Solving Linear Equations and Functions

The video tutorial explains how to solve two problems involving the function f(x) = 3x + 2. The first problem requires finding f(-5) by substituting -5 for x, resulting in f(-5) = -13. The second problem involves finding the value of x when f(x) = 9. By substituting 9 for f(x) and solving the equation, x is found to be 7/3.

What is the equation given in the problem?

• f(x) = 2x + 3

• f(x) = 3x + 2

• f(x) = 2x - 3

• f(x) = x^2 + 2

What value should replace x to find f(-5)?

• 5

• 2

• 0

• -5

What is the result of 3 times -5?

• 15

• -15

• 10

• -10

What is the final value of f(-5)?

• 15

• -15

• 13

• -13

In the second problem, what is given instead of x?

• The variable

• The equation

• The output value

• The input value

What is the output value given in the second problem?

• 9

• 7

• 3

• 2

What is the purpose of substituting f(x) with 9 in the equation?

• To simplify the equation

• To solve for x

• To find the output value

• To find the input value

What operation should be performed first to solve for x?

• Multiply both sides by 3

• Divide both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides

What is the result of 9 minus 2?

• 6

• 5

• 8

• 7

What is the equation after subtracting 2 from both sides?

• 7 = 3x

• 9 = 3x

• 7 = x

• 9 = x