TEAS Test Math Prep

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: 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: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: C

Rationale: To solve this, let's substitute x = 2 into the given equation. Starting with the equation: Now, we substitute x = 2: Therefore, . Thus, the correct answer is C: 3. Explanation for other choices: A: If x = 2, then is not equal to 1. B: If x = 2, then is not equal to 2. D: If x = 2, then is not equal to 4.

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.