Which of the following is the independent variable in the equation below? A(f) = 92 + 2f

A. f

B. 2

C. A

D. 92

Answer Explanation:

Given the equation A(f)=92+2f

To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.

Therefore, the Correct Answer is A.

Q #1: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 12 1/5 cups

B. 12 3/5 cups

C. 8 1/25 cups

D. 10 3/25 cups

Answer Explanation

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
Q #2: Which of the following is the value of x in the equation below

A. x= -4 or x=2

B. x= -2 or x=3

C. x =-2 or x= 4

D. x= -2 or x= 1

Answer Explanation

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.
Q #3: Which of the following is an appropriate unit of measure to express the length of a chair?

A. Centimeters

B. Kilometers

C. Micrometers

D. Milligrams

Answer Explanation

The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.