ATI TEAS Math Practice Test

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: 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 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: C

Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 to get 8x - 24 = 10x - 6. Next, rearrange the terms to isolate x. Subtract 8x from both sides to get -24 = 2x - 6. Add 6 to both sides to get -18 = 2x. Finally, divide by 2 to solve for x, giving x = -9. Choice A is incorrect because x is not equal to 5, choice B is incorrect because x is not equal to -7, and choice D is incorrect because x is not equal to 10.

Correct Answer: B

Rationale: To find the percentage of churchgoers attending Catholic Churches in Ellsford: 1. Calculate percentage attending Catholic Churches: (400/1450) * 100 ≈ 27.59% 2. Round to the nearest whole number: 28% Therefore, the correct answer is B (28%). Other choices are incorrect as they do not match the calculated percentage. A is lower, C and D are higher.