TEAS Exam Math Practice - Nurselytic

Correct Answer: B

Rationale:
To find the amount earned in 2 months, set up a proportion using two ratios relating amount earned to months: (15,036/7) = (x /2). Cross-multiply and solve for x: 7x = 30,072, x = 4,296.
Therefore, the worker earned $4,296 in 2 months.
Choice A, $2,148, is incorrect as it is half of the correct answer.

Choices C and D, $6,444 and $8,592, are incorrect as they do not correspond to the calculated proportion.

Correct Answer: B

Rationale:
To simplify the expression, apply the order of operations (PEMDAS). Begin by squaring -2 to get 4.
Then perform the multiplication and subtraction within parentheses: 52(3) + 3(4)/4 + 9 - 2(5 - 8) = 156 + 12/4 + 9 - 2(3) = 156 + 3 + 9 - 6 = 168 + 3 - 6 = 171 - 6 = 165.
Therefore, the correct simplified expression is 165, which is equivalent to 87/19.

Choices A, C, and D are incorrect because they do not represent the accurate simplification of the given expression.

Correct Answer: C

Rationale:
To solve the given proportion 5(4x - 5) = (3/2)(2x - 6), first distribute to get 20x - 25 = 3x - 9.
Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17.
Choice A is incorrect as it does not match the calculated value of x.
Choice B is incorrect as it does not correspond to the correct solution for x.
Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

Correct Answer: D

Rationale:
To find the percentage of questions answered correctly, divide the number of correct questions by the total number of questions: 42/48 = 0.875. Multiply the result by 100 to express it as a percentage, which gives 87.5%.
Therefore, the correct answer is 87.50%.
Choice A (1.14%) is incorrect as it does not reflect the correct percentage.

Choices B (82.50%) and C (85.00%) are also incorrect as they do not align with the calculation based on the given information.

Correct Answer: B

Rationale:
To convert 8 pounds and 8 ounces to kilograms, first convert 8 ounces to pounds by dividing by 16 (since 1 pound = 16 ounces): 8 ounces / 16 = 0.5 pounds.
Then add this to the original 8 pounds: 8 pounds + 0.5 pounds = 8.5 pounds.
To convert pounds to kilograms, use the conversion factor 1 pound = 0.453592 kilograms.
Therefore, 8.5 pounds 0.453592 kg = 3.855 kilograms, which rounds to 3.9 kilograms.
Choice A (3.6 kilograms),
Choice C (17.6 kilograms), and
Choice D (18.7 kilograms) are incorrect conversions or have errors in calculation compared to the correct conversion of 3.9 kilograms.