TEAS Test Math Prep

Correct Answer: B

Rationale: The correct answer is B: $212.50. To determine how much he saved, you need to find the difference between the original price and the final price after the discount. The original price is $425 and the final price is $212.50 after a 50% discount. Subtracting $212.50 from $425 gives us the amount saved, which is $212.50. The other choices are incorrect because they do not reflect the actual savings based on the given information. Choice A is half of the original price, choice C is the discount amount, and choice D is the original price discounted by $25, not the actual savings.

Correct Answer: A

Rationale: The correct answer is A: x - y/2. To calculate the student's score, we need to consider the points gained and lost. For each correct answer, the student gains 1 point. For each incorrect answer, the student loses half a point. Since there are no points gained or lost for questions left blank, the expression x - y/2 correctly represents the score. Option B (x - y) does not account for losing half a point for incorrect answers. Option C (30 - (x + y)) does not consider the points gained for correct answers. Option D (30 - x - y/2) inverts the order of subtraction, leading to an incorrect calculation of the score.

Correct Answer: C

Rationale: To find the width, we first calculate the total length of the rectangle by multiplying the length by 2 (since there are 2 lengths in a rectangle). 12 cm x 2 = 24 cm. Subtracting this from the total perimeter of 36 cm gives us 36 cm - 24 cm = 12 cm. Since the width is divided into 2 sides, we divide 12 cm by 2 to get the width of 6 cm. Therefore, the correct answer is C: 6 cm. Choice A (3 cm) is incorrect because it does not account for the total perimeter. Choice B (12 cm) is incorrect as it represents the length, not the width. Choice D (8 cm) is incorrect as it does not align with the calculations based on the given information.

Correct Answer: B

Rationale: To calculate the sum of numbers from 1 to 6, we use the formula for the sum of an arithmetic series: n/2 * (first term + last term). In this case, n=6, first term=1, last term=6. So, 6/2 * (1 + 6) = 3 * 7 = 21. Therefore, the correct answer is B: 21. Explanation for other choices: A (30): Incorrect, as it is not the sum of numbers from 1 to 6. C (15): Incorrect, this is the sum of numbers from 1 to 5, not 1 to 6. D (13): Incorrect, this is the sum of numbers from 1 to 4, not 1 to 6.

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.