ATI TEAS Math Practice Test - Nurselytic

Correct Answer: C

Rationale: A graph that has a y-intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to or subtracted from the term containing the slope. In this case, choice C is correct as it has a y-intercept of 0, which aligns with the characteristics of a proportional relationship.

Choices A, B, and D have non-zero y-intercepts, indicating a starting value other than 0, which does not represent a proportional relationship.

Correct Answer: D

Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered.
Therefore, the correct choice is D.

Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study.
Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.

Correct Answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) (3/5) · (9/8).
To divide by a fraction, multiply by its reciprocal: (1/4) (3/5) (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15.
Choice A (8/15) is incorrect because the correct answer is 2/15.
Choice B (27/160) is incorrect as it is not the result of the given expression.
Choice D (27/40) is incorrect as it does not match the simplified expression obtained.

Correct Answer: C

Rationale:
To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9.
Therefore, the correct answer is x = -9.
Choice A (x = 5),
Choice B (x = -7), and
Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.

Correct Answer: D

Rationale:
To solve the equation 2x + 4 = x - 6, first, subtract x from both sides to get x + 4 = -6.
Then, subtract 4 from both sides to isolate x, resulting in x = -10.
Therefore, the correct answer is x = -10.
Choice A is incorrect as it does not follow the correct steps of solving the equation.
Choice B is incorrect as it is the result of combining x terms incorrectly.
Choice C is incorrect as it is not the correct result of solving the equation step by step.