Simplifying Expressions and Distributions

The video tutorial explains how to simplify algebraic expressions by first clearing parentheses through distribution and then combining like terms. It covers two examples, demonstrating the distribution of negative numbers and fractions, and concludes with the final simplified expressions.

What is the first step in simplifying expressions?

• Multiplying all terms

• Combining like terms

• Adding constants

• Distributing to clear parentheses

When distributing negative two in the first expression, what is the result of negative two times x?

• Positive two x

• Zero

• Negative x

• Negative two x

How do you treat subtraction when distributing negative one-third in the first expression?

• As addition

• As division

• As multiplication

• As negative one-third

What is the simplified form of negative nine x over three?

• Negative three x

• Negative nine x

• Three x

• Zero

What is the final simplified form of the first expression?

• Five x minus fourteen

• Negative three x plus ten

• Negative five x plus fourteen

• Negative two x plus four

In the second example, what is the result of distributing negative three to two x?

• Negative six x

• Zero

• Positive six x

• Negative three x

How is negative one-fourth times eight x over one simplified?

• Zero

• Positive two x

• Negative eight x

• Negative two x

What is the simplified form of twenty divided by four?

• Five

• Ten

• Four

• Two

What is the result of combining negative six x and negative two x?

• Negative eight x

• Negative four x

• Zero

• Positive eight x

What is the final simplified form of the second expression?

• Negative eight x plus two

• Negative six x plus five

• Eight x minus two

• Negative two x plus eight