HESI A2
Math HESI A2 Practice Test Questions
Question 1 of 5
Solve for x: x/5 = 3/10.
Correct Answer: D
Rationale: In the given question, we are asked to solve for x in the equation x/5 = 3/10. To solve this equation, we can cross multiply to eliminate the fractions. This gives us 10x = 15. To isolate x, we divide both sides by 10, giving us x = 1.5. Therefore, the correct answer is D) x = 1.5. Let's analyze why the other options are incorrect: A) x = 0.6 - This answer is incorrect because it does not satisfy the equation x/5 = 3/10. B) x = 0.6 - This is a duplicate of option A and is also incorrect. C) x = 0.9 - This answer is incorrect as well since it does not satisfy the original equation x/5 = 3/10. Educational context: This question tests the student's understanding of solving equations involving fractions. It assesses their ability to manipulate fractions and solve for a variable. Understanding how to cross multiply and isolate the variable is crucial in solving these types of equations. Mastering these skills is essential for success in higher-level math courses and various quantitative fields.
Question 2 of 5
Convert 5/8 to a decimal.
Correct Answer: A
Rationale: In this question, we are asked to convert the fraction 5/8 to a decimal. To do this, we need to divide the numerator (5) by the denominator (8). The correct answer is A) 0.625. The correct answer is 0.625 because when you divide 5 by 8, you get 0.625. This is the equivalent decimal form of the fraction 5/8. Option B) 0.5 is incorrect because 0.5 is the decimal equivalent of the fraction 1/2, not 5/8. Option C) 0.4 is incorrect because 0.4 is the decimal equivalent of the fraction 2/5, not 5/8. Option D) 0.75 is incorrect because 0.75 is the decimal equivalent of the fraction 3/4, not 5/8. Understanding how to convert fractions to decimals is essential in math as it helps in various calculations and real-life applications. It is crucial for students to grasp this concept to work with numbers effectively. Practice and understanding of these conversions enhance math skills and problem-solving abilities.
Question 3 of 5
How many ounces are in 1.5 quarts?
Correct Answer: C
Rationale: To convert quarts to ounces, you multiply the number of quarts by the conversion factor of 32 (since there are 32 ounces in a quart). Therefore, 1.5 quarts is equal to 1.5 x 32 = 48 ounces. The correct answer is 48 ounces. Choice A (32 ounces) is incorrect as it represents the amount of ounces in 1 quart, not 1.5 quarts. Choice B (16 ounces) is incorrect as it is half the amount of ounces in 1 quart. Choice D (64 ounces) is incorrect as it represents the amount of ounces in 2 quarts, not 1.5 quarts.
Question 4 of 5
Solve for x: 2x - 7 = 9.
Correct Answer: C
Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.
Question 5 of 5
How many grams are in 10 kilograms?
Correct Answer: A
Rationale: The correct answer is A: 10,000 grams. There are 1,000 grams in a kilogram. Therefore, to find the number of grams in 10 kilograms, you multiply 10 (kilograms) by 1,000 (grams/kilogram) to get 10,000 grams. Choice B (100 grams) is incorrect as it represents the conversion for 1 kilogram, not 10 kilograms. Choice C (1000 grams) is incorrect as it is equal to 1 kilogram, not 10 kilograms. Choice D (100,000 grams) is incorrect as it represents the conversion for 100 kilograms, not 10 kilograms.