HESI A2 Math Practice Test 2023

Correct Answer: A

Rationale: To solve for x in the proportion 120:x = 40:0.5, first cross multiply to get 120*0.5 = 40*x. This simplifies to 60 = 40x. Divide both sides by 40 to find x = 1.5, which is choice A. The other choices are incorrect because: - B: 60 - Incorrect, doesn't match the calculation. - C: 0.167 - Incorrect, not the result of the calculation. - D: 16 - Incorrect, doesn't match the calculation.

Correct Answer: B

Rationale: To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator, which is 12 in this case. Then, we convert each fraction to have the same denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 0.75. Therefore, the correct answer is B: 1/2. Explanation for other choices: A: 5/12 - Incorrect. This sum is not equal to the sum of 1/3, 1/4, and 1/6. C: 1/3 - Incorrect. This is the value of just one of the given fractions, not the sum of all three

Correct Answer: C

Rationale: To convert 9/10 to a decimal, you divide 9 by 10. The result is 0.9. This is because in decimal form, the denominator becomes the place value. So 9 divided by 10 equals 0.9. Choice A (0.7) is incorrect because 7/10 is equivalent to 0.7. Choice B (0.8) is incorrect because 8/10 is equivalent to 0.8. Choice D (1) is incorrect as 1 represents the whole number equivalent, not the decimal form of 9/10. Therefore, the correct answer is C (0.9).

Correct Answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the variable: 5x = 10. Then, divide by 5 on both sides to solve for x: x = 2. Therefore, the correct answer is A (4) because x = 2 satisfies the original equation. Choices B, C, and D are incorrect as they do not yield a solution that satisfies the equation.

Correct Answer: A

Rationale: To convert pints to milliliters, we need to know that 1 pint = 473.176 milliliters. Therefore, 5 pints would be 5 x 473.176 = 2365.88 milliliters. Rounding up, we get approximately 2400 milliliters. This is why choice A (2400 milliliters) is correct. Choices B, C, and D are incorrect because they do not accurately convert pints to milliliters based on the conversion factor provided.