Question

which of the following are terms in this expression? select all that apply.
10 + 7k + m
6k 8m 7 7k
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Explanation:

Step1: Recall the definition of a term in an expression

A term in an algebraic expression is a single number, variable, or the product of a number and one or more variables, separated by addition or subtraction signs.

Step2: Analyze the given expression \(10 + 7k + m\)

The terms in this expression are \(10\), \(7k\), and \(m\). Now let's check the options:

• \(6k\): Not a term in \(10 + 7k + m\) as the coefficient of \(k\) is \(7\) here, not \(6\).
• \(8m\): Not a term in \(10 + 7k + m\) as the term with \(m\) has a coefficient of \(1\) (implied), not \(8\).
• \(7\): The term with the coefficient of \(k\) is \(7k\), not just \(7\) as a separate term in this expression (the constant term is \(10\)).
• \(7k\): This matches one of the terms in the expression \(10 + 7k + m\).

Answer:

7k