solve for x 5x 10 20
Logo

Nursing Elites

HESI A2

HESI A2 Math Practice Test 2023

1. Solve for x: 5x + 10 = 20.

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

2. A recent census of visitors to a popular beach showed that there was a ratio of 6:16 surfers to swimmers. Which of the following is a possible actual number of surfers and swimmers at the beach?

Correct answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.

3. Solve for x: x/250 = 3/500.

Correct answer: C

Rationale: To solve for x, cross-multiply: x/250 = 3/500. This simplifies to x = 1.5. Therefore, the correct answer is 1.5. Choice A (150) is incorrect because it does not account for the division by 250. Choice B (25.5) is incorrect as it is not the correct result of the calculation. Choice D (60) is incorrect as it is not the correct result of the calculation either.

4. Chun Mei earns a 5% commission on each appliance she sells. If she sells a washer for $749 and a dryer for $689, what will her commission be?

Correct answer: B

Rationale: To calculate Chun Mei's commission, we first find the total sales amount by adding the prices of the washer and dryer: $749 + $689 = $1438. Next, we calculate her 5% commission on this total sales amount: 0.05 * $1438 = $71.90. Therefore, Chun Mei's commission for selling both appliances will be $71.90. Choice B, $71.90, is the correct answer. Choices A, C, and D are incorrect as they do not reflect the accurate calculation of Chun Mei's commission based on the given scenario.

5. How many meters are in 5 kilometers?

Correct answer: B

Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.

Similar Questions

A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
Which numeric system does not use place value?
How many ounces are in 3 quarts?
Change 0.015 to a fraction.
How many liters are in 2500 milliliters?

Access More Features

HESI A2 Basic
$89/ 30 days

  • 3,000 Questions with answers
  • 30 days access

HESI A2 Premium
$129.99/ 90 days

  • Actual HESI A2 Questions
  • 3,000 questions with answers
  • 90 days access

Other Courses