Solving Equations and Distributing Terms

The video tutorial covers solving two-step equations, including those with parentheses. It begins with a review of one-step equations and introduces two-step equations, emphasizing the importance of isolating the variable. The instructor provides examples and explains the steps of adding/subtracting and dividing. The tutorial also covers equations with parentheses, highlighting the need to distribute before solving. Repetition is used to reinforce learning, ensuring students can visualize the steps in their minds.

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

• Square both sides of the equation

• Multiply both sides by the coefficient of x

• Divide both sides by the constant

• Add or subtract to isolate the variable term

In the equation 2x + 5 = 15, what should be done first?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 2

• Divide both sides by 2

After subtracting 5 from both sides in the equation 2x + 5 = 15, what is the next step?

• Add 5 to both sides

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 2 from both sides

What is the solution to the equation 2x + 5 = 15?

• x = 10

• x = 15

• x = 20

• x = 5

In the equation 15 + 6x = 45, what is the first step to isolate x?

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply both sides by 6

• Divide both sides by 6

After subtracting 15 from both sides in the equation 15 + 6x = 45, what is the next step?

• Divide both sides by 6

• Multiply both sides by 6

• Subtract 6 from both sides

• Add 6 to both sides

What is the solution to the equation 15 + 6x = 45?

• x = 15

• x = 10

• x = 5

• x = 20

What is the purpose of parentheses in an equation?

• To indicate addition

• To indicate subtraction

• To indicate distribution

• To indicate division

In the equation 2(X + 5) = 50, what is the first step?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 2

• Distribute the 2

After distributing in the equation 2(X + 5) = 50, what is the next step?

• Subtract 10 from both sides

• Add 10 to both sides

• Multiply both sides by 2

• Divide both sides by 2