HESI A2
HESI A2 Math Practice Test 2023 Questions
Question 1 of 5
Solve for x: 5x + 10 = 20.
Correct Answer: A
Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.
Question 2 of 5
Subtract 12 1/8 - 9 1/2.
Correct Answer: A
Rationale: To subtract mixed numbers, first subtract the fractions: 1/8 - 1/2 = -3/8. Then, subtract the whole numbers: 12 - 9 = 3. Combine the whole number and fraction: 3 - 3/8 = 2 5/8. Therefore, the correct answer is A. Choice B is incorrect because it does not reflect the correct subtraction of the fractions. Choices C and D are incorrect as they do not result from the correct subtraction process outlined above.
Question 3 of 5
A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?
Correct Answer: A
Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.
Question 4 of 5
How many inches are in 1.5 yards?
Correct Answer: A
Rationale: In this question, the correct answer is A) 54 inches. To convert yards to inches, we need to remember that 1 yard is equal to 36 inches. So, if we have 1.5 yards, we need to multiply 1.5 by 36 to get the equivalent in inches. Therefore, 1.5 yards is equal to 54 inches. Option B) 60 inches is incorrect because it assumes that 1 yard is equal to 40 inches, which is not the correct conversion factor. Option C) 72 inches is incorrect as it assumes that 1 yard is equal to 48 inches, which is also an incorrect conversion. Option D) 84 inches is incorrect as it assumes that 1 yard is equal to 56 inches, which is not the accurate conversion. This question is important in real-life situations where measurements need to be converted from one unit to another. Understanding basic unit conversions like this is crucial in various fields such as science, engineering, and construction. It also helps students develop their problem-solving skills and mathematical reasoning.
Question 5 of 5
Change 0.004 to a ratio.
Correct Answer: A
Rationale: In this question, changing 0.004 to a ratio involves converting the decimal to a fraction first. To convert 0.004 to a fraction, we move the decimal point three places to the right to get 4/1000, which simplifies to 1/250. Therefore, the correct ratio for 0.004 is 1:250. Option A (1:250) is correct because it represents the simplified ratio of 0.004. Option B (17:40), Option C (9:20), and Option D (20:40) are incorrect ratios for 0.004. These ratios do not accurately represent the value of 0.004 when converted to a ratio. Option B, C, and D do not simplify to 0.004. In an educational context, understanding how to convert decimals to ratios is important for practical applications in various fields such as science, engineering, and finance. This skill helps students develop a deeper understanding of number relationships and improves their ability to work with different forms of numerical representations. Mastering this conversion process enhances problem-solving skills and mathematical fluency.