Practice Math TEAS TEST

Correct Answer: A

Rationale: Step-by-step rationale: 1. Friend 1 eats half, leaving half for the other 3 friends. 2. The remaining half is divided equally among the 3 friends. 3. So, each friend gets 1/3 of the remaining half. 4. 1/3 represents the portion each of the other 3 friends receives, making choice A the correct answer. Summary: - Incorrect choices B, C, and D are not correct as they do not accurately represent the portion each of the other three friends would receive after one friend eats half of the pizza.

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: B

Rationale: The correct answer is B: 1 meter. This is the best estimate for the average width of a doorway because standard doorways typically range from 0.8 to 0.9 meters wide, and rounding up to 1 meter provides a reasonable estimate. Choice A (0.5 meters) is too small for a standard doorway. Choice C (10 meters) is too large and unrealistic for a doorway. Choice D (3 meters) is wider than the typical doorway width, making it an inaccurate estimate. Therefore, B is the most appropriate estimate based on common door sizes.

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: A

Rationale: The correct answer is A: 3x-12. To express 'Twelve less than thrice a number,' we first represent 'a number' as x. Then 'thrice a number' is 3x. Finally, 'Twelve less than thrice a number' translates to 3x-12. Other choices are incorrect because they do not accurately represent the given expression. Choice B (12-3x) reverses the order of operations, choice C (3-12x) incorrectly multiplies instead of subtracting, and choice D (12x-3) mistakenly subtracts the number from 12 instead of subtracting 12 from the number multiplied by 3.