Question

exercises
identify the terms and like terms in the expression.

1. ( z + 8 - 4z )
2. ( 3n + 7 - n - 3 )
3. ( 10x^2 - y + 12 - 3x^2 )

Explanation:

Step1: Analyze Expression 1 ($z + 8 - 4z$)

Terms are the parts separated by + or -: $z$, $8$, $-4z$. Like terms have the same variable (or constant). So $z$ and $-4z$ are like terms (both have $z$), $8$ is a constant term.

Step2: Analyze Expression 2 ($3n + 7 - n - 3$)

Terms: $3n$, $7$, $-n$, $-3$. Like terms: $3n$ and $-n$ (same variable $n$), $7$ and $-3$ (constants).

Step3: Analyze Expression 3 ($10x^2 - y + 12 - 3x^2$)

Terms: $10x^2$, $-y$, $12$, $-3x^2$. Like terms: $10x^2$ and $-3x^2$ (same variable $x^2$), $-y$ is a term with $y$, $12$ is a constant.

Answer:

1. Terms: $z$, $8$, $-4z$; Like terms: $z$ and $-4z$
2. Terms: $3n$, $7$, $-n$, $-3$; Like terms: $3n$ and $-n$, $7$ and $-3$
3. Terms: $10x^2$, $-y$, $12$, $-3x^2$; Like terms: $10x^2$ and $-3x^2$