Question

consider the following expression,
$5x + 4y + 3$
select all of the true statements below.

• $5x + 4y + 3$ is written as a sum of three terms.
• $5x$ and $3$ are like terms.
• $5x$ is a coefficient.
• $3$ is a constant.
• $5x$ is a factor.
• none of these are true.

Explanation:

1. The expression $5x + 4y + 3$ has three parts separated by addition signs, so it is a sum of three terms.
2. Like terms have identical variable parts; $5x$ has a variable $x$ while 3 has no variable, so they are not like terms.
3. A coefficient is the numerical factor of a term; $5x$ is a full term, not a coefficient (5 is the coefficient here).
4. A constant is a term with no variable, so 3 is a constant.
5. A factor is a number/expression multiplied to form a product; $5x$ is an addend here, not a factor.

Answer:

• $5x + 4y + 3$ is written as a sum of three terms.
• 3 is a constant.