Understanding Terms and Coefficients in Algebraic Expressions

The video tutorial explains how to identify terms and coefficients in algebraic expressions. It begins by defining terms and coefficients, then demonstrates how to rewrite expressions to make these components more apparent. The tutorial provides examples of identifying terms and coefficients, emphasizing the importance of rewriting subtraction as addition for clarity.

What is a term in an algebraic expression?

• All of the above

• A variable

• A signed number

• A product of variables

How can subtraction be rewritten to simplify expressions?

• As division

• As multiplication

• As addition of a negative

• As a fraction

What is the first term in the expression given in the video?

• Negative t

• Two fifths x squared

• Three x

• Negative seven y

Which term in the expression is represented as two-fifths times x squared?

• Three x

• Negative seven y

• One seventh x cubed

• Two fifths x squared

How is the term x to the third divided by seven rewritten?

• One seventh x cubed

• Seven x cubed

• X cubed divided by seven

• X cubed times seven

What is the coefficient of the term negative t?

• Negative seven

• Positive one

• Zero

• Negative one

What is the coefficient of the term three x?

• Negative three

• Zero

• Three

• One

Which of the following is a correct representation of a coefficient?

• A fraction

• A product of variables

• A signed number multiplying a variable

• A variable

What is the coefficient of the term one seventh x cubed?

• Seven

• One

• Zero

• One seventh

Why is it helpful to rewrite expressions in a certain form?

• To change their meaning

• To easily identify terms and coefficients

• To make them more complex

• To make them longer