Understanding Multi-Step Linear Equations

This video tutorial explains how to solve multi-step linear equations in one variable. The main goal is to isolate the variable on one side of the equation. The process involves distributing to clear parentheses, simplifying the equation, and performing operations to isolate the variable. The solution is verified by substituting back into the original equation. The video concludes with a promise of more examples in future videos.

What is the primary objective when solving a linear equation?

• To eliminate all numbers

• To isolate the variable on one side

• To multiply all terms by zero

• To add fractions to the equation

What is the first step in solving the given equation without fractions or decimals?

• Add 10 to both sides

• Clear the parentheses by distributing

• Multiply by zero

• Subtract 5 from both sides

What is the result of 2 x 8X after distributing?

• 8X

• 16X

• 32X

• 64X

After distributing, what operation should be undone first?

• Multiplication

• Division

• Addition or Subtraction

• Exponentiation

What is the opposite operation of addition in the context of solving equations?

• Subtraction

• Multiplication

• Division

• Exponentiation

What operation is performed to both sides to isolate the variable after undoing addition?

• Subtract 32

• Multiply by 2

• Add 16

• Divide by 16

What is the solution to the equation after all operations are performed?

• X = 0

• X = 2

• X = 8

• X = 4

What is the simplified form of 16 divided by 16?

• 16

• 1

• 0

• 32

How do you verify the solution of the equation?

• By checking if the original equation holds true with the solution

• By adding 10 to the solution

• By multiplying the solution by zero

• By subtracting the solution from 100

What should be the result when verifying the solution in the original equation?

• The equation should equal 0

• The equation should equal 32

• The equation should equal 100

• The equation should equal 64