TEAS Test Practice Math

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: C

Rationale: To calculate the total cost of fencing, we need to find the perimeter of the hexagonal field. Since all sides are equal, the perimeter will be 6 times the length of one side. Perimeter = 6 x 320 feet = 1920 feet. Cost of fencing = Perimeter x Cost per foot = 1920 feet x $75 = $144,000. Therefore, the correct answer is C: $3,360. Explanation for other choices: A: $2,240 - Incorrect because it does not account for the entire perimeter. B: $2,800 - Incorrect, as it underestimates the total cost. D: $4,480 - Incorrect, as it overestimates the total cost.

Correct Answer: B

Rationale: To determine the total liquid in the pot, we add the volume of chicken broth (4 containers x 410ml) to the volume of water (1 liter = 1000ml). Total liquid = (4 x 410) + 1000 = 1640 + 1000 = 2640ml = 2.64 liters. Therefore, the correct answer is B. Choice A is incorrect as it miscalculates the total liquid. Choice C and D are significantly higher than the correct answer, indicating an error in calculation.

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: B

Rationale: To find the least number of computers to be shipped and sold for the amount received to be equal to shipping cost, we set the selling amount equal to the shipping cost: 400x = 3000 + 100x Solving for x, we get x = 15. Therefore, the correct answer is B. Choice A (10) is too low as it results in less revenue than the shipping cost. Choices C (20) and D (25) are higher than the minimum required number of 15 computers, resulting in more revenue than needed.