Solving Equations and Fractions

The video tutorial covers solving complex equations by expanding and collecting like terms. It introduces fractions as an added complexity and demonstrates how to eliminate them using multiplication by the lowest common multiple (LCM). The tutorial emphasizes simplifying equations by canceling terms and combining like terms to reach a solution.

What are the two main steps initially used to solve equations?

• Factoring and collecting like terms

• Factoring and simplifying

• Expanding and simplifying

• Expanding and collecting like terms

What additional complexity is introduced in the equations discussed?

• Decimals

• Exponents

• Inequalities

• Fractions

Why is the number 6 chosen to multiply both sides of the equation?

• It is the sum of the coefficients

• It is the lowest common multiple of the denominators

• It is the highest common factor of the denominators

• It is a random choice

What is the purpose of multiplying both sides of an equation by the lowest common multiple?

• To simplify the equation

• To eliminate fractions

• To factor the equation

• To expand the equation

What happens when you multiply a term by 6 in the context of expanding?

• You multiply each part of the term by 6

• You divide the term by 6

• You subtract 6 from the term

• You add 6 to the term

What is the result of canceling terms in the equation?

• The equation becomes more complex

• The equation is simplified

• The equation remains unchanged

• The equation is factored

How are like terms identified in the equation?

• By their coefficients

• By their variables

• By their constants

• By their exponents

What is the final step in solving the equation after collecting like terms?

• Dividing both sides by the coefficient

• Subtracting the terms

• Adding the terms

• Multiplying both sides by the coefficient

How is the number 1 represented to have a common denominator with 19?

• 1/19

• 19/1

• 19/19

• 1/1

What is the significance of having a common denominator in fractions?

• It makes multiplication easier

• It allows for easier addition and subtraction

• It complicates the equation

• It simplifies division