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: D

Rationale: To find the correct answer, we first calculate how much of the burger was left after one friend ate a quarter (3/4 left). Then, the other two friends divide this among themselves equally, so each receives half of the remaining portion (3/4 * 1/2 = 3/8). Therefore, each of the other two friends received 3/8 of the burger, which is represented by choice D (8-Mar). Choices A, B, and C are incorrect because they do not accurately reflect the correct calculation of dividing the remaining portion equally between the two friends.

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: 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.

Correct Answer: A

Rationale: To correctly order the numbers from least to greatest, we start by comparing the negative numbers first. The most negative number is -271.906, followed by -193.823. Then, we move on to the positive numbers, starting with 145.884 and ending with 235.971. Therefore, the correct order is -271.906, -193.823, 145.884, 235.971 (Option A). Choice B is incorrect because it incorrectly places 235.971 before -193.823. Choice C is incorrect as it places 145.884 before -193.823. Choice D is incorrect because it swaps the positions of -193.823 and -271.906.