Solving Linear Equations with Fractions

The video tutorial reviews solving equations, focusing on the challenges students face with fractions. The teacher introduces a method to eliminate fractions by using the least common denominator (LCD). By applying the LCD, the fractions are simplified, making the equation easier to solve. The tutorial demonstrates the process step-by-step, ensuring students understand how to handle equations involving fractions.

What was the main topic reviewed at the beginning of the year?

• Graphing equations

• Solving equations

• Factoring polynomials

• Simplifying expressions

What made solving equations more difficult for many students?

• Introducing variables

• Introducing fractions

• Introducing exponents

• Introducing inequalities

What strategy was suggested to handle fractions in equations?

• Eliminate fractions by using the least common denominator (LCD)

• Use a calculator

• Ignore the fractions

• Convert fractions to decimals

What does LCD stand for?

• Lowest Common Denominator

• Least Common Denominator

• Last Common Denominator

• Largest Common Denominator

What is the least common denominator (LCD) of 4, 3, and 6?

• 6

• 24

• 8

• 12

What happens to the equation when each term is multiplied by the LCD?

• The equation becomes an equivalent equation

• The equation becomes incorrect

• The equation becomes more complex

• The equation changes

What does 12 divided by 4 simplify to?

• 2

• 3

• 4

• 6

What does 12 divided by 3 simplify to?

• 6

• 2

• 3

• 4

What does 12 divided by 6 simplify to?

• 3

• 2

• 6

• 4

What is the final value of x in the equation after solving?

• 1/2

• 2/3

• 3/4

• 1/3