ATI TEAS Math Practice Test

Questions 39

ATI TEAS 7

ATI TEAS 7 Test Bank

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 book has a width of 2.5 decimeters. What is the width of the book in centimeters?

Correct Answer: B

Rationale: To convert decimeters to centimeters, we use the conversion factor: 1 decimeter = 10 centimeters. Given the book's width is 2.5 decimeters, we multiply 2.5 by 10 to get the width in centimeters, which equals 25 centimeters. Therefore, choice B (25 centimeters) is the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters based on the conversion factor. Choice A (0.25 centimeters) is a common mistake of misplacing the decimal point. Choice C (250 centimeters) is an error of incorrectly multiplying instead of using the conversion factor. Choice D (0.025 centimeters) is another mistake of misplacing the decimal point during conversion.

Question 3 of 5

If a train travels 60 miles per hour for 2 hours, how far does the train travel?

Correct Answer: C

Rationale: To calculate the distance traveled by the train, we use the formula Distance = Speed x Time. Given the speed of 60 mph and time of 2 hours, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is C: 120 miles. Choice A is incorrect because it only represents the speed of the train, not the total distance. Choice B and D are incorrect as they do not consider both speed and time to calculate the distance correctly.

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

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 number of test questions. How many questions can Mathew answer incorrectly and still qualify for varsity sports?

Correct Answer: C

Rationale: To earn more than 96 points, Mathew needs to answer at least 97 points out of 120 (40 questions * 3 points each). This means he can only get a maximum of 23 questions wrong (120 - 97 = 23). So, Mathew can answer up to 7 questions incorrectly (23/3 = 7.67, rounded down to 7) and still qualify for varsity sports. Therefore, the correct answer is C: 0 ≤ x < 8, as Mathew can answer 0 to 7 questions incorrectly and still meet the eligibility requirement. Choices A, B, and D are incorrect because they do not accurately reflect the maximum number of questions Mathew can answer incorrectly based on the total points needed for eligibility.

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