Solving Linear Equations Concepts

This video tutorial introduces solving linear equations in one variable, focusing on isolating the variable x. It provides multiple examples, demonstrating the process of moving terms across the equal sign, combining like terms, and dividing by the numerical coefficient to find the solution. The tutorial emphasizes the importance of changing signs when terms cross the equal sign and provides clear, step-by-step solutions for each example.

What is the primary goal when solving a linear equation in one variable?

• To find the value of y

• To eliminate all variables

• To simplify the equation to zero

• To make both sides of the equation equal

What does it mean for an equation to be linear?

• The equation is a quadratic

• The variable is raised to the second power

• The variable is raised to the first power

• The equation has no variables

When isolating x, what happens to the sign of a term when it crosses the equal sign?

• It remains the same

• It becomes positive

• It changes to the opposite sign

• It doubles

In the example where 3x equals 14, what is the value of x?

• 6

• 5

• 4

• 7

What is the result of combining like terms in the equation 4x - 2x?

• 8x

• 2x

• 6x

• 0

How do you handle terms with x on both sides of the equation?

• Move all x terms to the left side

• Move all x terms to the right side

• Eliminate all x terms

• Keep x terms on both sides

In the equation 6x - 8x = 11, what is the value of x?

• -8

• -2

• 8

• 2

What is the final step in solving a linear equation?

• Divide both sides by the numerical coefficient

• Subtract all terms

• Multiply both sides by the variable

• Add all terms

In the equation 2x + x = 14, what is the value of x?

• 3

• 6

• 4

• 5

What should you always do with terms that do not have the variable in them?

• Move them to the left side

• Eliminate them

• Keep them on both sides

• Move them to the right side