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: 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: A

Rationale: To convert 3/4 to a decimal, divide 3 by 4. 3 ÷ 4 = 0.75, so the correct answer is A. Choice B (0.5) is incorrect because that's the decimal form of 1/2. Choice C (0.65) and D (0.85) are incorrect as they do not represent the fraction 3/4 accurately.

Correct Answer: A

Rationale: To convert 5/8 to a decimal, divide 5 by 8, which equals 0.625. The correct answer is A (0.625) because it is the result of dividing the numerator by the denominator. Choice B (0.5) is incorrect as 5/8 is not equal to 0.5. Choice C (0.4) and choice D (0.75) are also incorrect as they do not represent the equivalent decimal value of 5/8.

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.