Solving Linear Equations and Inequalities

The video tutorial covers solving equations by eliminating denominators, solving linear equations, handling complex equations with multiple denominators, and factoring quadratic equations. It emphasizes verifying solutions and understanding the process of solving different types of equations.

What is the first step in solving an equation with a denominator?

• Add a constant to both sides

• Identify the value that makes the denominator zero

• Multiply both sides by zero

• Subtract the numerator from the denominator

Why do we multiply both sides of an equation by the denominator?

• To eliminate the denominator

• To add complexity to the equation

• To change the variable

• To simplify the numerator

What is the result of multiplying 3k - 9 by 1/3?

• 1

• k - 3

• 3

• 3k - 9

What is the result of multiplying each side by 3?

• Simplifies the equation

• Changes the equation to a quadratic

• Adds 3 to the numerator

• Eliminates the fraction

What is the result of multiplying 3k - 9 by 1/3 and simplifying?

• 1

• 3k - 9

• 3

• k - 3

What is the result of multiplying each side by 3k - 9?

• Adds 3k - 9 to the numerator

• Eliminates the denominator

• Simplifies the equation

• Changes the equation to a quadratic

What is the result of multiplying each side by 3?

• Eliminates the fraction

• Adds 3 to the numerator

• Changes the equation to a quadratic

• Simplifies the equation

What is the result of multiplying 3k - 9 by 1/3 and simplifying?

• 3k - 9

• 1

• k - 3

• 3

What is the result of multiplying each side by 3k - 9?

• Simplifies the equation

• Changes the equation to a quadratic

• Adds 3k - 9 to the numerator

• Eliminates the denominator

After eliminating the denominator, what type of equation are we left with?

• Logarithmic equation

• Linear equation

• Exponential equation

• Quadratic equation