ATI TEAS 7
TEAS Exam Math Practice
1. What is the result of (4.71 × 10^3) - (2.98 × 10^2)? Which of the following is the correct simplified expression?
- A. 1.73 × 10
- B. 4.412 × 10^2
- C. 1.73 × 10^3
- D. 4.412 × 10^3
Correct answer: D
Rationale: The correct answer is D: 4.412 × 10^3. To simplify the expression, rewrite 4.71 × 10^3 as 47.1 × 10^2. Subtract the values in front of 10^2: 47.1 - 2.98 = 44.12. Rewriting this gives 44.12 × 10^2 = 4.412 × 10^3. Choice A is incorrect as it does not account for the correct subtraction result. Choice B is incorrect as it does not correctly simplify the expression. Choice C is incorrect as it provides an incorrect power of 10 in the simplified expression.
2. Adrian measures the circumference of a circular picture frame with a radius of 3 inches. Which of the following is the best estimate for the circumference of the frame?
- A. 12 inches
- B. 16 inches
- C. 18 inches
- D. 24 inches
Correct answer: C
Rationale: The circumference of a circle is given by the formula Circumference = 2 x π x radius. Given that the radius of the picture frame is 3 inches, the estimated circumference can be calculated as 2 x π x 3 = 18.84 inches, which is closest to 18 inches among the given options. Choice A (12 inches) is too small, choice B (16 inches) is also underestimated, and choice D (24 inches) is too large based on the calculated value using the formula.
3. If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?
- A. 45 mph
- B. 50 mph
- C. 55 mph
- D. 60 mph
Correct answer: B
Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.
4. If 9.5% of a town's population of 51,623 people voted for a proposition, approximately how many people voted for the proposition?
- A. 3000
- B. 5000
- C. 7000
- D. 10000
Correct answer: B
Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted: 51,623 * 9.5% = 51,623 * 0.095 ≈ 4,904. Therefore, approximately 5,000 people voted for the proposition. Choice A (3000), C (7000), and D (10000) are incorrect because they do not accurately represent 9.5% of the town's population.
5. If Mom's car drove 72 miles in 90 minutes, how fast did she drive in feet per second?
- A. 0.8 feet per second
- B. 48.9 feet per second
- C. 0.009 feet per second
- D. 70.4 feet per second
Correct answer: D
Rationale: To convert miles per hour to feet per second, first convert time to hours: 90 minutes = 1.5 hours. Then, calculate the speed in miles per hour: 72 miles in 1.5 hours = 48 mph. Finally, convert mph to feet per second using the conversion factor 1 mph = 1.47 feet per second: 48 mph * 1.47 = 70.4 feet per second. Therefore, the correct answer is 70.4 feet per second. Choices A, B, and C are incorrect because they do not reflect the correct conversion from miles per hour to feet per second.
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