Solving Algebraic Equations

The video tutorial teaches how to simplify and solve algebraic equations by combining like terms. It provides two examples: solving for x in the equation 3x - 7 - 2x - 4 = 1, and solving for n in the equation 6n + 5 - 4n - 4 = 3. The instructor emphasizes the importance of keeping signs with terms when rearranging them. The video concludes with a call to action for feedback and additional resources.

What is the first step in solving an algebraic equation by combining like terms?

• Divide all terms by the coefficient of x

• Multiply all terms by 2

• Combine like terms

• Add all constants together

What is the purpose of combining like terms in an algebraic equation?

• To change the equation's solution

• To add more variables

• To simplify the equation

• To make the equation longer

What is the purpose of combining like terms in an algebraic equation?

• To change the equation's solution

• To make the equation longer

• To simplify the equation

• To add more variables

In the equation 3x - 7 - 2x - 4 = 1, what is the result of combining the x terms?

• 5x

• 0

• 2x

• x

After combining like terms in the equation 3x - 7 - 2x - 4 = 1, what is the simplified form?

• x + 3 = 1

• x - 11 = 1

• x + 11 = 1

• x - 3 = 1

In the equation 3x - 7 - 2x - 4 = 1, what is the result of combining the constant terms?

• 3

• 11

• -3

• -11

In the equation 3x - 7 - 2x - 4 = 1, what is the result of combining the x terms?

• 5x

• 0

• x

• 2x

In the equation 3x - 7 - 2x - 4 = 1, what is the result of combining the constant terms?

• 11

• 3

• -3

• -11

What operation is used to isolate x in the equation x - 11 = 1?

• Subtract 11 from both sides

• Divide both sides by 11

• Add 11 to both sides

• Multiply both sides by 11

What is the value of x in the equation x - 11 = 1 after solving?

• 13

• 10

• 11

• 12