HESI A2 Math Practice

Correct Answer: D

Rationale: To subtract 8.4 from 3.7, we perform 3.7 - 8.4. First, subtract the whole numbers: 3 - 8 = -5. Then subtract the decimals: 0.7 - 0.4 = 0.3. Combine the results to get -5.3. Therefore, the correct answer is option D: 4.7. Option A (4.5) is the result of subtracting the whole numbers but not the decimals. Option B (4.8) and Option C (4.6) are incorrect as they do not result from the correct subtraction calculation.

Correct Answer: A

Rationale: To solve for x in the equation x + 44 / 2x = 11, we first simplify by multiplying both sides by 2x to get rid of the fraction. This gives us x^2 + 44 = 22x. Rearranging, we get x^2 - 22x + 44 = 0. This quadratic equation can be factored as (x - 11)(x - 4) = 0. Therefore, x = 11 or x = 4. However, x = 4 does not satisfy the original equation, so the correct answer is x = 11 (Choice A). Choices B, C, and D are incorrect as they do not satisfy the equation after substitution.

Correct Answer: A

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 2 hours. So, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is A: 120 miles. Option B (180 miles) is incorrect as it would be the distance traveled if the train traveled for 3 hours at 60 mph. Option C (100 miles) and D (240 miles) are incorrect as they do not align with the actual calculation of Distance = 60 mph x 2 hours = 120 miles.

Correct Answer: D

Rationale: The correct answer is D (50%). To determine the probability of getting an even number when rolling a dice, we first need to identify the total possible outcomes, which is 6 (numbers 1 to 6 on a dice). Out of these 6 outcomes, 3 are even numbers (2, 4, 6). Therefore, the probability of getting an even number is calculated as the number of favorable outcomes (even numbers) divided by the total possible outcomes, which is 3/6 = 1/2 = 50%. Choice A (16%) is incorrect because it represents the probability of rolling a specific number (1 out of 6) rather than the probability of rolling an even number. Choice B (33%) and Choice C (66%) are also incorrect as they do not accurately represent the probability of rolling an even number based on the total number of outcomes.

Correct Answer: A

Rationale: To change 0.015 to a fraction, we first identify that the number is in the thousandths place. Therefore, we write it as 15/1000. Then, we simplify by dividing both numerator and denominator by 5 to get the simplest form, which is 3/200. Choice A (3/200) is correct because it is the simplified fraction equivalent to 0.015. Choices B, C, and D are incorrect as they do not represent the correct conversion of the decimal 0.015 to a fraction.