Math HESI A2 Practice Test

Correct Answer: C

Rationale: To solve for x, add 7 to both sides of the equation: 2x - 7 + 7 = 9 + 7. This simplifies to 2x = 16. Then, divide by 2 on both sides to get x = 8. This is the correct answer (C) because it correctly follows the principles of algebra. Choices A, B, and D are incorrect as they do not yield the correct solution when substituted back into the original equation.

Correct Answer: D

Rationale: To convert ounces to pounds, divide the number of ounces by 16 (since there are 16 ounces in a pound). So, 128 ounces ÷ 16 = 8 pounds. Therefore, the correct answer is D: 8 pounds. A: 16 pounds - Incorrect, as 128 ounces is equivalent to 8 pounds. B: 10 pounds - Incorrect, as it does not result from the conversion of 128 ounces. C: 12 pounds - Incorrect, as it is not the accurate conversion from ounces to pounds.

Correct Answer: D

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 70 mph and time is 6 hours, Distance = 70 mph x 6 hours = 420 miles. Therefore, the correct answer is D. Choice A and B are the same, so they are incorrect. Choice C is incorrect as it does not match the calculated distance.

Correct Answer: B

Rationale: To express 0.75 as a fraction, first note that 0.75 is equivalent to 75/100. Simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 25, gives 3/4. Therefore, the correct answer is B: 3/4. Option A (4/5) is incorrect as it does not represent 0.75. Option C (1/2) is incorrect as it is not equal to 0.75. Option D (1/4) is incorrect as it is not the equivalent fraction of 0.75.

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 15 3/4 = (4*15+3)/4 = 63/4, and 8 2/5 = (5*8+2)/5 = 42/5. Then, find a common denominator, which is 20 in this case. Subtract the fractions: 63/4 - 42/5 = (63*5 - 42*4)/20 = (315 - 168)/20 = 147/20. Finally, convert the result back to a mixed number: 147/20 = 7 7/20. Therefore, the correct answer is A: 7 7/20. Choices B, C, and D are incorrect because they do not correctly represent the result of the subtraction calculation.