ATI TEAS Math Practice Test

Correct Answer: C

Rationale: The perimeter of a hexagon is 6 times the length of one side. So, for a side length of 320 feet, the perimeter is 6 * 320 = 1920 feet. The cost of fencing is $1.75 per foot, so the total cost will be 1920 * $1.75 = $3360. Choice A is incorrect as it does not consider the correct perimeter calculation. Choice B is incorrect as it underestimates the total cost. Choice D is incorrect as it overestimates the total cost.

Correct Answer: B

Rationale: To find the percentage of total staff certified and available to work, we first calculate the percentage of staff available: 100% - 35% = 65%. Then, we find the percentage of the remaining staff who are certified: 65% x 20% = 13%. Therefore, the correct answer is B (13%). Choice A (7%) is too low, as it only considers the percentage of certified staff. Choice C (65%) is incorrect as it represents the percentage of total staff available, not certified. Choice D (80%) is incorrect as it does not take into account the percentage of staff who are both certified and available.

Correct Answer: B

Rationale: The correct answer is B: The grades students received. The dependent variable is the outcome that is being measured or observed in response to changes in the independent variable. In this research study, the grades students received are dependent on the number of hours spent studying, which is the independent variable. The grades received will vary based on the amount of time spent studying. Choices A, C, and D are incorrect because they are not the outcome or response variable being measured in relation to the independent variable of hours spent studying. A is the independent variable, C is not a variable in this context, and D is not directly related to the outcome being measured.

Correct Answer: C

Rationale: The correct answer is C because a graph representing a proportional relationship has a constant slope that is equal to the rate of change between the variables. In this case, a slope of 2,000 means that for every unit increase in x, there is a corresponding increase of 2,000 in y, indicating a proportional relationship. The y-intercept being 0 is also consistent with a proportional relationship as it implies that when x is 0, y is also 0. A, B, and D are incorrect because their slopes and y-intercepts do not represent a proportional relationship. A slope of 2,500, 1,500, and -1,800 in choices A, B, and D respectively, do not indicate a constant rate of change between x and y, which is crucial for a proportional relationship. The y-intercepts in these choices also do not align with the characteristics of a proportional relationship.

Correct Answer: A

Rationale: To solve for x, first isolate x by subtracting 6 from both sides: 2x + 6 - 6 = 14 - 6. This simplifies to 2x = 8. Then, divide both sides by 2 to solve for x: 2x/2 = 8/2, which gives x = 4. This is the correct answer as it accurately solves the equation. Choice B, x=8, is incorrect as it does not satisfy the equation. Choice C, x=10, and choice D, x=13, are also incorrect as they do not align with the correct solution derived from the steps provided.