TEAS Exam Math Practice

Correct Answer: C

Rationale: To solve the equation 3x + 4 = 19, we first isolate the variable x. Subtract 4 from both sides: 3x = 15 Then, divide by 3 on both sides: x = 5 Therefore, the correct answer is C: x = 5. Choice A is incorrect as 3(3) + 4 = 13, not 19. Choice B is incorrect as 3(4) + 4 = 16, not 19. Choice D is incorrect as 3(6) + 4 = 22, not 19.

Correct Answer: C

Rationale: To round 2.7834 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is 5 or greater, we round up the tenths place digit by 1. Therefore, 2.7834 rounded to the nearest tenth is 2.8 (Choice C). Choice A (2.7) is incorrect because rounding down would be incorrect based on the given number. Choice B (2.78) is incorrect because rounding to the nearest tenth requires looking at the hundredths place. Choice D (2.88) is incorrect as it doesn't follow the rounding rules for the nearest tenth.

Correct Answer: D

Rationale: To convert a decimal to a fraction, we count the number of decimal places and put the digits after the decimal over the appropriate power of 10. For 3.28, there are two decimal places, so we write it as 328/100. Simplifying gives us 41/25, which matches choice D. Choices A, B, and C are incorrect as they do not represent the value of 3.28 when converted to a fraction. Option A is equivalent to 3.28 written as 3.28/1, which is not correct. Options B and C do not represent 3.28 accurately either.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the diameter of a circle from its circumference, we use the formula: Diameter = Circumference / π. Given the circumference is 49 feet, we can calculate the diameter by dividing 49 by π (approximately 3.14), resulting in 15.6 feet, which is choice A. Option B, 17.8 feet, is incorrect as it does not match the calculation. Option C, 49 feet, is the circumference, not the diameter. Option D, 153.9 feet, is incorrect as it is not the result of dividing the circumference by π. Therefore, choice A is the correct answer based on the formula for finding the diameter of a circle.