ATI TEAS 7
TEAS Practice Test Math
1. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23
- A. 6
- B. 21
- C. 38
- D. 23
Correct answer: C
Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.
2. What is the sum of 3/8 and 5/8?
- A. 1
- B. 1 1/4
- C. 01-Feb
- D. 03-Apr
Correct answer: A
Rationale: To find the sum of fractions, add the numerators if the denominators are the same. Here, 3/8 + 5/8 = (3+5)/8 = 8/8 = 1. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct sum of the fractions provided in the question.
3. What is the sum of two odd numbers, two even numbers, and an odd number and an even number?
- A. Odd + Odd = Even; Even + Even = Even; Odd + Even = Odd
- B. Odd + Odd = Odd; Even + Even = Even; Odd + Even = Even
- C. Odd + Odd = Even; Even + Even = Odd; Odd + Even = Even
- D. Odd + Odd = Odd; Even + Even = Odd; Odd + Even = Even
Correct answer: A
Rationale: The sum of two odd numbers is even because odd numbers have a difference of 1 and adding them results in a multiple of 2. The sum of two even numbers is even because even numbers are multiples of 2. When an odd number and an even number are added, the result is odd because the even number contributes an extra 1 to the sum, making it an odd number. Therefore, the correct answer is A. Choices B, C, and D have incorrect combinations of the sum of odd and even numbers.
4. 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
Correct answer: D
Rationale: To find the total time, we first calculate the time taken for the first leg of the trip by dividing the distance of 305 miles by the speed of 65 mph, which equals 4.69 hours. After that, we add the 15 minutes spent at the gas station, which is 0.25 hours. Next, we calculate the time taken for the second leg of the trip by dividing the distance of 162 miles by the speed of 80 mph, which equals 2.03 hours. Adding these times together (4.69 hours + 0.25 hours + 2.03 hours) gives us a total time of 6.97 hours. Therefore, it will have been 6.97 hours since the driver began the trip. Choice A is incorrect as it does not account for the time spent driving the second leg of the trip. Choice B is incorrect as it only considers the time for the first leg of the trip and the time spent at the gas station. Choice C is incorrect as it misses the time taken for the second leg of the trip.
5. Which of the following best describes the data set below? 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
- A. Uniform
- B. Right-skewed
- C. Bimodal
- D. Left-skewed
Correct answer: C
Rationale: The correct answer is C: Bimodal. A bimodal distribution has two distinct peaks or modes. In this data set, the numbers 2 and 8 appear more frequently than other numbers, creating two modes (2 and 8). Choices A, B, and D are incorrect. Option A, 'Uniform,' describes a distribution where all values have equal frequency, which is not the case in this data set. Options B and D, 'Right-skewed' and 'Left-skewed,' refer to distributions where the data is skewed towards one side, which is not observed in this dataset. Therefore, the data set is best described as bimodal.
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