TEAS Practice Test Math

Correct Answer: C

Rationale: The correct answer is C: Dependent. In this study, the weight of the babies is the variable being measured and studied in relation to different time intervals after birth. The weight of the babies depends on the time intervals, making it the dependent variable. Other choices are incorrect because: A: Independent variable is the variable that is manipulated or controlled by the researcher, in this case, time intervals are the independent variable. B: Control variable is a variable that is kept constant to prevent it from influencing the results, weight is not a control variable. D: Constant is not applicable in this context as weight is not a constant value in the study, it varies with time intervals.

Correct Answer: A

Rationale: To find the expression for the length of the rectangle in terms of x, we first note that the length is six less than two times the width. Therefore, the expression for the length would be 2x - 6. This is because the length is equal to 2 times the width (2x) minus 6. Therefore, option A (2x - 6) is the correct answer. Option B (6-2x) is incorrect because it represents the width minus 2 times the width, which is not the correct relationship. Option C (6x-2) is incorrect because it represents 6 times the width minus 2, which is not the correct relationship. Option D (3x-4) is incorrect because it represents 3 times the width minus 4, which does not match the given relationship between the length and the width.

Correct Answer: A

Rationale: The correct answer is A because the least common multiple (LCM) is the smallest number that both numbers can be multiplied into and still be divisible by both original numbers without leaving a remainder. Simply put, it is the smallest common multiple of the two numbers. The least common factor, on the other hand, is not a standard mathematical term. Choices B, C, and D are incorrect because they inaccurately describe the concept of least common multiple and least common factor. B describes the largest number rather than the smallest, C confuses division and multiplication, and D incorrectly defines both the least common multiple and least common factor.

Correct Answer: A

Rationale: The correct answer is A: 0.75 hectares. To calculate the area of the soccer field in square meters, you multiply the length by the width (100m x 75m = 7500 square meters). To convert this to hectares, you divide by 10,000 (7500 ÷ 10,000 = 0.75 hectares). Choice B (7.5 hectares) is incorrect because it is 10 times the correct answer. Choice C (7,500 hectares) is incorrect because it is 1,000 times the correct answer. Choice D (75,000,000 hectares) is incorrect because it is 100,000 times the correct answer.

Correct Answer: A

Rationale: To solve the equation 3(x-2) = 12 for x: 1. Distribute the 3 to both terms inside the parentheses: 3x - 6 = 12 2. Add 6 to both sides: 3x = 18 3. Divide by 3: x = 6 Choice A (6) is correct. Choice B (-2) results in x = 4, not 6. Choice C (-4) results in x = 2, not 6. Choice D (2) results in x = 8, not 6.