TEAS Test Practice Math

Correct Answer: B

Rationale: To find the square root of 1296, we look for a number that, when multiplied by itself, equals 1296. The square root of 1296 is 36 because 36 * 36 = 1296. Choice A (24) is incorrect since 24 * 24 is not equal to 1296. Choice C (31) and Choice D (12) are also incorrect as neither of them results in the square of 1296 when multiplied by themselves. Therefore, the correct answer is B (36).

Correct Answer: D

Rationale: To calculate the percentage difference, we need to find the percentage increase from City X to City Y. Let's assume City X has 100 staff members, with 40 females, making 40% female. In City Y, there are 120 staff members, with 60 females, making 50% female. The percentage difference is (50% - 40%) / 40% = 0.25 or 25%. Therefore, there are 25% more female staff in City Y compared to City X, which is equivalent to 20% of the female staff in City X. So, the correct answer is D (20%). Choice A (5%), B (10%), and C (15%) are incorrect as they do not accurately reflect the 20% increase in female staff members between the two cities.

Correct Answer: C

Rationale: To find the total number of clients secured in a given time, we divide the total clients by the clients secured in one period. 24 clients ÷ 3 clients/8 months = 8 periods. To find the total time, we multiply the periods by the time for one period. 8 periods × 8 months = 64 months. Therefore, Robert has secured 24 new clients after 64 months. The other choices are incorrect because they do not align with the correct calculation.

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 simplify the given expression, combine like terms with the same variables. The expression 5x - 2y + 4x + y simplifies to 9x - y. Combine the x terms (5x + 4x = 9x) and the y terms (-2y + y = -y) to get 9x - y. This is the simplest form of the expression. The other choices are incorrect because they do not correctly combine the like terms or do not simplify the expression to its simplest form. Option B incorrectly subtracts 3y instead of y. Option C incorrectly adds 3y. Option D is not a simplified form of the expression as it lists x and y separately without combining like terms. So, the correct answer is A: 9x - y.