Basic Operations and Variable Equations

The video tutorial explains how to solve one-step variable equations by isolating the variable, balancing both sides of the equation, and using opposite operations. It covers the concepts of creating zero and one to simplify equations and demonstrates both detailed and shortcut methods for solving. The tutorial emphasizes understanding the reasoning behind each step and encourages using shortcuts once the basic concepts are mastered.

What is the primary goal when solving one-step variable equations?

• To add more variables

• To find the value of the variable

• To eliminate all numbers

• To make both sides of the equation equal zero

In the equation 3x - 2 = 4, what is the variable?

• 3

• x

• 4

• 2

What is the first step in isolating the variable in an equation?

• Multiply both sides by zero

• Add a random number to both sides

• Subtract the variable from both sides

• Get the variable on one side of the equation

How do you eliminate subtraction in an equation?

• By adding the same number to both sides

• By subtracting the same number from both sides

• By multiplying both sides by zero

• By dividing both sides by the number

What must you do to maintain balance in an equation?

• Multiply both sides by the variable

• Add zero to both sides

• Perform the same operation on both sides

• Only change one side of the equation

What happens when you add zero to any number?

• The number becomes zero

• The number remains unchanged

• The number becomes negative

• The number doubles

How do you create a value of one when dealing with multiplication in an equation?

• By adding one to both sides

• By dividing both sides by the same number

• By multiplying both sides by zero

• By subtracting one from both sides

What is the result of dividing a number by itself?

• One

• The original number

• Negative one

• Zero

What is the simplified form of 1 times x?

• x

• 1

• 0

• x + 1

What is the shortcut for moving a term to the other side of an equation?

• Use the same operation

• Use the opposite operation

• Add zero to both sides

• Multiply by the variable