ATI TEAS Math Practice Test

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: D

Rationale: To arrange the numbers from least to greatest, we convert them to decimals or find a common denominator. Converting to decimals, we get: 7/3 = 2.33, 9/2 = 4.5, 10/9 = 1.11, 7/8 = 0.875. Therefore, the correct order is 7/8 < 10/9 < 7/3 < 9/2. Choice D is correct as it follows this order. Choices A, B, and C are incorrect as they do not reflect the correct ascending sequence.

Correct Answer: D

Rationale: To determine the number of questions Joshua must answer correctly, we can use the inequality 4x > 92, where x represents the number of questions answered correctly. This is because each correct answer earns 4 points, and Joshua needs more than 92 points to qualify for the scholarship. To solve for x, we divide both sides by 4, giving us x > 23. So, Joshua must answer more than 23 questions correctly to qualify. Choices A, B, and C are incorrect because: A (4x < 30): This inequality suggests Joshua needs to answer less than 30 questions in total, which is not relevant to the scholarship qualification. B (4x < 92): This inequality implies Joshua needs less than 92 points, which contradicts the requirement of earning more than 92 points. C (4x > 30): This inequality indicates Joshua needs to answer more than 30 questions in total, but it does not consider the points required for

Correct Answer: D

Rationale: To solve the equation 2x + 4 = x - 6, we need to isolate x. Subtract x from both sides to get x + 4 = -6. Then, subtract 4 from both sides to get x = -10. The correct answer is D, x = -10. Choice A is incorrect because x is not -12. Choice B is incorrect as x is not 10. Choice C is incorrect as x is not -16.