a farmer plans to install fencing around a certain field if each side of the hexagonal field is 320 feet long and fencing costs 175 per foot how much
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ATI TEAS 7

ATI TEAS Math Practice Test

1. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $1.75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?

Correct answer: C

Rationale: To find the perimeter of a hexagonal field with 6 sides, multiply the length of one side (320 feet) by the number of sides (6): 320 x 6 = 1920 feet. The total cost of the fencing material can be calculated by multiplying the perimeter by the cost per foot: 1920 feet x $1.75 = $3360. Therefore, the farmer will need to spend $3,360 on fencing material to enclose the perimeter of the field. Choice A, B, and D are incorrect as they do not accurately calculate the total cost based on the given measurements and cost per foot.

2. Express 18/5 as a reduced mixed number.

Correct answer: A

Rationale: To convert the improper fraction 18/5 to a mixed number, divide 18 by 5. The quotient is 3 with a remainder of 3, which translates to 3 3/5. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the conversion of 18/5 to a mixed number.

3. Simplify (x^2 - y^2) / (x - y)

Correct answer: A

Rationale: The expression π‘₯^2 - 𝑦^2 is a difference of squares, which follows the identity: π‘₯^2 - 𝑦^2 = (π‘₯ + 𝑦)(π‘₯ - 𝑦). Therefore, the given expression becomes: (π‘₯^2 - 𝑦^2) / (π‘₯ - 𝑦) = (π‘₯ + 𝑦)(π‘₯ - 𝑦) / (π‘₯ - 𝑦). Since (π‘₯ - 𝑦) appears in both the numerator and the denominator, they cancel each other out, leaving π‘₯ + 𝑦. Thus, the simplified form of (π‘₯^2 - 𝑦^2) / (π‘₯ - 𝑦) is π‘₯ + 𝑦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.

4. A patient requires a 30% decrease in their medication dosage. Their current dosage is 340 mg. What will their dosage be after the decrease?

Correct answer: B

Rationale: To calculate a 30% decrease of 340 mg, multiply 340 by 0.30 to get 102. Subtracting 102 from 340 gives a new dosage of 238 mg. Choice A (70 mg) is incorrect as it represents a 80% decrease, not 30%. Choice C (270 mg) is incorrect as it does not reflect a decrease but rather the original dosage. Choice D (340 mg) is incorrect as it is the original dosage and not reduced by 30%.

5. What is 4 + 5 + 12 + 9?

Correct answer: B

Rationale: The correct answer is B: 30. To find the sum, you need to add 4 + 5 + 12 + 9, which equals 30. Choice A (20) is incorrect because it does not account for the correct addition of the numbers provided. Choice C (40) is incorrect as it represents the sum of the numbers incorrectly. Choice D (50) is also incorrect as it is not the sum of the given numbers.

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