Solving Linear Equations Steps

The video tutorial explains how to solve an equation by isolating the variable. It begins with simplifying the equation through distribution and combining like terms. Next, it demonstrates how to isolate the variable by adding or subtracting terms. Finally, it shows how to solve for the variable by dividing both sides of the equation. The solution is verified by substituting the value back into the original equation to ensure it holds true.

What is the first step in solving an equation to find the value of x?

• Subtract a constant from both sides

• Add a constant to both sides

• Isolate x on one side of the equation

• Multiply both sides by a constant

How do you simplify the left side of the equation initially?

• By adding a constant

• By subtracting a constant

• By distributing and combining like terms

• By multiplying by a constant

What operation is used to clear the parentheses in the equation?

• Subtraction

• Multiplication

• Division

• Addition

What is the result of combining 6 and -12 on the left side of the equation?

• -18

• 6

• -6

• 18

What is the purpose of adding 6 to both sides of the equation?

• To undo the subtraction of 6

• To simplify the equation

• To multiply the equation

• To eliminate the variable

After adding 6 to both sides, what does the equation become?

• 3x = -27

• 3x = -21

• 3x = 21

• 3x = 27

What is the final step to solve for x in the equation?

• Divide both sides by a constant

• Multiply both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

What is the value of x after solving the equation?

• -7

• 7

• -21

• 21

What is the purpose of substituting -7 back into the original equation?

• To verify the solution is correct

• To change the equation

• To find a new solution

• To simplify the equation further

What is the result when substituting -7 into the original equation?

• The equation becomes false

• The equation remains unchanged

• The equation becomes true

• The equation becomes undefined