TEAS Test Practice Math

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.

Correct Answer: A

Rationale: To find the number of hours for which Courtney and Kendra's charges are equal, we need to set their equations equal to each other. For Courtney: Cost = $12 + $2x, where x is the number of hours. For Kendra: Cost = $10 + $5x. Setting the two equations equal: $12 + $2x = $10 + $5x. Solving for x gives x = 2. This means after 2 hours, both charges are equal. Option A is correct as it correctly represents the situation. Option B has the fee and hourly rates swapped for Courtney and Kendra. Option C has the hourly rates incorrectly applied to the fee. Option D has the fees and hourly rates swapped for Courtney and Kendra.

Correct Answer: B

Rationale: To calculate 80% of 30 questions, multiply 30 by 0.80, which equals 24. Joshua needs to answer at least 24 questions correctly to meet the 80% threshold for the scholarship. Therefore, the correct answer is B. Choice A (23) is incorrect because it falls short of 80% of 30 questions. Choices C (26) and D (27) exceed the minimum requirement, making them unnecessary.

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.