Introduction to Terms in Algebraic Expressions

The video introduces terms in algebraic expressions, explaining that terms can be numbers, variables, or combinations of both, separated by addition or subtraction signs. It provides examples of constants, variables, and combinations, and explains how to identify terms in expressions. The video also discusses rewriting expressions to simplify the identification of terms, especially negative ones, by converting subtraction into addition.

What are terms in algebraic expressions?

• Parts of an expression separated by multiplication or division

• Only the variables in an expression

• Parts of an expression separated by addition or subtraction

• Only the numbers in an expression

Which of the following is an example of a constant term?

• X

• a^3

• 2x

• 100

What is the value of a variable in an algebraic expression?

• It is always 1

• It is always a positive number

• It can vary

• It is always 0

Which of the following is an example of a term involving both a number and a variable?

• 7

• x

• 2x

• a^3

What is the coefficient in the term 2x?

• x

• 2

• 0

• 1

In the expression 14x + 3, what are the terms?

• 14x and 3

• x and 3

• 14 and x

• 14 and 3

In the expression 7ab^5 - 2b + 19, what is the second term?

• 7ab^5

• 19

• 2b

• -2b

How can you simplify identifying terms in an expression with subtraction?

• By converting all terms to constants

• By rewriting all subtraction as adding the opposite

• By ignoring the subtraction signs

• By multiplying all terms by -1

What is the benefit of rewriting subtraction as adding the opposite?

• It makes it easier to identify terms

• It makes the expression longer

• It eliminates negative terms

• It changes the value of the expression

In the expression 7ab^5 + (-2b) + 19, what are the terms?

• 7ab^5, 19

• 7ab^5, 2b, 19

• 7ab^5, -2b, 19

• 7ab^5, -2b