Solving Linear Equations Concepts

The video tutorial explains how to solve an equation by isolating the variable x. It begins with simplifying both sides of the equation by eliminating parentheses and combining like terms. The process continues by isolating the variable through undoing operations such as subtraction and division. Finally, 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 for a variable?

• Multiply both sides by zero

• Isolate the variable on one side

• Add random numbers to both sides

• Divide both sides by the variable

How can you eliminate parentheses in an equation?

• By ignoring them

• By multiplying by zero

• By adding them to both sides

• By distributing a negative sign

What is the result of combining -x and 4x?

• 5x

• 3x

• -3x

• 0

What operation is used to isolate the variable term after combining like terms?

• Subtraction

• Addition

• Multiplication

• Division

What is the final step to solve for x in the equation 3x = 15?

• Multiply both sides by 3

• Subtract 3 from both sides

• Divide both sides by 3

• Add 3 to both sides

What is the solution to the equation after solving for x?

• x = 15

• x = 5

• x = 3

• x = 0

Why is it important to verify the solution by substituting back into the original equation?

• To check if the solution is correct

• To change the solution

• To make the equation more complex

• To find a different solution

What should the left side of the equation equal after substituting the solution back?

• Zero

• The original right side

• A different number

• A negative number

What is the result of 6 minus the quantity 5 plus 7?

• 8

• 0

• -6

• 14

What does it mean if both sides of the equation are equal after substitution?

• The solution is incorrect

• The equation is unsolvable

• The solution is verified

• The equation needs more terms