TEAS Exam Math Practice

Correct Answer: D

Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we evaluate the parentheses: 3 - 4 = -1. Then, we multiply 7 by -1 to get -7. Next, we subtract -7 from 102 to get 109. Finally, subtract 25 from 109 to get the correct answer of 84 (D). Choices A, B, and C are incorrect because they do not follow the correct order of operations or make calculation errors.

Correct Answer: B

Rationale: To simplify the expression, we follow the order of operations (PEMDAS). First, we calculate the exponents: 52(3) + 3(-2)^2 / 4 + 9 - 2(5-8) = 156 + 3(4) / 4 + 9 - 2(3) = 156 + 12 / 4 + 9 - 6. Then, we perform division and multiplication from left to right: 156 + 3 + 9 - 6 = 168. Therefore, the correct answer is 87/19. Choices A, C, and D are incorrect as they do not correctly simplify the expression following the order of operations.

Correct Answer: D

Rationale: To convert a decimal to a fraction, we count the number of decimal places and put the digits after the decimal over the appropriate power of 10. For 3.28, there are two decimal places, so we write it as 328/100. Simplifying gives us 41/25, which matches choice D. Choices A, B, and C are incorrect as they do not represent the value of 3.28 when converted to a fraction. Option A is equivalent to 3.28 written as 3.28/1, which is not correct. Options B and C do not represent 3.28 accurately either.

Correct Answer: D

Rationale: The correct answer is D: The median is less than the mean. To find the median, first arrange the set in ascending order {5, 11, 18, 20, 37, 37, 60, 72, 90}. The median is the middle value, which is 37 here. To find the mean, add up all numbers and divide by the total count (sum/9). The mean is (60+5+18+20+37+37+11+90+72)/9 = 41.67. Since 37 (median) is less than 41.67 (mean), the statement is true. Other choices are incorrect because A is false as median ≠ mean, B is false since mean > mode, and C is false since mode ≠ median.

Correct Answer: A

Rationale: To find the width of the field, we need to set up the equation for the area of a rectangle: Area = length x width. Given that the area is 1452 square feet, and the length is three times the width, we can write the equation as 1452 = 3x * x. Solving for x (width), x = 18 feet. Therefore, the correct answer is A: 22 feet. Option B, 44 feet, is incorrect as it is double the correct width. Option C, 242 feet, is incorrect as it does not match the calculated width. Option D, 1452 feet, is incorrect as it represents the total area of the field, not the width.