Sure, let's go through each of the verbal expressions and translate them into algebraic expressions step-by-step.
6. 9 more than [tex]\( bo \)[/tex]
When we say "9 more than [tex]\( bo \)[/tex]", it means we add 9 to the variable [tex]\( bo \)[/tex]. The algebraic expression for this is:
[tex]\[ bo + 9 \][/tex]
7. the product of 9 and [tex]\( k \)[/tex]
"The product of 9 and [tex]\( k \)[/tex]" indicates that we need to multiply 9 by the variable [tex]\( k \)[/tex]. The algebraic expression for this is:
[tex]\[ 9k \][/tex]
[tex]\( x \)[/tex] decreased by 10
The phrase "[tex]\( x \)[/tex] decreased by 10" tells us that we need to subtract 10 from [tex]\( x \)[/tex]. The algebraic expression for this is:
[tex]\[ x - 10 \][/tex]
[tex]\( r \)[/tex] divided by 2
When we divide the variable [tex]\( r \)[/tex] by 2, the algebraic expression is:
[tex]\[ \frac{r}{2} \][/tex]
So, the algebraic expressions corresponding to each verbal expression are:
- 9 more than [tex]\( bo \)[/tex]: [tex]\( bo + 9 \)[/tex]
- the product of 9 and [tex]\( k \)[/tex]: [tex]\( 9k \)[/tex]
- [tex]\( x \)[/tex] decreased by 10: [tex]\( x - 10 \)[/tex]
- [tex]\( r \)[/tex] divided by 2: [tex]\( \frac{r}{2} \)[/tex]
