written as the decimal, 0.18; 0.18 is less than 0.25. - The decimal, 2.5, is the greatest rational number given. - The values, -8, -7 4/5, -3/4, 18 , 0.25, 2.5. Between the years 2000 and 2010, the number of births in the town of Daneville increased form 1432 and 2219. Which of the following is the approximate percent of increase int he number of births during those ten years? A. 55 B. 36 C. 64 D. 42 - A. - Begin by subtracting 1432 from, 2219. 2219-1432 = 787 - Then, divide 787 by 1432 to find the percent of increase: 0.549. 787/1432 = 0.549 Round up: approximately 55 increase in births between 2000 and 2010. Simplify the following expression: (1/4) x (3/5) / 1 (1/8) A. 8/15 B. 27/160 C. 2/15 D. 27/40 - C. Solve the equation in the order of operations: 1/4 x 3/5 = 3/20 Follow this up with division, which requires a reversal of the fraction: (3/20) / (9/8) (1 1/8 = 1*8 =8+1 = 9 = 9/8) 3/20 x 8/9 = 24/180 - The result simplifies to 2/15 While at the local ice skating rink, Cora went around the rink 27 times total. She slipped and fell 20 of the 27 times she skated around the rink. What approximate percentage of the times around the rink did Cora not slip and fall? A. 37 B. 74 C. 26 about:bla nk 7/57 D. 15 - C. Cora did not fall 7 out of 27 times. - To find the solution, simply divide 7 by 27 to arrive to arrive at 0.259, or 25.9 . 7/27 = 0.259 = 25.9 - Rounded up, this is approximately 26 A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can? 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 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. about:bla nk 10/5 100/15 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 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 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. about:bla nk 11/5 - 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 University Q has an extremely competitive nursing program. Historically 3/4 of the students in each incoming class major in nursing but only 1/5 of those who major in nursing actually complete the program. If this year's incoming class has 100 students, how many students will complete the nursing program? A. 75 B. 20 C. 15 D. 5 - C. If the incoming class has 100 students, then 3/4 of those students will major in nursing. (100)(3/4) = 75 - So 75 students will major in nursing but only 1/5 the 75 will complete the nursing program. (75)(1/5) = 15 - Therefore, 15 students will complete the program. 1. The next two questions are based on the following information: Four nurse midwives open a joint practice together. They use a portion of the income to pay for various expenses for the practices. Each nurse midwife contributes $2000 per month. The first midwife uses 2/5 of her monthly contribution to pay the rent and utilities for the office space. She saves half of the remainder for incidental expenditures, and uses the rest of the money to purchase medical supplies. How much money does she spend o medical supplies each month? A. $600 B. $800 C. $1000 D. $1200 - A. The first midwife contributes $2000 per month, and she uses 2/5 of that amount for rent and utilities. ($2000)(2/5) = $800 So the midwife pays $800 for rent and utilities, which leavers her with $2000-$800 = $1200 The midwife divides the remaining $1200 in half $1200/2 = $600 The midwife save $600 and buys medical supplies with the remaining $600. 2. The next two questions are based on the following information: Four nurse midwives open a joint practice together. They use a portion of the income to pay for various expenses for the practices. Each nurse midwife contributes $2000 per month. The second midwife allocates 1/2 of her funds to pay an office administrator, plus another 1/10 for office supplies. What is the total fraction of the second midwife's budget that is spend on the office-administrator and office supplies? A. 3/5 B. 2/12 C. 2/20 D. 1/20 - A. The second midwife allocates 1/2 of her funds for an office administrator plus another 1/10 for office supplies. So add 1/2 and 1/10 by first finding a common denominator. about:bla nk 12/5 1/2 = 5/10 5/10 + 1/10 = 6/10 Now simplify 6/10 by using the greatest common factor of 6 and 10, which is 2. 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 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 about:bla nk 15/5 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) 22.33 22.50 22.50 22.61 22.71 22.72 22.83 23.22 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: about:bla nk 16/5 Shifts for week 3 = (2)(5) + 4 Simplify the following expression: (3)(-4) + (3)(4) - 1 A. - 1 B. 1 C. 23 D. 24 - A. Use the order of operations to solve this problem: (3)(-4) + (3)(4) - 1 = - 12 + (3)(4) - 1 = - 12 + 12 - 1 = 0 - 1 = - 1 How many cubic inches of water could this aquarium hold if it were filled completely? A. 3600 cubic inches B. 52 cubic inches C. 312 cubic inches D. 1144 cubic inches - A. The volume formula for a rectangular solid is V = lwh Plugging in values then evaluating will yield the final answer. V = (30 in)(10 in)(12 in) V = 3600 cubic inches What statement best describes the rate of change? A. Every day, the snow melts 10 centimeters. B. Every day, the snow melts 5 centimeters. C. Every day, the snow increases by 10 centimeters. D. Every day, the snow increases by 5 centimeters. - B. If a line-of-fit is drawn though the points, the slope will be -1/5 so the snow melts 5 centimeters every day. What are the dependent and independent variables in the graph below? A. The dependent variable is Nurses. The