Solving Equations of the Form ax + b = c using Inverse Operations

The video tutorial explains how to solve equations of the form ax + b = c using inverse operations. It covers the process of isolating the variable by applying inverse operations to both sides of the equation. The tutorial provides examples of one-step and two-step equations, demonstrating how to simplify equations step-by-step. It also explores alternative methods for solving equations and concludes with a final example to reinforce the concepts taught.

What is the primary goal when solving equations using inverse operations?

• To make both sides of the equation unequal

• To find the value of the variable

• To eliminate all variables

• To make the equation more complex

Which operation would you use to solve the equation x + 8 = 1?

• Multiplication

• Division

• Subtraction

• Addition

In the equation 2x + 3 = 9, what is the first step to isolate the variable?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

Why is it incorrect to divide by 2 first in the equation 2x + 3 = 9?

• It requires dividing every term by 2

• It does not simplify the equation

• It is illegal to divide by 2

• It makes the equation more complex

What is the result of solving the equation 1/8x - 9 = -7 using inverse operations?

• x = 2

• x = 16

• x = 4

• x = 8

Which method is generally preferred for solving two-step equations?

• Multiplying by the coefficient first

• Adding or subtracting constants first

• None of the above

• Dividing by the coefficient first

What is the inverse operation of dividing by 8?

• Adding 8

• Dividing by 8 again

• Subtracting 8

• Multiplying by 8