Practice Math TEAS TEST

Correct Answer: A

Rationale: The correct answer is A: 2W + 2(W + 3). To find the perimeter of a rectangle, you add up all its sides. Given that the length is 3 units greater than the width, the length is represented as W + 3. So, the expression for the perimeter is 2W (for the width) + 2(W + 3) (for the length). This simplifies to 2W + 2W + 6, which further simplifies to 4W + 6, representing the correct perimeter expression. Summary: B: W + W + 3 is incorrect as it only adds the width twice and does not account for the length. C: W(W + 3) is incorrect as it represents the area of the rectangle, not the perimeter. D: 2W + 2(3W) is incorrect as it incorrectly combines the width and length terms in the expression.

Correct Answer: C

Rationale: To determine the force needed to stretch the coil by 0.1 meters, we use the formula F = kx, where F is the force, k is the constant of proportionality, and x is the stretch distance. First, calculate k by dividing the given force by the stretch distance: k = 132 N / 0.07 m = 1885.7 N/m. Then, plug in the values: F = 1885.7 N/m * 0.1 m = 188.6 N. Therefore, the correct answer is C (188.6 Newtons). Choice A (92.4 N) is incorrect because it does not consider the direct proportionality between force and stretch. Choice B (1885.7 N) incorrectly assumes the force remains constant regardless of the stretch distance. Choice D (136.0 N) is not rounded to the nearest tenth as requested.

Correct Answer: C

Rationale: The correct answer is C: 5 in the second decimal place. In the number 0.08573, the digit 5 is in the second decimal place after the decimal point. The first decimal place is occupied by 0, the second by 8, the third by 5, the fourth by 7, and the fifth by 3. Therefore, the correct positioning of decimal places in this number is as follows: 0.0 8 5 7 3. Choices A, B, and D are incorrect because they do not accurately represent the positioning of decimal places in the given number.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the length of the unknown leg, we can use the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse of a right triangle. Given a = 9 feet and c = 19 feet, we can solve for b: 9^2 + b^2 = 19^2 81 + b^2 = 361 b^2 = 280 b ≈ √280 ≈ 16.7 feet Therefore, the correct answer is A (16.7 feet). Choice B (16.0 feet) is incorrect as it does not account for rounding to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value.