independent variable is Physicians. B. The dependent variable is Physicians. The independent variable is Nurses. C. The dependent variable is Hospital Staff. The independent variable is Average hours worked per week. D. The dependent variable is Average hours worked per week. The independent variable is Hospital Staff. - D. The variables are the objects the graph measures. In this case, the graph measures the Hospital Staff and the Average hours worked per week. The dependent variable changes with the independent variable. Here, the average hours worked per week depends on the particular type of hospital staff. Therefore, the dependent variable is Average hours worked per week and the independent variable is Hospital Staff. How many milligrams are in 5 grams? A. 0.005 mg B. 50 mg C. 500 mg D. 5000 mg - D. The prefix, milli-, means 1000th. In this case, 1 g = 1000 mg Therefore, (5)(1 g) = (5)(1000 mg) about:bla nk 17/5 = 5 g = (5)(1000 mg) = 5 g = 5000 mg 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: 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. about:bla nk 20/5 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. 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 about:bla nk 21/5 Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he 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 form the first mark to the fourth mark? A. 3(27 )π B. 4 (27)π C. (27 ÷ 3)π D. (27 ÷ 4)π - A. The distance given from the top to the bottom of the tire through the center is the diameter. Finding the distance the bike traveled in one complete roll of the tire is the same as finding the circumference. Using the formula, C = d,π we multiply 27 by .π From the first mark to the fourth, the tire rolls three times. Then, you would multiply by 3, and the equation would be 3(27 ).π The table below shows the average amount of rainfall Houston receives during the summer and autumn months. Month Rainfall (inches) June 5.35 July 3.18 August 3.83 September 4.33 October 4.5 November 4.19 What percentage of rainfall received during this timeframe, is received during the month of October? A. 13.5 B. 15.1 C. 16.9 D. 17.7 - D. The total rainfall is 25.38 inches. Thus, the ratio 4.5 represents the percentage of rainfall during 25.38, October. 4.5 25.38 ≈ 0.177 or 17.7 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 umber of test questions. How many questions can Mathew answer incorrectly and still qualify for varsity sports? A. x > 32 B. x > 8 C. 0 ≤ x < 8 D. 0 ≤ x ≤ 8 - C. First solve fro the number of questions Matthew must answer correctly. To determine the number of correct answer Matthew needs, solve the following inequality: 3x > 96 = x > 96 3 = x > 32 Therefore, Mathew must correctly answer at more than 32 questions to qualify for varsity sports. Since the test has 40 questions, he must answer less than 8 questions incorrectly. Mathew could also answer 0 questions incorrectly. Hence, the best inequality to describe the number of questions Mathew can answer incorrectly is 0 ≤ x < 8. Which of the following best represents the surface area of the cylinder shows below? about:bla nk 22/5 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)2π + 2 (12)(8)π 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 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: about:bla nk 25/5 - 3 = 3x - 18 + 18 + 18 Add 18 to both sides 15 = 3x Divide both sides by 3 15 = 3x 3 3 x = 5 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 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 about:bla nk 26/5 9 4 A. 5/12 B. 8/13 C. 20/27 D. 47/36 - A. When multiplying fractions, multiply the terms straight across the fraction: 5 x 3 = 15 9 4 36 Then, simplify the fraction. Since 15 and 36 are both multiplies of 3, divide each term by 3 to reach the final result: 15 = 5 36 12 - In answer B, the fractions are added straight across without getting a common denominator. - In answer C, the fractions were cross multiplied. - In answer D, the fractions were added, instead of multiplied. What is the independent variable to the graph? A. Anesthesia B. Geriatrics C. Nrse specialities D. Number of nurses - C. The variables are the objects the graph measures. In this case, the graph measures the nurse specialties and the number of nurses for each speciality. The dependent variable changes with the independent variable. Here, the number of nurses depends on the particular nurse specialty. Therefore, the independent variable is nurse specialties. How many centimeters are in 7 meters? A. 7 m = 7 cm B. 7 m = 70 cm C. 7 m = 700 cm D. 7 m = 7000 cm - C. The prefix, centi-, means 100th. In this case, 1 m = 100 cm Therefore, (7)(1 m) = (7)(100 cm) 7 m = (7)(100 cm) 7 m = 700 cm About how long is the average human eyelash? A. 1 nanometer B. 1 centimeter C. 1 meter D. 1 kilometer - B. A human eyelash is about one centimeter long. - Nanometers are much too short to describe an eyelash. - Meters and kilometers are much too long. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $1.75 per foot, how much will the farmer need to spend on spending material to fence the perimeter of the field? A. $2,240 B. $2,800 C. $3,360 about:bla nk 27/5 D. $4,480 - C. A hexagonal field has 6 sides. Each side is 320 feet long, so multiply 360 by 6 to get the perimeter of the field: 360 x 6 = 1920 feet. At $1.75 per foot, the perimeter fence will cost $1920 x $1.75 = $3360 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 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.