Isolating Variables in Linear Equations

This video tutorial demonstrates how to solve a linear equation with variable terms on both sides. It covers two methods: isolating the variable on the left side and on the right side. The video also verifies the solution by substituting the value back into the original equation to ensure correctness.

What is the first step in solving a linear equation with variable terms on both sides?

• Add or subtract to isolate the variable term

• Simplify both sides by factoring

• Divide both sides by a constant

• Multiply both sides by a constant

When isolating the variable on the left side, what operation is performed to eliminate -2x from the right side?

• Multiply both sides by 2

• Divide both sides by 2

• Add 2x to both sides

• Subtract 2x from both sides

After isolating 4x on the left side, what is the next step to solve for x?

• Multiply both sides by 4

• Divide both sides by 4

• Add 8 to both sides

• Subtract 8 from both sides

What is the solution to the equation after isolating the variable on the left side?

• x = 4

• x = -8

• x = 8

• x = -4

When isolating the variable on the right side, what operation is performed to eliminate 2x from the left side?

• Multiply both sides by 2

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 2

What is the result of dividing both sides by -4 when isolating the variable on the right side?

• x = 8

• x = -8

• x = 4

• x = -4

What is the coefficient of x when the variable is isolated on the right side?

• Undefined

• Positive

• Zero

• Negative

What is the purpose of substituting the solution back into the original equation?

• To simplify the equation further

• To verify the solution is correct

• To find a new solution

• To change the equation

What is the result of substituting x = 8 into the original equation?

• Both sides equal 16

• Both sides equal 8

• The right side equals 10

• The left side equals 10

What does the verification step confirm about the solution?

• The solution needs adjustment

• The solution is approximate

• The solution is correct

• The solution is incorrect