TEAS Exam Math Practice

Correct Answer: B

Rationale: The correct answer is B: c = p/m. To calculate the cost of gas per mile, we need to divide the price of gas (p) by the car's average mileage (m) in miles per gallon. This gives us the cost of gas per mile. Rationale: 1. The formula for cost per mile is calculated by dividing the price of gas by the car's average mileage. 2. Choice A (c = dp/m) is incorrect because it multiplies the price of gas by distance before dividing by mileage, which is not the correct calculation for cost per mile. 3. Choice C (c = mp/d) is incorrect as it multiplies average mileage by price before dividing by distance, which is not the correct calculation for cost per mile. 4. Choice D (c = m/p) is incorrect as it divides mileage by price, which does not give the cost of gas per mile.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To determine the correct order from least to greatest, convert all fractions to decimals: - (1/7) = 0.142857 - 0.125 - (6/9) = 0.666666 - 0.60 The correct order is 0.125, (1/7), 0.60, (6/9) because 0.125 is the smallest, followed by (1/7), then 0.60, and finally (6/9) which is equivalent to 0.666666. Other choices are incorrect because they do not follow the increasing order of magnitude. Choice A has the fractions in a different order, choice B has 0.60 in the wrong position, and choice D has the fractions in the wrong order. Therefore, choice C is the correct answer.

Correct Answer: D

Rationale: To determine the order from least to greatest, we need to evaluate each expression. First, calculate each expression: 2^-1 = 1/2 -(4/3) = -4/3 (-1)^3 = -1 (2/5) = 2/5 Now, compare the values: -4/3 is the smallest, followed by -1, then 2/5, and finally 1/2. Therefore, the correct order is -(4/3), (-1)^3, (2/5), 2^-1. Option D correctly lists the expressions in this order. Option A is incorrect because it has the wrong order of the expressions. Option B is incorrect as it has a different order compared to the correct one. Option C is incorrect as it also has a different order than the correct one.

Correct Answer: C

Rationale: To find the y-intercept, set x=0 in the equation 7y - 42x + 7 = 0: 7y - 42(0) + 7 = 0 7y + 7 = 0 7y = -7 y = -1 Thus, the y-intercept is (0, -1). Summary: A: Incorrect - The x-coordinate is not 1/6. B: Incorrect - The x-coordinate is not 6. C: Correct - The y-intercept is (0, -1). D: Incorrect - The x-coordinate is not -1.