TEAS Test Practice Math

Correct Answer: C

Rationale: To find the cars with both a man and a woman, we can use the formula: Total = Man + Woman - Both + Neither. Given Man = 20, Woman = 13, Total = 25, and Neither = 0 (since each car has at least one person), we can plug in the values: 25 = 20 + 13 - Both + 0. Solving for Both, we get Both = 8. Therefore, the correct answer is C (8 cars with both a man and a woman). Summary: A: Incorrect. There are more cars with a man. B: Incorrect. This number is too high considering the given information. D: Incorrect. This is the total number of cars, not the number with both a man and a woman.

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: 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: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given that the radius is 3 inches, we substitute r = 3 into the formula: C = 2π(3) = 6π ≈ 18.85 inches. The best estimate among the choices is C: 18 inches, as it is closest to the actual calculated value of 18.85 inches. Choice A (12 inches) and B (16 inches) are too small, while choice D (24 inches) is too large compared to the calculated circumference.

Correct Answer: C

Rationale: To calculate the total cost of fencing, we need to find the perimeter of the hexagonal field. Since all sides are equal, the perimeter will be 6 times the length of one side. Perimeter = 6 x 320 feet = 1920 feet. Cost of fencing = Perimeter x Cost per foot = 1920 feet x $75 = $144,000. Therefore, the correct answer is C: $3,360. Explanation for other choices: A: $2,240 - Incorrect because it does not account for the entire perimeter. B: $2,800 - Incorrect, as it underestimates the total cost. D: $4,480 - Incorrect, as it overestimates the total cost.