Solving Mathematical Problems, Exams of Mathematics

A variety of mathematical problems and their solutions, including questions on percentages, distances, inequalities, equations, and more. The problems range in difficulty from basic arithmetic to more advanced algebra and geometry concepts. Step-by-step explanations and verifies the correct answers, making it a valuable resource for students looking to improve their mathematical problem-solving skills. The topics covered are relevant to a wide range of academic subjects, from high school math courses to university-level classes in fields like engineering, economics, and statistics. By studying this document, students can develop a deeper understanding of mathematical principles, enhance their analytical abilities, and prepare for exams and assignments that require strong quantitative reasoning.

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ATI TEAS TEST PRACTICE
Mathematics questions
Which of the following is the percentage equivalent of 0.0016?
A. 16%
B. 160%
C. 1.6%
D. 0.16% - verified answer D. 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 - verified answer C. 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 - verified answer D. 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 - verified answer C. 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.
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ATI TEAS TEST PRACTICE

Mathematics questions

Which of the following is the percentage equivalent of 0.0016? A. 16% B. 160% C. 1.6% D. 0.16% - verified answer D. 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 - verified answer C. 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 cm B. 300 m C. 3,000 m D. 30 m2 - verified answer D. 30m 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. B. $2. C. $2. D. $2.50 - verified answer C. 2.

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 - verified answer C. 89

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 - verified answer B. 89 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. B. $225. C. $305. D. $330.40 - verified answer D. $330. Simplify the following expression: (2/3) / (4/15) X (5/8) A. 1 9/ B. 1 1/ C. 2 1/ D. 2 - verified answer A. 1 9/

Simplify the following expression: 1.034 + 0.275 - 1. A. 0. B. 0. C. 1. D. -0.15 - verified answer A. 0. 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% D. 42% - verified answer B. 28% 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 - verified answer B. 150 Simplify the following expression: 4 (2/3) / 1 (1/6) A. 2 B. 3 1/ C. 4 D. 4 1/2 - verified answer C. 4 Solve for x:

2x + 4 = x - 6 A. x = - 12 B. x = 10 C. x = - 16 D. x = - 10 - verified answer D. x = - 10 Solve for x: 2x - 7 = 3 A. x = 4 B. x = 3 C. x = - D. x = 5 - verified answer D. x = 5 What kind of association does the scatter plot show? A. linear, positive B. linear, negative C. quadratic D. no association - verified answer D. The points do not show any trend line or trend curve at all. So, there is no association in the 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 - verified answer A. 123 pounds. Which of the following is listed In order from least to greatest? A. -3/4, - 7 3/4, -8, 18%, 0.25, 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 - verified answer B. 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 - verified answer A. 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. B. $1373. C. $1381. D. $1417.60 - verified answer C. $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 positively approximately skewed. - verified answer B. Group A is positively skewed, while Group B is approximately normal. 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 - verified answer C. 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% - verified answer B. 23% Arrange the following numbers above form least to greatest: 7/3, 9/2, 10/9, 7/ A. 10/9, 7/3, 9/2, 7/ B. 9/2, 7/3, 10/9, 7/ C. 7/3, 9/2, 10/9, 7/ D. 7/8, 10/9, 7/3, 9/2 - verified answer D. 7/8, 10/9, 7/3, 9/ Simplify the following expression: (2/7) / (5/6) A. 2/ B. 35/ C. 5/ D. 12/35 - verified answer D. 12/ Simplify the following expression: 7 + 16 - (5 + 6 x 3) - 10 x 2

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% - verified answer B. 13% A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after the decrease? A. 70 mg B. 238 mg C. 270 mg D. 340 mg - verified answer B. 238 mg A study about anorexia was conducted on 100 patients. Within that patient population 70% were women, and 10% of the men were overweight as children. How many male patients in the study were NOT overweight as children? A. 3 B. 10 C. 27 D. 30 - verified answer C. 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 - verified answer C. 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. $ B. $ C. $ D. $1200 - verified answer A. $600.

  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 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/ B. 2/ C. 2/ D. 1/20 - verified answer A. 3/ 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 - verified answer C. 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?

D. no association can be determined - verified answer B. 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 - verified answer D. 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. B. $75. C. $ 109. D. $144.65 - verified answer D. $144. 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. - verified answer C. Group B is negatively skewed and has a mean that is more than the mean of Group A. Complete the following equation: 2 + (2)(2) - 2 ÷ 2 =? A. 5 B. 3 C. 2

D. 1 - verified answer A. 5 Which of the following is listed in order from least to greatest? A. -2, -3/4, -0.45, 3%, 0. B. -3/4, -0.45, -2, 0.36, 3% C. -0.45, -2, -3/4, 3%, 0. D. -2, -3/4, -0.45, 0.36, 3% - verified answer A. -2, -3/4, -0.45, 3%, 0. 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 - verified answer B. Group Alpha, Group Gamma, Group Beta Solve for x: 2x + 6 = 14 A. x = 4 B. x = 8 C. x = 10 D. x = 13 - verified answer A. x = 4 In the 2008 Olympic Games, the semifinal beat for the Women's 200m event had the following result: Time (in seconds)

C. 312 cubic inches D. 1144 cubic inches - verified answer A. 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. - verified answer B. Every day, the snow melts 5 centimeters. 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. - verified answer D. The dependent variable is Average hours worked per week. 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 - verified answer D. 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, B. 5, C. 7, D. 10,000 - verified answer B. 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 - verified answer D. 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 - verified answer C. 25h = 200 Two even integers and one odd integer are multiplied together. Which of the following could be their product? A. 3. B. 9 C. 16. D. 24 - verified answer D. 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 C. 2.4 mL D. 3.2 mL - verified answer C. 2.4 mL Using the chart below, which equation describes the relationship between x and y? x y

D. The number of trees planted by the Juniors is approximately normal, while the number of trees planted by the union is positively skewed. - verified answer B. The number of trees planted by the Junior is negatively skewed, while the number of trees planted by the Seniors is positively skewed. Solve for x: 4 = 2 x + 6 A. x = 8 B. x = - 4 C. x = - 8 D. x = 4 - verified answer B. x = - 4 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% - verified answer A. 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 - verified answer D. 351 mg 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 - verified answer C. The graph has a slope of 2,000 and a y-intercept of 0 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 - verified answer C. 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. $ B. $ C. $ D. $810 - verified answer A. $
  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. $ B. $ C. $ D. $37 - verified answer C. $