TEAS Test Practice Math

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: D

Rationale: To determine when Truck B becomes the better buy, we need to find the breakeven point where the total cost of owning and operating both trucks is the same. First, calculate the total cost for each truck by adding the initial cost to the cost of gasoline for the miles driven. For Truck A: $450 + ($4/mile * x miles), and for Truck B: $650 + ($4/mile * x miles). Set these two equations equal to each other and solve for x to find the breakeven point. By solving the equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. The correct answer is D. Summary: A: 500 - Incorrect, too low of a mileage for Truck B to be the better buy. B: 7500 - Incorrect, too high of a mileage for Truck B to be the better buy. C: 1750 - Incorrect, not the correct mileage for Truck B to

Correct Answer: B

Rationale: The correct answer is B (100 students passed the exam). Since all students who took the exam passed, if the class has 200 students, then all 200 students must have taken the exam, and all of them passed. Therefore, the total number of students who passed the exam is equal to the total number of students who took the exam, which is 200. So, the correct answer is 200 students passed the exam. Choices A, C, and D are incorrect because they do not reflect the fact that all students who took the exam passed.

Correct Answer: A

Rationale: To find average speed, we use the formula: Total Distance / Total Time. For the morning trip: 45 miles / 1.17 hours = 38.46 mph. For the evening trip: 45 miles / 1.5 hours = 30 mph. Total distance = 45 miles + 45 miles = 90 miles. Total time = 1.17 hours + 1.5 hours = 2.67 hours. Average speed = 90 miles / 2.67 hours = 33.71 mph, which rounds to 30 mph (Choice A). Other choices are incorrect because they do not match the calculated average speed for the round trip.

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.