TEAS Test Practice Math

Correct Answer: A

Rationale: To find the actual distance in miles, multiply the map distance by the scale factor. 3.2 inches * 45 miles/inch = 144 miles. Choice A is correct because it correctly applies the scale factor. Choices B, C, and D are incorrect because they do not properly calculate the actual distance using the scale provided on the map.

Correct Answer: C

Rationale: To find the dimensions of the dilated triangle, we multiply each side length by the scale factor x. Given the original triangle has sides 9 cm, 4 cm, and 7 cm, the scale factor x is the ratio of the corresponding sides of the original and dilated triangles. Calculating the ratios for each side: 9/x = 6.75, 4/x = 3, 7/x = 5.25. Solving for x, we get x = 1.33. Multiplying each side by the scale factor gives the dimensions of the dilated triangle as 6.75 cm, 3 cm, and 5.25 cm, which matches option C. Option A, B, and D have incorrect dimensions as they do not match the correct calculations.

Correct Answer: A

Rationale: To determine how much money he puts into his house savings account each month, we subtract the rent from his total monthly budget. Since he pays $270 for rent, subtracting this from his total monthly budget gives $270. Therefore, he puts $90 into his house savings account each month. Option A is correct. Option B is incorrect as it represents the total rent amount. Options C and D are significantly higher than the rent amount, making them incorrect.

Correct Answer: A

Rationale: The mean is the sum of all values divided by the number of values, while the median is the middle value when data is ordered. In a skewed distribution, the mean is pulled towards the tail, making it less than the median. Therefore, statement A is true. Explanation: A: The mean is less than the median - True, as explained above. B: The mode is greater than the median - Not necessarily true. Mode can be less than or equal to the median. C: The mode is less than the mean, median, and range - Not always true. Mode can be greater than the mean or median. D: The mode is equal to the range - Incorrect, mode and range are unrelated statistical measures.

Correct Answer: C

Rationale: The correct answer is C: $36. The question states that each roommate contributes $12. Therefore, to find the total amount, we multiply $12 by the number of roommates (3 roommates x $12 = $36). This calculation gives us the estimated total amount of money the roommates used to purchase the gift. Choice A: $34 is incorrect because it does not account for all three roommates contributing $12 each. Choice B: $35 is incorrect as it also does not consider all three roommates contributing $12 each. Choice D: $37 is incorrect because it exceeds the total amount that can be obtained by multiplying $12 by 3.