Solving Two-Step Equations

The video tutorial explains how to solve the equation -4x + 14 = -20 using a two-step process. It involves isolating the variable x by first undoing the addition and then the multiplication. The solution is simplified to its simplest form, and the correctness is verified by substituting the solution back into the original equation.

What is the main goal when solving the equation -4x + 14 = -20?

• To make both sides of the equation equal to zero

• To convert the equation into a quadratic form

• To eliminate all variables from the equation

• To find the value of x that makes the equation true

What is the first step in solving a two-step equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Undo the multiplication or division

• Undo the addition or subtraction

Why do we subtract 14 from both sides of the equation?

• To eliminate the variable term

• To isolate the variable term

• To make the equation a single step

• To convert the equation into a fraction

After subtracting 14 from both sides, what is the resulting equation?

• 4x = 6

• 4x = 34

• -4x = -6

• -4x = -34

What operation is used to isolate x after simplifying the equation to -4x = -34?

• Addition

• Multiplication

• Division

• Subtraction

What is the simplified form of the fraction 34/14?

• 7/17

• 34/7

• 17/14

• 17/7

What is the final solution for x in the equation -4x + 14 = -20?

• x = 17/7

• x = 7/17

• x = 34/14

• x = 14/34

Why is it important to verify the solution by substituting back into the original equation?

• To find a different solution

• To check for calculation errors

• To ensure the solution satisfies the equation

• To simplify the equation further

What should the left side of the equation equal after substituting the solution back into the original equation?

• 14

• 0

• -20

• -34

What does the verification step confirm about the solution?

• The equation needs further simplification

• The equation has no solution

• The solution is correct

• The solution is incorrect