Solving Linear Equations and Terms

The video tutorial demonstrates how to use the box method to solve equations with variables on both sides. It provides three examples: 7x = 4x + 15, 5x - 2 = 3x + 4, and 9n - 6 = 5n + 18. The instructor explains how to organize variables and constants into boxes, switch sides and signs, and solve for the variable by combining like terms and performing division.

What is the first step in using the box method to solve equations?

• Draw a line down the middle

• Switch sides of the equation

• Multiply both sides by a constant

• Combine like terms

In the equation 7x = 4x + 15, what happens to 4x when it is moved to the other side?

• It becomes 4x

• It becomes -4x

• It becomes 15

• It becomes 7x

After organizing terms in the equation 7x = 4x + 15, what is the resulting equation?

• 3x = 15

• x = 5

• 4x = 15

• 7x = 15

In the equation 5x - 2 = 3x + 4, what is the result of combining 5x and -3x?

• 5x

• 0x

• 8x

• 2x

What is the final value of x in the equation 5x - 2 = 3x + 4?

• x = 5

• x = 4

• x = 3

• x = 2

In the equation 9n - 6 = 5n + 18, what does the term -6 become when moved to the other side?

• -6

• 0

• 6

• 12

What is the result of combining 9n and -5n in the equation 9n - 6 = 5n + 18?

• 14n

• 9n

• 0n

• 4n

What is the final value of n in the equation 9n - 6 = 5n + 18?

• n = 5

• n = 4

• n = 7

• n = 6

What is the key rule when switching sides of an equation in the box method?

• Add 10

• Divide by 3

• Multiply by 2

• Switch signs

What operation is used to isolate the variable in the final step of the box method?

• Multiplication

• Subtraction

• Addition

• Division