TEAS 7 Math Practice Test

Correct Answer: B

Rationale: To determine the order of groups from smallest to largest, we need to compare the fractions given for each group. Given that 4/15 < 2/5 < 1/3: 1. Group Alpha (4/15) < Group Beta (2/5) < Group Gamma (1/3) Thus, the correct order is Group Alpha, Group Gamma, Group Beta (B). The rationale is based on comparing the fractions numerically to determine the relative sizes of the groups. The other choices are incorrect because they do not follow the order of fractions provided in the question, leading to incorrect group size comparisons.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To calculate the number of tanks Robert needs, we divide the total distance by the car's mileage per tank: 1800 miles / 30 miles per gallon = 60 gallons needed. Since his tank holds 12 gallons, we divide the total gallons needed by the gallons per tank: 60 gallons / 12 gallons per tank = 5 tanks. Therefore, the correct answer is B: 5 tanks. Choice A (3 tanks) is incorrect because it doesn't consider the total distance. Choices C (30 tanks) and D (60 tanks) are incorrect as they grossly overestimate the number of tanks needed.

Correct Answer: B

Rationale: To determine the order of groups from smallest to largest, we need to compare the fractions given for each group. Given that 4/15 < 2/5 < 1/3: 1. Group Alpha (4/15) < Group Beta (2/5) < Group Gamma (1/3) Thus, the correct order is Group Alpha, Group Gamma, Group Beta (B). The rationale is based on comparing the fractions numerically to determine the relative sizes of the groups. The other choices are incorrect because they do not follow the order of fractions provided in the question, leading to incorrect group size comparisons.

Correct Answer: D

Rationale: The product of two even integers and one odd integer will always be an even integer. This is because multiplying any number of even integers together results in an even number, and multiplying any number of odd integers together also results in an odd number. Therefore, the product could not be 3.75 (odd), 9 (odd), or 16.2 (even non-integer). The only possible option is 24, as it is an even integer and can be obtained by multiplying two even integers and one odd integer together.