Solving Linear Equations Concepts

The video tutorial explains how to solve a linear equation in one variable. It begins with simplifying the equation by eliminating parentheses and combining like terms. The tutorial then demonstrates how to clear fractions using the least common denominator. Next, it shows how to isolate the variable term by adding or subtracting terms on both sides. Finally, the solution is verified by substituting it back into the original equation.

What is the first step in solving a linear equation in one variable?

• Isolating the variable

• Simplifying the equation

• Multiplying both sides by a constant

• Adding fractions

When simplifying the left side of the equation, what operation is used to eliminate parentheses?

• Addition

• Subtraction

• Distribution

• Division

How do you clear fractions from an equation?

• By subtracting the fractions

• By dividing both sides by the greatest common factor

• By multiplying both sides by the least common denominator

• By adding the fractions

What is the least common multiple of 5 and 2?

• 20

• 15

• 10

• 5

What is the purpose of isolating the variable term on one side of the equation?

• To simplify the equation

• To solve for the variable

• To eliminate fractions

• To verify the solution

What operation is performed to isolate the variable term 9x?

• Addition

• Subtraction

• Multiplication

• Division

What is the solution to the equation after isolating the variable?

• x = 6

• x = 5

• x = 8

• x = 7

How do you verify the solution to a linear equation?

• By adding the solution to both sides

• By checking if the solution satisfies the original equation

• By solving the equation again

• By multiplying the solution by a constant

What is the result of substituting x = 6 back into the original equation?

• The equation has no solution

• The equation is not satisfied

• The equation is satisfied

• The equation becomes more complex

What is the final step in solving a linear equation?

• Verifying the solution

• Simplifying the equation

• Clearing fractions

• Distributing terms