Solving Multi-Step Equations with Distribution

The video tutorial explains how to solve a multi-step equation. It begins by introducing the concept of equations being equal on both sides and the need to distribute numbers next to parentheses. The process involves distributing, rewriting the equation, isolating the variable, and using inverse operations to eliminate constants. Finally, the equation is solved by dividing both sides, resulting in the solution for the variable.

What does it mean when an equation is equal on both sides?

• Both sides have the same value.

• Both sides have the same number of terms.

• Both sides have the same coefficients.

• Both sides have the same variables.

What should you do when you see a number next to parentheses in an equation?

• Add the number to the terms inside the parentheses.

• Subtract the number from the terms inside the parentheses.

• Ignore the number.

• Distribute the number to each term inside the parentheses.

What is the first step in isolating the variable in a multi-step equation?

• Add a constant to both sides.

• Multiply both sides by a constant.

• Eliminate the constant by doing inverse operations.

• Square both sides.

How do you solve the equation 42x = 84?

• Divide both sides by 42.

• Add 42 to both sides.

• Subtract 42 from both sides.

• Multiply both sides by 42.

What is the value of x in the equation 42x = 84?

• 4

• 3

• 1

• 2