Simplifying Expressions and Fractions

The video tutorial explains how to simplify algebraic expressions by following the order of operations. It covers two examples, demonstrating the simplification process step-by-step, including handling coefficients, exponents, and negative fractions. The tutorial also shows how to express the results in different equivalent forms.

What is the first step in simplifying expressions according to the order of operations?

• Simplifying inside the parentheses

• Simplifying outside the parentheses

• Adding all coefficients

• Multiplying all terms

How do you simplify the coefficients 3 and 9 in the expression 3x cubed divided by 9x?

• Multiply them together

• Divide 3 by 9

• Simplify to one-third

• Add them together

What is the result of dividing x cubed by x?

• x to the first

• x to the fourth

• x cubed

• x squared

When squaring the expression inside the parentheses, what is the result of one-third squared?

• One-sixth

• One-ninth

• One-half

• One-third

What is an alternative way to express one-ninth x to the fourth?

• x to the fourth divided by nine

• x to the fourth times nine

• Nine times x to the fourth

• x to the fourth plus nine

How do you simplify the fraction negative 4/6?

• Negative 3/2

• Negative 1/2

• Negative 4/3

• Negative 2/3

What is the result of dividing x to the fourth by x squared?

• x to the sixth

• x to the first

• x cubed

• x squared

What does y squared divided by y squared simplify to?

• y squared

• y

• 0

• 1

What is the square of negative two-thirds?

• Negative two-thirds

• Negative four-ninths

• Positive two-thirds

• Positive four-ninths

How can 4/9 x to the fourth be alternatively expressed?

• 4 times x to the fourth divided by 9

• 9 times x to the fourth divided by 4

• x to the fourth plus 4/9

• x to the fourth minus 4/9