Solving Linear Equations Steps

The video tutorial explains how Mary Bell solves a linear equation. Initially, she isolates the variable X by subtracting 2 from both sides of the equation. The final step involves multiplying both sides by 4 to maintain equality, demonstrating the multiplication property of equality. The tutorial emphasizes understanding each step and the justification behind them.

What is the first step Mary Bell takes to solve the equation x / 4 + 2 = 6?

• Multiply both sides by 4

• Divide both sides by 2

• Add 4 to both sides

• Subtract 2 from both sides

Why is subtracting 2 from both sides a logical first step in solving the equation?

• It simplifies the equation by removing a constant

• It eliminates the variable x

• It changes the equation to a quadratic form

• It makes the equation more complex

After subtracting 2 from both sides, what does the equation become?

• x / 4 = 8

• x / 4 = 2

• x / 4 = 4

• x / 4 = 6

What operation is performed to isolate x completely in the equation x / 4 = 4?

• Add 4 to both sides

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4

What property of equality is used when multiplying both sides of the equation by 4?

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

• Division property of equality

What is the final value of x after solving the equation?

• x = 16

• x = 4

• x = 8

• x = 12