TEAS Exam Math Practice - Nurselytic

Correct Answer: B

Rationale:
To solve the equation x · 7 = x − 36, start by multiplying both sides by 7 to get 7(x · 7) = 7(x − 36), which simplifies to x = 7x − 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42.
Therefore, the correct answer is x = 42.
Choice A (x = 6),
Choice C (x = 4), and
Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.

Correct Answer: C

Rationale:
To solve the equation 3x + 4 = 19, first, subtract 4 from both sides to isolate the term with x, which gives 3x = 15.
Then, divide both sides by 3 to solve for x, resulting in x = 5.
Therefore, the correct answer is x = 5.
Choice A, x = 3, is incorrect as it does not satisfy the equation.
Choice B, x = 4, is also incorrect as it does not make the equation true.
Choice D, x = 6, is incorrect as it does not align with the correct solution obtained through the proper algebraic steps.

Correct Answer: B

Rationale:
To find the amount of paint needed for the four walls of the shed, calculate the total area of the four walls. The shed has two pairs of identical walls. The area of one pair of walls is 5 feet (width) x 7 feet (height) + 4 feet (depth) x 7 feet (height) = 35 ft² + 28 ft² = 63 ft². Since there are two pairs of walls, the total area for the four walls is 2 x 63 ft² = 126 ft².
Therefore, Adam will need 126 ft² of paint for the four walls.
Choice A, 80 ft², is incorrect as it does not account for the total surface area of all four walls.
Choice C, 140 ft², is incorrect as it overestimates the area required.
Choice D, 560 ft², is incorrect as it significantly overestimates the amount of paint needed for the shed.

Correct Answer: B

Rationale:
To identify the negative value, simplify each expression.
A) simplifies to 6 which is positive.
B) simplifies to 0 which is neither positive nor negative.
C) simplifies to -11 which is negative.
D) simplifies to -30 which is negative.
Therefore, only choice B results in a non-negative value, making it the correct answer.

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.