a class of 48 students has 22 boys and 26 girls what is the ratio of girls to boys in the class
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ATI TEAS 7

TEAS Practice Test Math

1. In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?

Correct answer: B

Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.

2. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?

Correct answer: B

Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.

3. Solve for x: 3(x - 5) = 2(x + 3)

Correct answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x, start by distributing the terms inside the parentheses. This gives you 3x - 15 = 2x + 6. Next, combine like terms by moving all terms with x to one side and the constants to the other side. Subtracting 2x from both sides gives x - 15 = 6. Finally, adding 15 to both sides results in x = 21. Therefore, the correct answer is A: x = 3. Choices B, C, and D are incorrect as they do not result from the correct calculations of the equation.

4. What is the value of the sum of 0.75 and 0.625?

Correct answer: B

Rationale: Adding 0.75 and 0.625 gives: 0.75+0.625=1.375.

5. What is the mode of the data set: 2, 3, 3, 4, 4, 4, 5?

Correct answer: C

Rationale: The mode of a data set is the value that appears most frequently. In this data set (2, 3, 3, 4, 4, 4, 5), the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the correct answer is 4. Choice A (2), B (3), and D (5) do not appear as frequently as 4 in the data set, so they are not the mode.

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