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 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: 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.

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: D

Rationale: To determine when Truck B becomes the better buy, we need to find the breakeven point where the total cost of owning and operating both trucks is the same. First, calculate the total cost for each truck by adding the initial cost to the cost of gasoline for the miles driven. For Truck A: $450 + ($4/mile * x miles), and for Truck B: $650 + ($4/mile * x miles). Set these two equations equal to each other and solve for x to find the breakeven point. By solving the equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. The correct answer is D. Summary: A: 500 - Incorrect, too low of a mileage for Truck B to be the better buy. B: 7500 - Incorrect, too high of a mileage for Truck B to be the better buy. C: 1750 - Incorrect, not the correct mileage for Truck B to