TEAS Exam Math Practice

Correct Answer: D

Rationale: To solve the equation 8x - 6 = 3x + 24, first, simplify both sides. Subtract 3x from both sides to get 5x - 6 = 24. Then, add 6 to both sides to get 5x = 30. Finally, divide by 5 to find x = 6. This is the correct solution as it satisfies the original equation. Choice A, B, and C are incorrect as they do not result in a true statement when substituted back into the equation.

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: 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 calculate the percentage of questions answered correctly, divide the number of correct answers by the total questions and multiply by 100. In this case: (42/48) x 100 = 87.5%. Therefore, choice D (87.50%) is correct. Choice A (1.14%) is too low. Choice B (82.50%) is close but incorrect. Choice C (85.00%) is also close but not the accurate percentage.

Correct Answer: A

Rationale: To calculate the shop's revenue over three days, we need to consider the total sales of sandwiches, drinks, and cookies over the three days. The revenue formula should include the earnings from each item multiplied by the quantity sold. Therefore, the correct equation is r = 4s + 2d + 1c. This is because for each sandwich sold, the shop earns $4, for each drink $2, and for each cookie $1. Choices B, C, and D are incorrect as they incorrectly multiply the earnings by multiples of the quantities sold, which would result in an inflated revenue amount.