Solving Equations with Variables

The video tutorial covers solving a two-step equation, specifically '4 - b = 35'. It explains the importance of recognizing visible and invisible coefficients, particularly negative ones, and how they affect the solution process. The tutorial draws parallels with similar problems, emphasizing the need to isolate the variable by performing inverse operations. The solution involves addressing the positive and negative components of the equation, using addition and division to find the value of 'b'.

What is the initial equation that needs to be solved?

• 4 + b = 35

• b + 4 = 35

• 4 - b = 35

• b - 4 = 35

What is the first step in solving the equation 4 - b = 35?

• Subtract 4 from both sides

• Divide both sides by 4

• Add 4 to both sides

• Multiply both sides by 4

How is the number 4 in the equation 4 - b = 35 described?

• As a coefficient

• As a positive number

• As a variable

• As a negative number

Why is it important to write in the number one when dealing with negative variables?

• To simplify the equation

• To change the variable to positive

• To remember the variable is negative

• To make the equation more complex

In the context of the equation, what does the term 'visible one' refer to?

• The solution to the equation

• The coefficient of b

• The variable b

• The number 4

What operation is used to eliminate the negative sign in front of the variable?

• Division

• Subtraction

• Multiplication

• Addition

What is the final value of b in the equation 4 - b = 35?

• 31

• -35

• -31

• 35

What is the opposite operation of multiplication when solving equations?

• Addition

• Subtraction

• Exponentiation

• Division

What is the purpose of using reverse operations in solving equations?

• To change the variable

• To make the equation more complex

• To simplify the equation

• To verify the solution

What is the result of dividing 31 by -1 in the context of the equation?

• 1

• -31

• 31

• 0