Solving Two-Step Equations

This video tutorial explains how to solve two-step equations in algebra. It begins with an introduction to the concept, followed by a detailed example of solving the equation 7x + 3 = 38. The tutorial demonstrates how to isolate the variable x by performing inverse operations, first subtracting 3 and then dividing by 7. It also emphasizes the importance of checking the solution by substituting the value back into the original equation. The video concludes with a summary of the key steps involved in solving two-step equations.

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

• To find the value of the constant

• To isolate the variable

• To eliminate all terms

• To simplify the equation

What is the first step in solving the equation 7x + 3 = 38?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 7

• Divide both sides by 7

After moving the constant, what is the resulting equation from 7x + 3 = 38?

• 7x = 41

• 7x = 31

• 7x = 35

• 7x = 38

What operation is used to isolate x in the equation 7x = 35?

• Multiplication

• Addition

• Division

• Subtraction

What is the value of x in the equation 7x = 35?

• x = 7

• x = 5

• x = 35

• x = 3

How do you verify the solution of a two-step equation?

• By checking if the variable equals zero

• By solving a different equation

• By substituting the solution back into the original equation

• By graphing the equation

What should the left and right sides of the equation equal after verification?

• The left side should be greater

• The right side should be greater

• Both sides should be equal

• Both sides should be zero

What is the final step after solving a two-step equation?

• Simplify the equation

• Multiply the solution

• Graph the solution

• Check the solution

What is the correct solution for the equation 7x + 3 = 38?

• x = 3

• x = 5

• x = 7

• x = 38

What is the importance of checking your work in solving equations?

• To eliminate the variable

• To make the equation more complex

• To find a different solution

• To ensure the solution is correct