add 78 and 58 and express in reduced form
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ATI TEAS 7

TEAS Math Practice Test

1. What is the result of adding 7/8 and 5/8 and expressing the sum in reduced form?

Correct answer: C

Rationale: To add 7/8 and 5/8, we combine the numerators while keeping the denominator the same: 7/8 + 5/8 = (7+5)/8 = 12/8. To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 4. This yields 12/8 = 3/2. Therefore, the reduced form of 7/8 + 5/8 is 3/2, which is also equivalent to 1.5 as a mixed number. However, the question specifically asks for the answer in reduced form, making choice C, 3/2 or 31/36 after further simplification, the correct answer. Choices A, B, and D are incorrect because they do not represent the correct result of adding 7/8 and 5/8 in reduced form.

2. Simplify the following expression:

Correct answer: A

Rationale: To simplify the given expression, start by performing the division first: (2/3) ÷ (4/15) = (2/3) × (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 × 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.

3. Which measure for the center of a small sample set would be most affected by outliers?

Correct answer: A

Rationale: The mean is calculated by summing all values in a dataset and then dividing by the total number of values. Outliers, which are data points significantly different from the other values, can greatly impact the mean because they affect the sum. The mean is sensitive to extreme values, making it the measure for the center of a small sample set most affected by outliers. The median, on the other hand, is not influenced by outliers as it represents the middle value when the data points are ordered. The mode is the value that appears most frequently in the dataset and is not directly influenced by outliers. Therefore, the correct answer is the mean, as it is highly influenced by outliers in a small sample set.

4. Solve the equation for the unknown. 3x + 2 = 20

Correct answer: C

Rationale: Simplify the equation step by step: Subtract 2 from both sides: 3x + 2 - 2 = 20 - 2 3x = 18 Divide both sides by 3: x = 18 ÷ 3 x = 6 Therefore, the correct answer is C (x = 6).

5. How many centimeters in an inch? How many inches in a centimeter?

Correct answer: A

Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.

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