Solving Two-Step Equations

This video tutorial explains how to solve equations with variables on both sides. It emphasizes the importance of simplifying each side before solving. Two examples are provided to demonstrate the process: distributing terms, combining like terms, and moving variables to one side. The video concludes with a summary of the consistent pattern used in solving such equations.

What is the first step when solving equations with variables on both sides?

• Divide both sides by the variable

• Move the variable to one side

• Simplify each side

• Add numbers to both sides

In the first example, what operation is performed after distributing the 2 on the left side?

• Combining like terms

• Subtracting from both sides

• Dividing both sides

• Adding to both sides

What is the result of distributing 2 in the expression 2 * (3x - 1)?

• 3x + 2

• 3x - 2

• 6x - 2

• 6x + 2

After simplifying both sides in the first example, what is the next step?

• Multiply both sides by 3

• Subtract 3x from both sides

• Divide both sides by 3

• Add 3x to both sides

What is the final solution for x in the first example?

• x = 8/3

• x = 3

• x = 1/3

• x = 2

What is the result of subtracting 3x from both sides in the first example?

• 3x - 2 = 6

• 3x - 2 = 0

• 3x + 2 = 0

• 3x + 2 = 6

What is the result of adding 2 to both sides in the first example?

• 3x = 12

• 3x = 10

• 3x = 8

• 3x = 6

In the second example, what is the result of distributing 4 on the right side?

• 4x - 20 + 24

• 4x - 24 + 20

• 4x + 20 - 24

• 4x + 24 - 20

What is the simplified form of 6x - 9x on the left side in the second example?

• -15x

• 15x

• 3x

• -3x

What is the next step after simplifying both sides in the second example?

• Divide both sides by 3

• Move -3x to the other side

• Subtract 3x from both sides

• Add 3x to both sides