ATI TEAS 7
TEAS Math Questions
1. A car travels 60 miles in 1 hour. How long will it take to travel 180 miles at the same speed?
- A. 3 hours
- B. 4 hours
- C. 2.5 hours
- D. 5 hours
Correct answer: A
Rationale: To find the time needed to travel 180 miles at the same speed of 60 miles per hour, you divide the total distance by the speed. 180 miles ÷ 60 mph = 3 hours. Therefore, it will take 3 hours to travel 180 miles at the given speed. Choice B, 4 hours, is incorrect as it does not align with the calculation. Choice C, 2.5 hours, is incorrect as it underestimates the time needed for the distance. Choice D, 5 hours, is incorrect as it overestimates the time required based on the given speed.
2. How do you convert yards to feet, and feet to yards?
- A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
- B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
- C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
- D. Multiply yards by 4 to get feet; divide feet by 4 to get yards
Correct answer: A
Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.
3. Simplify the expression. Which of the following is correct? (3/2)(8/3) ÷ (5/4)
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer: B
Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): (3/2)(8/3) ÷ (5/4) = (24/6) ÷ (5/4) = (4/1) ÷ (5/4). To divide fractions, the second fraction is flipped and then multiplied by the first fraction, resulting in (4/1)(4/5) = (16/5), which simplifies to 3(1/5) or 2.
4. A patient requires a 20% decrease in medication dosage. Their current dosage is 400 mg. What will their dosage be after the decrease?
- A. 60 mg
- B. 80 mg
- C. 120 mg
- D. 320 mg
Correct answer: B
Rationale: To calculate a 20% decrease of 400 mg, you multiply 400 mg by 0.20 to get 80 mg. Subtracting 80 mg from the current dosage of 400 mg results in a new dosage of 320 mg. Choice A is incorrect because it miscalculates the decrease. Choice C is incorrect as it represents a 20% increase instead of a decrease. Choice D is incorrect as it represents the initial dosage, not the reduced dosage.
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?
- A. 4x < 30
- B. 4x < 92
- C. 4x > 30
- D. 4x > 92
Correct answer: D
Rationale: Joshua must answer more than 92 points' worth of questions. Since each question is worth 4 points, the inequality is 4x > 92. Choice A (4x < 30) is incorrect as it represents that Joshua must answer less than 30 questions correctly, not earning more than 92 points. Choice B (4x < 92) is incorrect as it signifies that Joshua must earn less than 92 points, which contradicts the requirement. Choice C (4x > 30) is incorrect as it implies that Joshua must answer more than 30 questions correctly, but the threshold is 92 points, not 30 points.
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