how to convert yards to feet and feet to yards

ATI TEAS 7

TEAS Practice Test Math

1. How do you convert yards to feet, and feet to yards?

A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
D. Multiply yards by 4 to get feet; divide feet by 4 to get yards

Correct answer: A

Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.

2. In a research study, a researcher collects data on the number of hours spent studying and the grades students received. Which of the following is the dependent variable?

A. The number of hours spent studying
B. The grades students received
C. The subjects students studied
D. The number of students in the study

Correct answer: B

Rationale: The correct answer is B: 'The grades students received.' In this scenario, the grades students received are the dependent variable because they are influenced by the number of hours spent studying. The grades are the outcome that is being measured based on the manipulation or observation of the independent variable, which in this case is the number of hours spent studying. Choices A, C, and D are incorrect. The number of hours spent studying is the independent variable being manipulated or observed, the subjects students studied is not directly related to the dependent variable, and the number of students in the study is not the variable being measured or influenced by the independent variable.

3. If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.)

A. 123 pounds
B. 110 pounds
C. 156 pounds
D. 137 pounds

Correct answer: A

Rationale: To convert Stella's weight from kilograms to pounds, you multiply her weight in kilograms (56) by the conversion factor (2.2): 56 × 2.2 = 123.2 pounds. Since we need to find the approximate weight in pounds, the closest option is 123 pounds, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the accurate conversion of Stella's weight from kilograms to pounds.

4. A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?

A. 17.2 in³
B. 19.4 in³
C. 21.2 in³
D. 23.4 in³

Correct answer: C

Rationale: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values (r = 1.5 inches, h = 3 inches) into the formula yields V ≈ 21.2 in³. Therefore, the correct answer is C. Choice A, 17.2 in³, is incorrect as it does not correspond to the correct calculation. Choice B, 19.4 in³, is also incorrect and does not match the calculated volume. Choice D, 23.4 in³, is not the correct volume obtained when using the provided dimensions in the formula for the volume of a cylinder.