Practice Math TEAS TEST

Correct Answer: A

Rationale: The correct answer is A: Itself. Any number raised to the power of 1 remains the same number. This is because any number to the power of 1 is equivalent to multiplying that number by 1, which does not change the value of the number. Therefore, when a number is raised to the power of 1, the result is the number itself. Summary of incorrect choices: B: One - Raising any number to the power of 1 does not always result in 1, it results in the original number itself. C: Zero - Raising any non-zero number to the power of 1 does not result in 0. D: The number multiplied by 2 - Raising a number to the power of 1 does not double the number, it remains the same.

Correct Answer: B

Rationale: The correct answer is B: Stocks. In this scenario, stocks are the independent variable because they are being manipulated or controlled to observe the effect on other variables like production, sales, and investments. Increasing stocks is the action taken, which then leads to the changes in production, sales, and investments. On the other hand, choices A, C, and D are dependent variables as they are influenced by the changes in stocks. Sales, production, and investments are all outcomes or results of the changes in stocks. Therefore, stocks are the independent variable in this situation.

Correct Answer: A

Rationale: To solve for x in the equation (x/y) - z = rw, we first isolate x by multiplying both sides by y to get x - yz = rwy. Then, we add yz to both sides to get x = rwy + yz, which simplifies to x = y(rw + z). Therefore, the correct answer is A: x = y(z + rw). Choice B is incorrect as it incorrectly distributes the y term. Choice C is incorrect as it incorrectly combines the terms. Choice D is incorrect as it incorrectly subtracts z instead of adding it.

Correct Answer: B

Rationale: To find the sale price of the sweater marked 15% off, you first calculate the discount amount by multiplying $78 by 15% (0.15), which equals $11.70. Then deduct this discount from the original price: $78 - $11.70 = $66. Therefore, choice B ($66) correctly estimates the sale price. Choice A ($12) is too low and does not consider the 15% discount. Choice C ($22) is also too low and does not account for the correct discount amount. Choice D ($69) is close but does not reflect the correct calculation after the 15% discount.

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.