TEAS Test Practice Math

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: The correct answer is B: $86,666.67. To calculate this, divide the total operating expenses ($130,000) by 3, as a general guideline is that one-third of operating expenses typically go towards employee wages and benefits. $130,000 / 3 = $43,333.33. However, this only represents the wages portion, and benefits are typically an additional 50% of wages, making the total amount spent on wages and benefits $43,333.33 + ($43,333.33 * 0.5) = $86,666.67. Choice A: $43,333.33 - This only represents the wages portion and does not include benefits. Choice C: $52,000.00 - This amount does not account for benefits and is not calculated correctly. Choice D: $78,000.00 - This amount is only the wages portion and does not include benefits.

Correct Answer: C

Rationale: To determine the number of prizes for fifth-grade students, we need to allocate the prizes proportionally based on the number of students in each grade. 1. Calculate the total number of students in the school: 35 (Grade 1) + 38 (Grade 2) + 38 (Grade 3) + 33 (Grade 4) + 36 (Grade 5) = 180 students. 2. Calculate the proportion of students in fifth grade: 36 (Grade 5 students) / 180 (total students) = 0.2 or 20%. 3. Apply this proportion to the total number of prizes (20 prizes): 20 (total prizes) * 0.2 = 4 prizes for fifth-grade students. Therefore, the correct answer is B: 4 prizes for fifth-grade students. Other choices are incorrect because they do not accurately reflect the proportional allocation based on the number of students in each grade.

Correct Answer: B

Rationale: Veronica's total expenses for the surround sound system and maintenance package are $3,015 + $5,218 = $8,233. To find the total price of her new car, we need to add this amount to the original price of the car. Since the correct answer is $48,443, the calculation would be $48,443 (total price) - $8,233 (additional expenses) = $40,210 (original price of the car). Therefore, option B is correct. Option A is higher because it doesn't subtract the additional expenses. Option C and D are lower because they don't account for the additional expenses at all.

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.