Understanding Functions and Solving Equations

The video tutorial explains the relationship between input and output in a function, using variables A and B. It guides viewers through the process of isolating variable A in the equation 4A + 7B = -52, ultimately expressing A in terms of B. The tutorial emphasizes understanding the input-output relationship and solving equations step-by-step.

What is the term used for the value you input into a function?

• Input

• Equation

• Variable

• Output

In the context of functions, what do you call the value that you get out?

• Constant

• Output

• Input

• Variable

Which two variables are discussed in the video?

• A and B

• P and Q

• M and N

• X and Y

What is the formula we need to write in terms of B?

• f(Y)

• f(A)

• f(X)

• f(B)

If B is the input, what is the output according to the video?

• Y

• X

• A

• B

What is the first step in isolating variable A in the equation 4a + 7B = -52?

• Add 7B to both sides

• Subtract 7B from both sides

• Multiply both sides by 4

• Divide both sides by 4

After moving 7B to the other side, what is the resulting equation?

• 4a = 52 - 7B

• 4a = -52

• 4a = 7B - 52

• 4a = -7B - 52

What operation is performed to isolate A after moving 7B?

• Division

• Addition

• Multiplication

• Subtraction

What is the value of 52 divided by 4?

• 15

• 13

• 12

• 14

What is the final expression for A in terms of B?

• A = -7/4B - 13

• A = 7/4B + 13

• A = -7/4B + 13

• A = 7/4B - 13