Question

Are the two terms on each tile like terms? Soft the tiles into the appropriate categories

Answer 1

The tiles can be sorted as follows:

Like Terms:

`-7y^2` and
`y^2`

-4p and
`p^2`

5x and 5

3ad and 2bd

Unlike Terms:

0.5kt and -10kt

6 and 9

Sorting into like and unlike terms

Like terms are terms that have the same variables raised to the same powers. In this case:

`-7y^2` and
`y^2`: Both involve the variable y raised to the power of 2.

-4p and
`p^2`: Both involve the variable p (p to the power of 1) or
`p^2` (p to the power of 2).

5x and 5: Though one term has a variable x and the other is a constant (5), constants are considered like terms.

3ad and 2bd: Both involve variables a and b multiplied together.

Unlike terms, on the other hand, are terms that do not share the same variables or the same powers of variables:

0.5kt and -10kt: These terms have the variable k and t, but one term has a coefficient of 0.5, and the other has -10, making them unlike terms.

6 and 9: Both are constants but are different values, so they are unlike terms.