Solving Linear Equations and Inequalities

The video tutorial explains how to solve linear equations, focusing on isolating the variable X. It demonstrates the process using an example equation, -4x - 14 = 10, and guides through the steps of adding and dividing to find the solution, which is x = -6.

What is the first step in solving a linear equation?

• Add a constant to both sides

• Isolate the variable term

• Multiply both sides by a constant

• Subtract a constant from both sides

In the equation -4x - 14 = 10, what is the first operation performed to simplify it?

• Subtract 10 from both sides

• Multiply both sides by -4

• Add 14 to both sides

• Divide both sides by 4

What does it mean to isolate the variable in an equation?

• Add a constant to the variable

• Combine all terms on one side

• Get the variable term alone on one side

• Multiply the variable by a constant

When combining like terms, what should you focus on?

• Combining terms with the same variable

• Multiplying terms by a constant

• Adding constants to both sides

• Subtracting terms from both sides

Why do we add 14 to both sides in the equation -4x - 14 = 10?

• To make the right side zero

• To simplify the left side

• To balance the equation

• To eliminate the variable

What is the result of adding 14 to both sides of the equation -4x - 14 = 10?

• -4x = -4

• -4x = 24

• 4x = 24

• 4x = -4

What is the first step in solving the equation -4x - 14 = 10?

• Divide both sides by 4

• Multiply both sides by -4

• Subtract 14 from both sides

• Add 14 to both sides

What operation is performed after adding 14 to both sides in the equation -4x = 24?

• Divide both sides by -4

• Multiply both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

What is the solution to the equation -4x = 24?

• x = -6

• x = -4

• x = 4

• x = 6

What is the final step in solving the equation -4x = 24?

• Divide both sides by -4

• Subtract 24 from both sides

• Multiply both sides by -4

• Add 24 to both sides