Common Factors and Exponential Expressions

The video tutorial guides students through solving for x in an equation by splitting terms, identifying common factors, and simplifying the equation. It demonstrates using a calculator for simplification and concludes with finding the solution, x equals 3.

What is the first step when you encounter an equation like this?

• Add all terms together

• Factorize the equation

• Multiply all terms by 2

• Subtract the smallest term

How can the term 3x be split in the equation?

• 3x - 3

• 3x + 3

• 3x divided by 3

• 3x times 3 to the negative one

What is the common factor in the equation?

• 36

• 3 to the x

• x

• 3

What should you do after taking out the common factor?

• Divide by the common factor

• Simplify the remaining terms

• Multiply by 2

• Add 5 to both sides

What is the value of the expression inside the bracket after simplification?

• 3

• 4/3

• 2

• 1/3

How do you solve 36 divided by 4/3 using a calculator?

• Enter 36, then divide by 4

• Enter 36, then multiply by 3/4

• Enter 36, then divide by 3/4

• Enter 36, then multiply by 4/3

What is the result of 36 divided by 4/3?

• 27

• 30

• 24

• 12

What is 27 expressed as a power of 3?

• 3 to the power of 2

• 3 to the power of 5

• 3 to the power of 3

• 3 to the power of 4

What do you do when the bases of the powers are the same?

• Multiply the exponents

• Ignore the bases and equate the exponents

• Subtract the exponents

• Add the exponents

What is the final value of x in the equation?

• 1

• 4

• 2

• 3