a store is offering a 25 discount on all items if an item costs 120 what is the discounted price

HESI A2

HESI A2 Math

1. A store is offering a 25% discount on all items. If an item costs $120, what is the discounted price?

A. $90
B. $80
C. $75
D. $95

Correct answer: A

Rationale: To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90. Therefore, the correct answer is $90. Choice B, $80, is incorrect as it does not consider the 25% discount. Choice C, $75, is incorrect as it is lower than the correct calculation. Choice D, $95, is incorrect as it does not reflect the reduction from the discount.

2. Solve for x: 3x - 5 = 10

A. x = 5
B. x = 10
C. x = 15
D. x = 20

Correct answer: A

Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.

3. How many liters are in 2,000 milliliters?

A. 4 liters
B. 1 liter
C. 2 liters
D. 4 liters

Correct answer: C

Rationale: The correct answer is 2 liters. There are 1,000 milliliters in a liter. Therefore, 2,000 milliliters is equal to 2 liters. Choice A is incorrect because it incorrectly doubles the conversion. Choice B is incorrect as it represents the amount in milliliters, not liters. Choice D is a duplicate of choice A, which is incorrect.

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. A lab test result shows a blood glucose level of 5.5 millimoles per liter (mmol/L). What is the equivalent level in milligrams per deciliter (mg/dL)?

A. 55 mg/dL
B. 5.5 mg/dL
C. 0.55 mg/dL
D. 550 mg/dL

Correct answer: A

Rationale: To convert the blood glucose level from millimoles per liter (mmol/L) to milligrams per deciliter (mg/dL), we need to perform a double conversion. 1 millimole is equivalent to 180.15 milligrams, and 1 liter is equal to 10 deciliters. First, multiply the glucose level (5.5 mmol/L) by the conversion factor for millimoles to milligrams (180.15 mg/mmol), then divide by the conversion factor for liters to deciliters (10 dL/L): 5.5 mmol/L * 180.15 mg/mmol / 10 dL/L ≈ 55 mg/dL. Therefore, the equivalent blood glucose level in mg/dL is 55. Choice A is correct. Choice B is incorrect as it does not account for the conversion factors properly. Choices C and D are significantly off as they do not follow the correct conversion calculations.