Solving Multi-Step Equations

This video tutorial explains how to solve multi-step equations, focusing on two examples. It outlines the general guidelines for solving such equations, including optional steps for clearing fractions or decimals, simplifying each side, isolating the variable term, and verifying the solution. The video provides a detailed walkthrough of solving two equations, demonstrating each step and verifying the solutions.

What is a multi-step equation?

• An equation that can be solved in one step

• An equation that requires more than two steps to solve

• An equation with only one variable

• An equation that contains fractions

What is the first optional step in solving multi-step equations?

• Simplifying each side of the equation

• Isolating the variable term

• Clearing fractions or decimals by multiplying

• Combining like terms

What should you do if an equation contains parentheses?

• Ignore them

• Clear them by multiplying

• Simplify by clearing the parentheses

• Add them to both sides

How do you isolate the variable term in the equation 2D + 1D - 3 = -30?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 1D from both sides

• Add 3 to both sides

What is the solution to the equation 3D = -27?

• D = -27

• D = 9

• D = -9

• D = 27

How do you verify the solution to an equation?

• By adding the solution to both sides

• By checking if the left side equals the right side after substitution

• By dividing the solution by both sides

• By multiplying both sides by the solution

What is the first step in solving the second equation?

• Add 6m to both sides

• Subtract 6m from both sides

• Multiply both sides by 6

• Divide both sides by 6

What is the result of dividing 130 by -10 in the second equation?

• 13

• -13

• -130

• 130

What is the solution to the second equation?

• M = 13

• M = -130

• M = -13

• M = 130

What is the purpose of checking the solution in an equation?

• To simplify the equation further

• To find a new solution

• To ensure the equation is balanced

• To eliminate fractions