Solving Linear Equations Concepts

This video tutorial explains how to solve a linear equation in one variable. It emphasizes the importance of creating equivalent equations by performing the same operations on both sides. The process involves simplifying each side, isolating the variable term, and solving the equation through division. Finally, the solution is verified by substituting it back into the original equation to ensure both sides are equal.

Why is it important to perform the same operation on both sides of a linear equation?

• To change the solution

• To make the equation more complex

• To keep the equation balanced

• To eliminate variables

What is the first step in solving a linear equation?

• Isolating the variable

• Simplifying each side

• Multiplying both sides

• Checking the solution

What operation is used to isolate the variable term in the equation -3x + 15 = 36?

• Add 15 to both sides

• Divide by -3

• Subtract 15 from both sides

• Multiply by 3

After isolating the variable term, what is the next step to solve for x in -3x = 21?

• Divide by -3

• Multiply by -3

• Subtract 3 from both sides

• Add 3 to both sides

What is the solution to the equation -3x = 21?

• x = 7

• x = -21

• x = -7

• x = 21

Why is it important to verify the solution of a linear equation?

• To find a different solution

• To make the equation more complex

• To change the equation

• To ensure the solution is correct

What is the result of substituting x = -7 back into the equation 15 - 3x = 36?

• 15 + 3(7) = 36

• 15 + 3(-7) = 36

• 15 - 3(-7) = 36

• 15 - 3(7) = 36

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

• The solution is incorrect

• The solution is correct

• The equation is unsolvable

• The equation needs more terms

What operation is used to simplify -3 times -7 in the verification step?

• Addition

• Subtraction

• Division

• Multiplication

What is the simplified result of 15 + 21 in the verification step?

• 21

• 15

• 36

• 0