Solving Multi-Step Equations

The video tutorial explains how to solve the equation 4(2m-8)=24 by isolating the variable m through a series of steps. It begins with distributing and simplifying the equation, followed by isolating the variable term and solving for m using division. The solution is verified by substituting the value back into the original equation, confirming that m equals 7.

What is the main goal when solving the equation 4(2m - 8) = 24?

• To find the value of m that makes the equation false

• To eliminate all variables from the equation

• To simplify the equation as much as possible

• To find the value of m that makes the equation true

What is the first step in solving the equation 4(2m - 8) = 24?

• Multiply both sides by 2

• Subtract 8 from both sides

• Distribute the 4 to clear the parentheses

• Add 8 to both sides

After distributing the 4, what does the left side of the equation become?

• 8m + 32

• 8m - 32

• 4m - 16

• 2m - 8

What operation is used to isolate the variable term 8m?

• Subtract 32 from both sides

• Add 32 to both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the result of adding 32 to both sides of the equation 8m - 32 = 24?

• 8m = 56

• 8m = 24

• 8m = 8

• 8m = 32

What is the final step to solve for m in the equation 8m = 56?

• Add 8 to both sides

• Divide both sides by 8

• Subtract 8 from both sides

• Multiply both sides by 8

What is the value of m after solving the equation 8m = 56?

• m = 6

• m = 7

• m = 5

• m = 8

How do you verify the solution m = 7 in the original equation?

• By substituting m = 7 back into the equation and checking if both sides are equal

• By checking if m = 7 makes the equation false

• By solving the equation again with a different method

• By substituting m = 8 back into the equation

What is the result of substituting m = 7 back into the original equation?

• The equation becomes 4(2*7 - 8) = 24, which is false

• The equation becomes 4(2*7 + 8) = 24, which is false

• The equation becomes 4(2*7 - 8) = 24, which is true

• The equation becomes 4(2*7 + 8) = 24, which is true

What does the equation simplify to after verifying the solution m = 7?

• 24 = 24, which is false

• 24 = 24, which is true

• 28 = 24, which is true

• 28 = 24, which is false