Solving Two-Step Equations

The video tutorial explains how to solve the equation x/2 + 4 = 3 by isolating the variable x. It covers the process of solving two-step equations, emphasizing the importance of understanding each step. The solution involves subtracting 4 from both sides and then multiplying by 8 to find that x equals -8. The solution is verified by substituting back into the original equation.

What is the initial equation presented in the video?

• x divided by 3 plus 4 equals 2

• x divided by 2 plus 3 equals 4

• x divided by 4 plus 2 equals 3

• x divided by 2 plus 4 equals 3

What is the goal when solving a two-step equation?

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

• To simplify the equation as much as possible

• To eliminate all variables

• To make both sides of the equation zero

What should you do first when solving a two-step equation?

• Undo addition or subtraction

• Undo multiplication or division

• Combine like terms

• Factor the equation

What operation is performed to both sides of the equation to undo the addition of 4?

• Divide by 4

• Multiply by 4

• Add 4

• Subtract 4

After subtracting 4 from both sides, what is the resulting equation?

• x divided by 8 equals -1

• x divided by 8 equals 1

• x divided by 2 equals -1

• x divided by 4 equals -1

What is the next step after obtaining x divided by 8 equals -1?

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

What is the value of x after solving the equation?

• -8

• 8

• -1

• 1

What is the purpose of verifying the solution?

• To simplify the equation further

• To find a different solution

• To ensure the solution makes the original equation true

• To check for calculation errors

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

• 0

• -1

• 3

• 4

What does the final verification step confirm?

• That the equation needs to be simplified further

• That the solution x = -8 is correct

• That the equation has no solution

• That the solution x = 8 is correct