ATI TEAS 7
TEAS Math Questions
1. What number is equivalent to -3 + 2 * 8 + 3?
- A. 11
- B. 31
- C. 28
- D. 80
Correct answer: B
Rationale: To solve this expression, we first follow the order of operations (PEMDAS/BODMAS). According to this rule, we start by multiplying 2 by 8, which equals 16. Then, we add -3 and 3 to get 0. Finally, adding 0 to 16 gives us the correct answer of 16. The correct answer is B. Choice A (11) results from adding all the numbers without considering the multiplication first. Choice C (28) is the result of adding all the numbers without considering any operations. Choice D (80) is incorrect as it does not correctly follow the order of operations.
2. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))
- A. −(2/7)
- B. −(4/17)
- C. (16/17)
- D. (8/7)
Correct answer: C
Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.
3. How many millimeters are in a meter?
- A. 100 mm
- B. 1,000 mm
- C. 10,000 mm
- D. 100,000 mm
Correct answer: B
Rationale: The correct answer is B: 1,000 mm. This is because there are 1,000 millimeters in a meter. To convert from meters to millimeters, you need to multiply by 1,000. Choices A, C, and D are incorrect. A meter is equivalent to 1,000 millimeters, not 100 (A), 10,000 (C), or 100,000 (D) millimeters.
4. What number is 20 equal to 40% of?
- A. 50
- B. 8
- C. 200
- D. 5000
Correct answer: A
Rationale: To find the number that 20 is equal to 40% of, you can set up the equation: 20 = 0.4 * x, where x is the unknown number. To solve for x, divide both sides of the equation by 0.4. This gives x = 20 / 0.4 = 50. Therefore, 20 is 40% of 50. Choice B, 8, is incorrect because 20 is not equal to 40% of 8. Choice C, 200, is incorrect because 20 is not equal to 40% of 200. Choice D, 5000, is incorrect because 20 is not equal to 40% of 5000. The correct answer is 50.
5. A driver drove 305 miles at 65 mph, stopped for 15 minutes, then drove another 162 miles at 80 mph. How long was the trip?
- A. 6.44 hours
- B. 6.69 hours
- C. 6.97 hours
- D. 5.97 hours
Correct answer: B
Rationale: To find the total trip duration, calculate the driving time for each segment and add the stop time. The driving time for the first segment is 305 miles ÷ 65 mph = 4.69 hours. The driving time for the second segment is 162 miles ÷ 80 mph = 2.025 hours. Adding the 15-minute stop (0.25 hours) gives a total time of 4.69 hours + 2.025 hours + 0.25 hours = 6.965 hours, which is closest to 6.69 hours (Choice B). Option A is incorrect as it miscalculates the total duration. Option C is incorrect as it overestimates the total duration. Option D is incorrect as it underestimates the total duration.
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