TEAS Test Practice Math

Correct Answer: B

Rationale: To convert decimeters to centimeters, we multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, for a book with a width of 5 decimeters, the width in centimeters would be 5 * 10 = 50 centimeters. This makes choice B, 25 centimeters, the correct answer. Choices A, C, and D are incorrect because they do not correctly apply the conversion factor from decimeters to centimeters. Choice A is too small, choice C is too large, and choice D is also too small due to incorrect decimal placement.

Correct Answer: C

Rationale: To find the percentage of Dr. Lee's patients hospitalized after taking the antibiotic, we multiply the percentage of patients who developed an infection (30%) by the percentage of those hospitalized (5% of 30%): 30% * 5% = 1.5%. Therefore, 1.5% of all patients were hospitalized. The correct answer is C (15%). Summary: A (1.50%): This is incorrect because it miscalculates the percentage of patients hospitalized. B (5%): This is incorrect as it represents the percentage of patients that developed an infection and not those hospitalized. D (30%): This is incorrect as it represents the total percentage of patients developing an infection, not those hospitalized.

Correct Answer: C

Rationale: To calculate the percent decrease in snowfall: 1. Find the difference in snowfall between the two winters: 6 - 3 = 3 inches. 2. Divide the difference by the initial amount: 3 / 6 = 0.5. 3. Multiply the result by 100 to get the percentage decrease: 0.5 * 100 = 50%. Therefore, the correct answer is C (41.00%) as it is the closest rounded percentage to the calculated 50% decrease. Other choices are incorrect as they do not align with the calculated decrease percentage.

Correct Answer: B

Rationale: To find the distance in feet between the two points on the map, multiply the scale factor (60 ft/inch) by the map distance (10 inches). So, 60 ft/inch * 10 inches = 600 ft. Since 1 yard = 3 feet, divide 600 ft by 3 to convert to yards, which equals 200 yards. Therefore, the correct answer is B (600). The incorrect answers: A: 1800 - This is obtained by multiplying 60 ft by 10 inches without converting to yards. C: 200 - This is the result after converting 600 ft directly to yards without considering the scale factor. D: 2 - This answer is likely obtained by converting 10 inches directly to yards without considering the scale factor.

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.