Solving One and Two Step Equations Challenge

The video tutorial introduces the concept of inverse operations and their application in solving one-step and two-step equations. It explains how operations like addition, subtraction, multiplication, and division can be reversed to solve equations. The tutorial provides examples and demonstrates the process of working backwards through operations to find the value of variables. Advanced concepts, such as dealing with fractions and multiple operations, are also covered.

What operation is the inverse of addition?

• None of the above

• Subtraction

• Multiplication

• Division

To solve the equation 6x = 18, what operation must be performed?

• Subtract 6

• Add 6

• Divide by 6

• Multiply by 6

In the equation x - 3 = 5, what is the first step to isolate x?

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from 5

What is the result of x when solving the equation x - 3 = 5?

• x = 3

• x = 2

• x = 5

• x = 8

When solving two-step equations, what must you do first?

• Follow the order of operations

• Reverse the order of operations

• Multiply both sides by the coefficient

• None of the above

In the equation 2x + 1 = 7, what is the first operation to undo?

• Add 1

• Subtract 1

• Multiply by 2

• Divide by 2

How do you solve the equation x/4 + 3 = 11?

• Multiply both sides by 4, then add 3

• Add 3 to both sides, then divide by 4

• Divide both sides by 4, then subtract 3

• Subtract 3 from both sides, then multiply by 4

What is the inverse operation of multiplying by 1/2?

• Multiplying by 2

• Dividing by 1/2

• Dividing by 2

• None of the above

In a multi-step equation, if you first multiply, then add, what should you undo first?

• The multiplication

• None of the above

• The addition

• Both simultaneously

What does the equation 2x + 3 = 15 simplify to after multiplying both sides by 5?

• 10x + 15 = 75

• 2x + 3 = 75

• 2x + 3 = 15

• x + 3 = 15