TEAS Test Practice Math

Correct Answer: B

Rationale: To solve the equation, we first distribute the 3 to both terms inside the parentheses: 6y + 150 - 4y = 500. Combining like terms, we get 2y + 150 = 500. Next, we isolate the variable by subtracting 150 from both sides, giving us 2y = 350. Finally, we divide by 2 to solve for y, resulting in y = 175. Choice B is correct because it correctly follows the order of operations and simplifies the equation accurately. Choices A, C, and D are incorrect as they do not yield the correct value of y when substituted back into the original equation.

Correct Answer: A

Rationale: To simplify the given expression, combine like terms with the same variables. The expression 5x - 2y + 4x + y simplifies to 9x - y. Combine the x terms (5x + 4x = 9x) and the y terms (-2y + y = -y) to get 9x - y. This is the simplest form of the expression. The other choices are incorrect because they do not correctly combine the like terms or do not simplify the expression to its simplest form. Option B incorrectly subtracts 3y instead of y. Option C incorrectly adds 3y. Option D is not a simplified form of the expression as it lists x and y separately without combining like terms. So, the correct answer is A: 9x - y.

Correct Answer: C

Rationale: Correct Answer: C Rationale: 1. Kyle wants to donate one-fifth of his $950 savings to 8 charities. 2. One-fifth of $950 is $190 ($950 / 5 = $190). 3. If he donates $30 to each charity, $30 x 8 charities = $240. 4. His estimate of donating $240 is more than $190 (one-fifth of $950). 5. Hence, the estimate is not reasonable as $240 exceeds one-fifth of his total savings.

Correct Answer: C

Rationale: To find the total number of clients secured in a given time, we divide the total clients by the clients secured in one period. 24 clients ÷ 3 clients/8 months = 8 periods. To find the total time, we multiply the periods by the time for one period. 8 periods × 8 months = 64 months. Therefore, Robert has secured 24 new clients after 64 months. The other choices are incorrect because they do not align with the correct calculation.

Correct Answer: B

Rationale: To calculate the total height of the stacked bookcases, you add the heights of the two bookcases together. The larger bookcase is 14 inches tall, and the smaller one is 8 inches tall. Adding them gives us 14 + 8 = 22 inches. Therefore, the correct answer is B: 22 inches tall. Choice A: 12 inches tall - Incorrect because it doesn't account for the height of the larger bookcase. Choice C: 35 inches tall - Incorrect because it adds the heights of the two bookcases incorrectly. Choice D: 41 inches tall - Incorrect because it adds the heights of the two bookcases incorrectly.