Question

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

Answer 1

Answer:

Like terms: $-7y^2$ and $y^2$, $0.5kt$ and $-10kt$, $6$ and $9$

Not like terms: $-4p$ and $p^2$, $5x$ and $5$, $3ad$ and $2bd$

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

$-7y^2$ and $y^2$ are like terms because they have same variable y with same power 2.

$-4p$ and $p^2$ are not like terms because they have same variable y with different powers.

$0.5kt$ and $-10kt$ are like terms because they have same variables kt with same power 1.

$6$ and $9$ are like terms because both are constant.

$5x$ and $5$ are not like terms because one have variable and other is constant.

$3ad$ and $2bd$ are not like terms because they have different variables.

Like terms: $-7y^2$ and $y^2$, $0.5kt$ and $-10kt$, $6$ and $9$

Not like terms: $-4p$ and $p^2$, $5x$ and $5$, $3ad$ and $2bd$