Practice Math TEAS TEST

Correct Answer: C

Rationale: The independent variable is the variable that is manipulated or changed in an equation. In the equation f(t)=4t+9, 't' is the independent variable because it represents the input value that we can freely choose or vary. We can substitute different values for 't' to see how it affects the output 'f(t)'. On the other hand, 'f' is the dependent variable as it depends on the value of 't'. The constant term '9' and the coefficient '4' are not variables, so they cannot be independent variables. Therefore, choice C (t) is the correct answer. Choices A, B, and D are incorrect because they do not represent the independent variable in the given equation.

Correct Answer: C

Rationale: To determine the force needed to stretch the coil by 0.1 meters, we use the formula F = kx, where F is the force, k is the constant of proportionality, and x is the stretch distance. First, calculate k by dividing the given force by the stretch distance: k = 132 N / 0.07 m = 1885.7 N/m. Then, plug in the values: F = 1885.7 N/m * 0.1 m = 188.6 N. Therefore, the correct answer is C (188.6 Newtons). Choice A (92.4 N) is incorrect because it does not consider the direct proportionality between force and stretch. Choice B (1885.7 N) incorrectly assumes the force remains constant regardless of the stretch distance. Choice D (136.0 N) is not rounded to the nearest tenth as requested.

Correct Answer: B

Rationale: The independent variable is the one that is manipulated or changed by the researcher in an experiment. In this scenario, the number of credit hours a student takes is the variable that is being controlled or changed to observe its effect on other variables such as tuition, access fees, and student loans. The amount of credit hours is not dependent on any other variable in this context, making it the independent variable. In contrast, the amount of tuition, access fees, and student loans are dependent on the number of credit hours taken by the student, making them dependent variables. Therefore, the correct answer is B: Number of credit hours. Choices A, C, and D are incorrect as they are all dependent variables that are influenced by the number of credit hours taken by the student.

Correct Answer: C

Rationale: The data set has two distinct peaks at values 2 and 8, making it bimodal. This is evident as there are two modes in the data set. The frequencies of 2 and 8 are higher compared to the other values, creating the bimodal distribution. Choices A, B, and D are incorrect. A uniform distribution would have equal frequencies for all values, which is not the case here. Right-skewed distribution would have a long tail on the right side, which is also not observed. Left-skewed distribution would have a long tail on the left side, which is not the case here.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.