how many like terms

Question

-2.1x + 3.7 and 5 + 4.9x

Answer 1

To identify the like terms in the expressions $-2.1x+3.7$ and $5+4.9x$, we first need to break down the terms in each expression.

From the first expression $-2.1x+3.7$:

• The like terms are $-2.1x$ (a variable term) and $3.7$ (a constant term).

From the second expression $5+4.9x$:

• The like terms are $4.9x$ (a variable term) and $5$ (a constant term).

Now, let's identify like terms across both expressions:

1. The terms with $x$: $-2.1x$ from the first expression and $4.9x$ from the second expression are like terms since they both contain $x$.
2. The constant terms: $3.7$ from the first expression and $5$ from the second expression are like terms since they are both constants.

In total, you have:

• 2 like terms with $x$: $-2.1x$ and $4.9x$
• 2 like terms that are constants: $3.7$ and $5$

So, there are 2 sets of like terms (1 for variable terms and 1 for constant terms), but if you are counting individual like terms, there are 4 individual terms (2 variable terms and 2 constant terms).

Answer 2

like terms:
_____ 4.9x and 3.7____

Answer 3

It looks like you're trying to identify or arrange the like terms. Here's how it goes:

From the expressions you provided, the terms can be grouped as follows:

• The terms with the variable $x$: 4.9x (from the second expression).
• The constant terms: 3.7 (from the first expression).

However, in the context of identifying like terms, we should note that:

• 4.9x is a variable term.
• 3.7 is a constant term.

So, they are not like terms because one contains the variable $x$ while the other does not.

If you need a format for filling in the blanks, it might look something like this:

• Like terms: 4.9x and ___ (there are no like terms with 3.7, since it is a different type).

If you have any more specific instructions or further context, please let me know!