TEAS Test Math Prep

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.

Correct Answer: B

Rationale: To find the overall median, we first arrange the scores in ascending order: 78, 83, 92, 97. The median is the middle value, which is 92 in this case. Therefore, the correct answer is B. Choice A is incorrect as it is not a score in the list. Choice C is incorrect as it is the median of the list, not the overall median. Choice D is incorrect as it is the average of all scores, not the median.

Correct Answer: B

Rationale: To round 2678 to the nearest thousandth, we look at the digit in the thousandth place, which is 6. Since the next digit is 7, we round 6 up to 7. The thousandth place is used to decide whether to round up or down in this case. Choices A, C, and D are incorrect as they refer to other place values that are not relevant when rounding to the nearest thousandth.

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: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.