TEAS Math Questions

Correct Answer: B

Rationale: To solve the expression, follow the order of operations (PEMDAS). First, multiply 2 by 8 to get 16. Then, add -3 and 16 to get 13. Finally, add 3 to 13 to get 16. Therefore, the correct answer is 13. Choice A (11) is incorrect because it does not account for the correct order of operations. Choice C (28) is incorrect as it only considers the addition of -3 and 3. Choice D (80) is incorrect as it wrongly multiplies 2 by 8 before adding -3.

Correct Answer: A

Rationale: Step 1: Given that y is three times x, the equation should reflect this relationship. Step 2: The equation y = 3x correctly models this relationship, where y is equal to three times x. Step 3: Option A (y = 3x) is the correct choice as it directly represents y as three times x. Summary: Choices B, C, and D do not correctly model the relationship between x and y as specified. Choice B (x = 3y) is the inverse relationship, Choice C (y = x + 3) adds 3 to x instead of representing y as three times x, and Choice D (y = x / 3) represents y as x divided by 3, not three times x.

Correct Answer: B

Rationale: Step 1: Calculate the number of boys in the class. 60% of 30 students = 0.6 * 30 = 18 boys. Step 2: Calculate the number of girls in the class. Since there are 30 students in total, and 18 are boys, there must be 30 - 18 = 12 girls. Therefore, the correct answer is B: 12 girls. Other choices are incorrect because they do not align with the given percentages and total number of students.

Correct Answer: B

Rationale: To find the percentage of trips that are the longest route, divide the number of longest route trips (3) by the total number of trips (9) and multiply by 100. So, (3/9) * 100 = 33.33% ≈ 33% which corresponds to choice B. Option A (0.25) is incorrect as it represents 25%, not 33%. Option C (0.5) represents 50%, which is incorrect as well. Option D (0.75) represents 75%, which is also incorrect.

Correct Answer: C

Rationale: To determine which group is the smallest, we need to compare the fractions representing the proportion of patients in each group. Group Alpha has 1/2, Group Beta has 1/3, and Group Gamma has 1/6 of the total patients. To find the smallest group, we look for the smallest fraction. Among the choices, 1/6 in Group Gamma is the smallest fraction, hence Group Gamma is the smallest group. Incorrect choices: A: Group Alpha - 1/2 is larger than 1/3 and 1/6, making it larger than Group Beta and Group Gamma. B: Group Beta - 1/3 is larger than 1/6 but smaller than 1/2, making it larger than Group Gamma. D: Group Delta - This is not a valid choice in the question, so it is incorrect.