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

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Download ATI TEAS TEST MATHEMATICS-with 100% verified solutions-2023-2024 and more Exams Mathematics in PDF only on Docsity! ATI TEAS TEST MATHEMATICS-with 100% verified solutions-2023-2024 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 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: 4(2x-6) = 10x-6 A. x= 5 B. x= - 7 C. x= - 9 D. x= 10 - C. Multiplying the equation results in the following: 8x - 24 = 10x - 6 +6 +6 8x - 18 = 10x -8x -8x -18 = 2x -18/2 = 2x/2 -9 = x x = -9 Erma has her eye on two sweaters at her favorite clothing store, but she has been waiting for the store to offer a sale. This week, the store advertises that all clothing purchases, including sweaters, come with an incentive: 25% off a second item of equal or lesser value. One sweater is $50 and the other is $44. If Erma purchases the sweaters during the sale, what will she spend? A. $79 B. $81 C. $83 D. $85 - C. Erma's sale discount will be applied to the less expensive sweater, so she will receive the $44 sweater for 25% off. This amount to a discount of $11, so the cost of the sweater will be $33. 44 x .25 = 11 44-11 = $33 Added to the cost of the $50 sweater, which is not discounted, Erma's total is $83. $33 + $55 = $83. Simplify the following expression: 1.034 + 0.275 - 1.294 A. 0.015 B. 0.15 C. 1.5 D. -0.15 - A. Start by adding the first two expressions, and then subtract 1.294 from the sum: 1.034 + 0.275 - 1.294 1.034 + 0.275 = 1.309 1.309 - 1.294 = 0.015 The graph below shows the weekly church attendance among residents in the town of Ellsford, with the town having five different denominations: Episcopal, Methodist, baptist, Catholic, and Orthodox. Approximately what percentage of church-goers in Ellsford attends Catholic Churches? A. 23% B. 28% C. 36% 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 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% 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? - 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% Arrange the following numbers above form least to greatest: 7/3, 9/2, 10/9, 7/8 A. 10/9, 7/3, 9/2, 7/8 B. 9/2, 7/3, 10/9, 7/8 C. 7/3, 9/2, 10/9, 7/8 D. 7/8, 10/9, 7/3, 9/2 - D. Turn the fractions into mixed numbers to see the amounts more clearly. - The result is that 7/8 is smaller than 10/9, or 1 (1/9), which is smaller than 7/3, or 2 (1/3), which is smaller than 9/2, or 4 (1/2). Simplify the following expression: (2/7) / (5/6) A. 2/5 B. 35/15 C. 5/21 D. 12/35 - D. In order to divide the terms, they must first be arranged as a multiplication by keeping the first fraction as is, changing the division sign to multiplication, and taking the reciprocal of the send fraction: 2/7 x 6/5 - Then, multiply the new terms: 2/7 x 6/5 = 12/35 Simplify the following expression: 7 + 16 - (5 + 6 x 3) - 10 x 2 A. - 42 B. - 20 C. 23 D. 20 - B. Start by calculating the amount is parentheses, completing the multiplication first: 5 + 6 x 3 which is 5 + 18 = 23. - Then calculate the product at the end: 10 x 2 = 20 and complete the equation: 7 + 16 - (5 + 6 x 3) - 10 x 2 7 + 16 - (5 + 18) - 10 x 2 7 + 16 - (23) - 10 x 2 23 - 23 - 20 0 - 20 = - 20 The table below shows the cost of renting a bicycle for 1, 2, or 3 hours. Which answer choice shows the equation that best represents the data? Let C represent the cost of the rental and h stand for the number of hours of rental time. A. C = 3.60h B. C = h + 3.60 C. C = 3.60h + 10.80 D. C = 10.80 h - A. This equation is a linear relationship that has a slope of 3.60 and passes through the origin. 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 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. 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. 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. Joshua has to earn more than 92 points on the state test n order to qualify for an academic scholarship. Each question is worth 4 points, and the test has a total of 30 questions. Let x represent the number of test questions. Which of the following inequalities can be solved to determine the number of questions Joshua must answer correctly? A. 4x < 30 B. 4x < 92 C. 4x > 30 D. 4x > 92 - D. In order to determine the number f questions Joshua must answer correctly, consider the number of points he must earn. Joshua will receive 4 points for each question he answers correctly, and x represents the number of questions. Therefore, Joshua will receive a total of 4x points for all the questions he answers correctly. Joshua must earn more than 92 points. Therefore, to determine the number of questions he must answer correctly, solve the inequality 4x > 92. Susan decided to celebrate getting her first nursing job by purchasing a new outfit. She bought a dress for $69.99 and a pair of shoes for $39.99. She also bought accessories for $34.67. What was the total cost of Susan's outfit, including accessories? A. $69.99 B. $75.31 C. $ 109.98 D. $144.65 - D. To determine the total coast of Susan's outfit add all her purchases: $69.99 + $39.99 + $34.76 = $144.65 Given the histograms shown below, which of the following statements is true? A. Group A is negatively skewed and has a mean that is less than the mean of Group B. B. Group A is positively skewed and has a mean that is more than the mean of Group B. C. Group B is negatively skewed and has a mean that is more than the mean of Group A. D. Group B is positively skewed and has a mean that is less than the mean of Group A. - C. Group B is negatively skewed since there are more high scores. With more high scores, the mean for Group B will be higher. Complete the following equation: 2 + (2)(2) - 2 ÷ 2 = ? A. 5 B. 3 C. 2 D. 1 - A. Apply the order of operations to solve this problem. Multiplication and division are computed first from left to right. Then addition and subtraction are computed next from left to right. 