HESI A2
HESI A2 Quizlet Math
1. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
2. What is the solution to the equation 4y - 6 = 14? Solve for y.
- A. 4
- B. 5
- C. 6
- D. 7
Correct answer: B
Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.
3. A honeycomb cell has six equal sides, each measuring 8mm. What is its perimeter?
- A. 32mm
- B. 40mm
- C. 48mm
- D. 56mm
Correct answer: C
Rationale: To find the perimeter of a shape with equal sides, you multiply the length of one side by the number of sides. In this case, the honeycomb cell has 6 sides, each measuring 8mm. Therefore, the perimeter is calculated as perimeter = number of sides * side length = 6 * 8mm = 48mm. Choices A, B, and D are incorrect because they do not correctly calculate the total length around the honeycomb cell with six sides.
4. If John buys 3 bags of chips for $4.50, how much will it cost John to buy five bags of chips?
- A. $7.50
- B. $6.00
- C. $5.00
- D. $4.00
Correct answer: A
Rationale: If 3 bags of chips cost $4.50, then the cost per bag is $4.50/3 = $1.50. To buy five bags, John would need to pay 5 bags * $1.50 = $7.50. Therefore, it will cost John $7.50 to buy five bags of chips. The other choices are incorrect because they do not accurately calculate the total cost based on the given information.
5. What is 40% of 150?
- A. 60
- B. 65
- C. 70
- D. 85
Correct answer: A
Rationale: To find 40% of 150, you multiply 150 by 0.40 (which represents 40% in decimal form). This calculation results in 60. Therefore, choice A, 60, is the correct answer. Choice B (65), choice C (70), and choice D (85) are incorrect as they do not reflect the accurate calculation for finding 40% of 150.
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