solve for x 4x 2 18
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HESI A2

Math HESI A2 Practice Test

1. Solve for x: 4x + 2 = 18.

Correct answer: B

Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.

2. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?

Correct answer: A

Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set. To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours. Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer. Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.

3. What is the result of the expression 4/5 + 6/7?

Correct answer: A

Rationale: To add fractions with different denominators, you first need to find a common denominator. In this case, the common denominator for 5 and 7 is 35. Then, convert each fraction to have a denominator of 35. 4/5 becomes 28/35, and 6/7 becomes 30/35. Adding these fractions together gives 58/35, which simplifies to 1 23/35. Therefore, the correct answer is A, 1 23/35. Choice B, 2 5/7, is incorrect because it does not match the correct result. Choice C, 1 1/7, is incorrect as it is not the simplified form of the sum of the fractions. Choice D, 1 3/4, is incorrect as it is a different result and not the sum of 4/5 and 6/7.

4. What is the probability of getting a 1 on a six-sided die?

Correct answer: A

Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.

5. Report all decimal places: 3.7 + 7.289 + 4 =

Correct answer: A

Rationale: To find the sum, you add the numbers 3.7, 7.289, and 4 together. 3.7 + 7.289 + 4 equals 14.989. The correct answer is 14.989 because it includes all decimal places from the sum of the numbers provided. Choice B (5.226) is incorrect as it doesn't account for the sum of the given numbers. Choice C (15.0) is incorrect as it rounds the sum to the nearest whole number, losing the decimal precision. Choice D (5.012) is incorrect as it doesn't reflect the correct sum of the decimal numbers.

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