2 + (2)(2) - 2 ÷ 2 = 2 + 4 - 2 ÷ 2 = 2 + 4 - 1 = 6 - 1 = 5 Which of the following is listed in order from least to greatest? A. -2, -3/4, -0.45, 3%, 0.36 B. -3/4, -0.45, -2, 0.36, 3% C. -0.45, -2, -3/4, 3%, 0.36 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 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) = 5 g = (5)(1000 mg) = 5 g = 5000 mg 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 C. 112 miles D. 144 miles - D. Use the following proportion: 1 in = 3.2 in 45 miles x miles Cross multiply: x = (45)(3.2) = 144 miles Andy has already saved $15. He plans to save $28 per month. Which of the following equations represents the amount of money he will have saved? A. y = 15 + 28x B. y = 43x + 15 C. y = 43x D. y = 28 + 15x - A. The amount of money he has already saved represents the y-intercept. The amount of money he intends to save per month represents the slope. Thus, his savings can be represented by the equation, y = 28x + 15 or y = 15 + 28x Given the double bar graph shown below, which of the following statements is true? A. The number of trees planted by the Juniors is positively skewed, while the number of trees planted by the Senior is approximately normal. B. The number of trees planted by the Junior is negatively skewed, while the number of trees planted by the Seniors is positively skewed. C. The number of trees planted by the Juniors is positively skewed, while the number of trees planted by the Seniors is negatively skewed. D. The number of trees planted by the Juniors is approximately normal, while the number of trees planted by the union is positively skewed. - B. The number of trees planted by the Juniors is skewed left, with more higher numbers of trees planted. The number of trees planted by the Seniors is skewed right, with more lower numbers of trees planted. Solve for x: 4 = 2 x + 6 A. x = 8 B. x = - 4 C. x = - 8 D. x = 4 - B. in order to solve for x, each side of the equation may be multiplied by the expression, (x + 6). Doing so gives: (x + 6) x 4 = 2(x + 6) x + 6 4 = 2(x + 6) = 4 = 2x + 12 = - 12 - 12 = - 8 = 2x = - 8 = 2x 2 2 = x = - 4 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 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(27π) B. 4π(27) 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 = πd, 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(27π). 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? 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 C. the mode is less than the mean, median, and range D. the mode is equal to the range - D. The number of vacuum cleaners sold per month has a mean of 31.7, a mode of 29, a median of 31, and a range of 29. Therefore, a true deduction states that the mode is equal to the range. 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 umber of miles she will drive per day? A. 240 miles B. 260 miles C. 300 miles D. 340 miles - C. The number of miles Lauren must drive can be rounded to 1,500; 1,500 miles divided by 5 days equals 300 miles per day. Thus, a reasonable estimate for the number of miles driven per day is 300. Based on their prescribing habits, a set of doctors was divided into three groups: 1/3 of the doctors were placed in Group X because they always prescribed medication. 5/12 of the doctors were placed in Group Y because they never prescribed medication. 1/4 of the doctors were placed in Group Z because they sometimes prescribed medication. Order the groups from largest to smallest, according to the umber of doctor in each group. A. Group X, Group Y, Group Z B. Group Z, Group Y, Group X C. Group Z, Group X, Group Y D. Group Y, Group X, Group Z - D. Compare and order the rational numbers by finding a common denominator for all three fractions. The least common denominator for 3, 12, and 4 is 12. Now convert the fractions with different denominators into fractions with the same denominator. 1 = 4 3 12 5 = 5 12 12 1 = 3 4 12 Now that all three fractions have the same denominator, order them from largest to smallest by comparing the numerators 5 > 4 > 3 3 12 12 Since 5/12 of the doctors are in Group Y, this group has the largest number of doctors. The next largest group has 4/12 of the doctors, which is Group X. The smallest group has 3/12 of the doctors, which is Group Z. Solve for y: 2y + 5 = 25 10 A. y = 25 B. y = 100 C. y = 150 D. y = 200 - B. Solve the equation for y: 2y + 5 = 25 10 2y + 5 = 25 10 - 5 = - 5 2y = 20 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 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 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 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 Which of the following measures will most accurately reflect the number of houses she sold per year? A. mean B. median C. mode D. range - B. The outlier of 11 would skew the data if the mean or range were used. Therefore, the median is the most appropriate measure for reflecting the number of houses she sold per year. This data set does not have a mode, so mode is not the most appropriate The histogram represents the overall GRE scores for a sample of college students. Which of the following is a true statement? A. the range of GRE scores is approximately 600 B. the range of GRE score is 750 C. the range of GRE score is approximately 500 D. the fewest number of college students had an approximate score of 800 - C. The score that has approximately 50% abound 50% below is approximately 500 (517 to be exact). The scores can be manually written by choosing either the lower or upper end of each interval and using the frequency to determine the number of times to record each score, i.e., using the lower end of each interval shows an approximate value of 465 for the median; using the upper end of each interval shows an approximate value of 530 for the median. A score of 500 (and the exact median of 517) is found between 465 and 530).