Solving Linear Equations Concepts

The video tutorial explains how to solve an equation by applying the distributive property and focusing on keeping the variable positive. The instructor demonstrates the process of eliminating variables on one side of the equation to simplify it, ultimately solving for the variable. The tutorial emphasizes the importance of practice and personal preference in choosing methods for solving equations.

Why is it important to make the variable positive when solving equations?

• It is a personal preference.

• It helps in understanding the problem better.

• It is a rule in mathematics.

• It makes calculations easier.

What is the first step in applying the distributive property to the equation?

• Divide each term by the coefficient of the variable.

• Subtract the smaller variable term.

• Multiply each term inside the parentheses by the factor outside.

• Add all constants together.

What equation is formed after applying the distributive property?

• 5n - 34 = -2 - 14n

• 5n - 34 = 2 + 14n

• 5n + 34 = -2 + 14n

• 5n + 34 = 2 - 14n

What is the teacher's preference when solving for the variable?

• Solve for the variable when it is positive.

• Solve for the variable on the right side.

• Solve for the variable when it is negative.

• Solve for the variable on the left side.

Why does the teacher prefer to have the variable positive?

• It simplifies the equation.

• It is easier to interpret the solution.

• It is a mathematical requirement.

• It is a personal preference.

What is the teacher's approach to solving equations?

• Always solve for the variable on the left.

• Always solve for the variable on the right.

• Solve for the variable when it is positive.

• Solve for the variable when it is negative.

What is the strategy used to eliminate variables in this problem?

• Add the variable terms on both sides.

• Multiply the variable terms by a constant.

• Subtract the smaller variable term from both sides.

• Subtract the larger variable term from both sides.

What happens if you subtract 14n instead of 5n?

• The variable becomes positive on the left side.

• The variable becomes negative on the left side.

• The equation becomes unsolvable.

• The constants cancel out.

What is the result after subtracting 5n from both sides?

• 34 = 2 + 9n

• 34 = -2 + 9n

• 34 = 2 - 9n

• 34 = -2 - 9n

What is the next step after obtaining 34 = -2 + 9n?

• Divide both sides by 9.

• Subtract 2 from both sides.

• Add 2 to both sides.

• Multiply both sides by 9.