Solving Equations with Variables on Both Sides

The video tutorial guides students through solving algebraic equations, starting with simple equations and progressing to more complex ones with variables on both sides. The instructor demonstrates how to isolate variables by moving terms across the equal sign and changing their signs. The lesson concludes with verifying the solution and discussing future class plans.

What is the first step to solve the equation x + 5 = 26?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of x in the equation x + 5 = 26?

• 19

• 25

• 21

• 23

When moving a term across the equal sign, what happens to its sign?

• It doubles

• It stays the same

• It becomes positive

• It becomes negative

In the equation 8x + 5 = 4x + 13, what is the first step to isolate the variable?

• Add 5 to both sides

• Subtract 5 from both sides

• Add 4x to both sides

• Subtract 4x from both sides

After moving 4x to the left side in the equation 8x + 5 = 4x + 13, what is the resulting equation?

• 8x = 8

• 4x = 8

• 4x + 5 = 8

• 4x + 5 = 13

What operation is used to isolate x in the equation 4x = 8?

• Multiplication

• Subtraction

• Addition

• Division

What is the value of x in the equation 4x = 8?

• 2

• 4

• 3

• 1

How can you verify that your solution for x is correct?

• By guessing

• By substituting x back into the original equation

• By using a calculator

• By asking the teacher

What is the result when you substitute x = 2 back into the original equation 8x + 5 = 4x + 13?

• 16 = 16

• 18 = 18

• 21 = 21

• 20 = 20

What is the key lesson from the video?

• Always add numbers to both sides.

• Never move variables across the equal sign.

• Only move numbers, not variables.

• You can move numbers and variables across the equal sign and change their signs.