ATI TEAS 7
ATI TEAS Math Practice Test Questions
Question 1 of 5
A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?
Correct Answer: C
Rationale: To find the number of data analysis problems, first, determine the total ratio parts: 4 + 2 = 6. Then, calculate the number of parts for algebra problems: 2/6 * 18 = 6. Finally, find the number of data analysis problems: 4/6 * 18 = 12. Therefore, the correct answer is C (36). Option A (24) is incorrect as it miscalculates the ratio. Option B (28) and Option D (38) do not consider the given ratio and total number of algebra problems.
Question 2 of 5
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?
Correct Answer: D
Rationale: The correct answer is D (6.97 hours). To calculate the total time taken, first find the time for the first segment: 305 miles / 65 mph = 4.69 hours. Then add the 15-minute stop in hours: 15 minutes / 60 = 0.25 hours. Next, find the time for the second segment: 162 miles / 80 mph = 2.025 hours. Add up these times: 4.69 hours + 0.25 hours + 2.025 hours = 6.965 hours, which rounds to 6.97 hours. Choice A is incorrect as it does not account for the distance covered and the stop. Choices B and C are incorrect as they do not consider the time for the second segment.
Question 3 of 5
Pernell received the following scores on five exams: 81, 92, 87, 89, and 94. What is the approximate average of these scores?
Correct Answer: C
Rationale: To calculate the average, add up all the scores (81 + 92 + 87 + 89 + 94 = 443) and divide by the total number of scores (5). 443 ÷ 5 = 88.6, which rounds to 89. Therefore, the approximate average of Pernell's scores is 89. Summary: - A (81) is incorrect as it is the lowest score. - B (84) is incorrect as it is not the exact average of the scores. - D (91) is incorrect as it is higher than the calculated average.
Question 4 of 5
Joshua has to earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points, and the test has 30 questions. Which inequality can be solved to determine the number of questions Joshua must answer correctly?
Correct Answer: D
Rationale: To determine the number of questions Joshua must answer correctly, we can use the inequality 4x > 92, where x represents the number of questions answered correctly. This is because each correct answer earns 4 points, and Joshua needs more than 92 points to qualify for the scholarship. To solve for x, we divide both sides by 4, giving us x > 23. So, Joshua must answer more than 23 questions correctly to qualify. Choices A, B, and C are incorrect because: A (4x < 30): This inequality suggests Joshua needs to answer less than 30 questions in total, which is not relevant to the scholarship qualification. B (4x < 92): This inequality implies Joshua needs less than 92 points, which contradicts the requirement of earning more than 92 points. C (4x > 30): This inequality indicates Joshua needs to answer more than 30 questions in total, but it does not consider the points required for
Question 5 of 5
Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8
Correct Answer: D
Rationale: To arrange the numbers from least to greatest, we convert them to decimals or find a common denominator. Converting to decimals, we get: 7/3 = 2.33, 9/2 = 4.5, 10/9 = 1.11, 7/8 = 0.875. Therefore, the correct order is 7/8 < 10/9 < 7/3 < 9/2. Choice D is correct as it follows this order. Choices A, B, and C are incorrect as they do not reflect the correct ascending sequence.
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