simplify the expression 5 8
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HESI A2

HESI A2 Math Practice Test 2023

1. Simplify the expression: -5 + (-8)

Correct answer: A

Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.

2. What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?

Correct answer: D

Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.

3. Which type of chemical reaction involves two ionic compounds where the reactants yield 'switched partners'?

Correct answer: B

Rationale: The correct answer is 'Double replacement.' In a double replacement reaction, two ionic compounds react by exchanging ions, resulting in the formation of two new compounds where the positive and negative ions have 'switched partners.' This type of reaction is characterized by the exchange of ions between the reactants. Choice A, 'Single replacement,' involves an element replacing another in a compound, not the exchange of partners like in the given scenario. Choice C, 'Synthesis,' is the combination of two or more substances to form a more complex product, not involving the exchange of partners. Choice D, 'Decomposition,' is the breakdown of a compound into simpler substances, which is different from the scenario described in the question.

4. What word is best to fill in the blank in the following sentence? Jenny loaned Luis 50 dollars, and he repaid ___________ within the month.

Correct answer: C

Rationale: In this sentence, the pronoun should refer to Luis, who borrowed the money. Since Luis is a male, the correct pronoun to use in this context is 'him.' Therefore, the correct answer is 'him.' Choices A, B, and D are incorrect as they do not match the gender of Luis or do not make sense in the context of the sentence.

5. Which verb correctly completes the sentence? After throwing their sleeping bags into the backseat of their car, they ___ more than 400 miles to reach their destination.

Correct answer: C

Rationale: In this sentence, the action of driving more than 400 miles is a past action that already took place after they threw their sleeping bags into the backseat. 'Drove' is the correct past tense form of the verb to match this past action. Choice A, 'Driving,' is in the present participle form and does not correctly indicate the completion of the action in the past. Choice B, 'Having driven,' is in the present perfect form and does not fit the sequence of events in the sentence. Choice D, 'Had drove,' is incorrect due to the incorrect use of 'had' with the past form of 'drive.' Therefore, the most appropriate choice is 'Drove.'

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