ATI TEAS 7
TEAS Exam Math Practice Questions
Question 1 of 5
What is the result of (6.4)(2.8) · 0.4? Which of the following is correct?
Correct Answer: D
Rationale: In this question, we are asked to find the result of the expression (6.4)(2.8) · 0.4. To solve this, we first multiply 6.4 by 2.8, which gives us 17.92. Then, we multiply this result by 0.4 to get the final answer. The correct option is D) 44.8 because 17.92 (result of (6.4)(2.8)) multiplied by 0.4 equals 44.8. This demonstrates the application of the order of operations in mathematics, where multiplication is done before addition or subtraction. The incorrect options can be explained as follows: - Option A) 16.62 is incorrect because it does not represent the result of the given expression. - Option B) 17.92 is the result of the first multiplication but fails to account for the additional multiplication by 0.4. - Option C) 41.55 is incorrect as it is not the correct result obtained through the given operations. Educationally, this question tests the test-taker's understanding of multiplying decimals and applying the order of operations correctly. It reinforces the importance of being meticulous in mathematical calculations and following the correct sequence of operations to arrive at the accurate solution.
Question 2 of 5
Based on a favorable performance review at work, Matt receives a 3/20 increase in his hourly wage. If his original hourly wage is represented by w, which of the following represents his new wage?
Correct Answer: D
Rationale: To calculate Matt's new wage after a 3/20 increase, we need to add this percentage increase to his original wage. The increase in decimal form is 3/20 = 0.15. Therefore, the new wage is w + w(0.15) = w(1 + 0.15) = 1.15w. This means the correct answer is D. Choices A, B, and C are incorrect because they do not account for the full 3/20 increase in the wage. Choice A (0.15w) represents only the increase percentage, not the total new wage. Choice B (0.85w) and Choice C (1.12w) do not accurately calculate the new wage after the increase, leading to incorrect representations of the final wage.
Question 3 of 5
A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?
Correct Answer: A
Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.
Question 4 of 5
Which of the following is equivalent to 8 pounds and 8 ounces? (Round to the nearest tenth of a kilogram.)
Correct Answer: B
Rationale: To convert 8 pounds and 8 ounces to kilograms, first convert 8 ounces to pounds by dividing by 16 (since 1 pound = 16 ounces): 8 ounces / 16 = 0.5 pounds. Then add this to the original 8 pounds: 8 pounds + 0.5 pounds = 8.5 pounds. To convert pounds to kilograms, use the conversion factor 1 pound = 0.453592 kilograms. Therefore, 8.5 pounds 0.453592 kg = 3.855 kilograms, which rounds to 3.9 kilograms. Choice A (3.6 kilograms), Choice C (17.6 kilograms), and Choice D (18.7 kilograms) are incorrect conversions or have errors in calculation compared to the correct conversion of 3.9 kilograms.
Question 5 of 5
What is the result of (4.71 10^3) - (2.98 10^2)? Which of the following is the correct simplified expression?
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.