ATI TEAS Math Practice Test

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.

Correct Answer: A

Rationale: To simplify the expression, we first multiply: (3)(-4) = -12, (3)(4) = 12. Substitute these values back into the expression: -12 + 12 - 1 = -1. Therefore, the correct answer is A (-1). Choices B, C, and D are incorrect as they do not match the calculated result of -1.

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: To find the total amount contributed, add the amounts given by each roommate: $12.03 + $11.96 + $12.06 = $36.05. Since we are estimating, we can round the total to $36. Therefore, the correct answer is C: $36. Choice A: $34 is incorrect because the total amount is more than $34. Choice B: $35 is incorrect because the total amount is more than $35. Choice D: $37 is incorrect because the total amount is less than $37.

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.