Solving Multi-Step Equations

The video tutorial demonstrates how to solve a multi-step equation using an algebra model. It begins by simplifying each side of the equation through combining like terms. Next, it shows how to collect variables by removing equal numbers from both sides. The tutorial then explains isolating variables by adjusting constants and concludes with dividing both sides to find the solution for x, which is -3.

What is the purpose of using a model in solving multi-step equations?

• To eliminate the need for calculations

• To avoid using algebra

• To make the equation more complex

• To visualize the equation

What is the initial equation setup in the video?

• 4x + 1 - x = x - 4 - 1

• 2x + 1 = -5

• 3x + 1 = x - 5

• x = -3

What is the first step in simplifying the equation?

• Combining like terms

• Multiplying both sides

• Dividing both sides

• Adding terms on both sides

After simplifying, what does the equation become on the left side?

• x - 4

• x - 5

• 2x + 1

• 3x + 1

What is the next step after simplifying both sides of the equation?

• Removing equal numbers of variables from both sides

• Adding more variables

• Multiplying both sides by a constant

• Adding constants to both sides

What does the equation become after removing one x from both sides?

• 4x + 1 = x - 4

• x = -3

• 3x + 1 = x - 5

• 2x + 1 = -5

How do you isolate the variable in the equation 2x + 1 = -5?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

What is the result after isolating the variable by removing the constant?

• 2x = -6

• x = -3

• x = 0

• 3x = -5

What is the final step to solve the equation 2x = -6?

• Add 6 to both sides

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 6 from both sides

What is the solution to the equation after all steps are completed?

• x = 3

• x = -3

• x = 0

• x = 6