Certainly! Let's analyze each pattern rule and identify the variables, coefficients, and constants.
### Pattern a) [tex]\( 3h + 5 \)[/tex]
- Variable: [tex]\( h \)[/tex]
- Coefficient: [tex]\( 3 \)[/tex]
- Constant: [tex]\( 5 \)[/tex]
### Pattern b) [tex]\( -2m - 4 \)[/tex]
- Variable: [tex]\( m \)[/tex]
- Coefficient: [tex]\( -2 \)[/tex]
- Constant: [tex]\( -4 \)[/tex]
### Pattern c) [tex]\( 6 + q \)[/tex]
- Variable: [tex]\( q \)[/tex]
- Coefficient: The coefficient of [tex]\( q \)[/tex] is [tex]\( 1 \)[/tex] (since [tex]\( q \)[/tex] implicitly means [tex]\( 1q \)[/tex] if no coefficient is written).
- Constant: [tex]\( 6 \)[/tex]
### Pattern d) [tex]\( 5n + 3 \)[/tex]
- Variable: [tex]\( n \)[/tex]
- Coefficient: [tex]\( 5 \)[/tex]
- Constant: [tex]\( 3 \)[/tex]
To summarize:
- For [tex]\( 3h + 5 \)[/tex]:
- Variable: [tex]\( h \)[/tex]
- Coefficient: [tex]\( 3 \)[/tex]
- Constant: [tex]\( 5 \)[/tex]
- For [tex]\( -2m - 4 \)[/tex]:
- Variable: [tex]\( m \)[/tex]
- Coefficient: [tex]\( -2 \)[/tex]
- Constant: [tex]\( -4 \)[/tex]
- For [tex]\( 6 + q \)[/tex]:
- Variable: [tex]\( q \)[/tex]
- Coefficient: [tex]\( 1 \)[/tex]
- Constant: [tex]\( 6 \)[/tex]
- For [tex]\( 5n + 3 \)[/tex]:
- Variable: [tex]\( n \)[/tex]
- Coefficient: [tex]\( 5 \)[/tex]
- Constant: [tex]\( 3 \)[/tex]
This breakdown helps us to understand and identify the components of each algebraic expression.
