2)
[tex]w^2-3,\quad w=4[/tex]When we say that w = 4, it means that we can rewrite the expression and instead of "w", we will put "4", so
[tex]w^2-3\Rightarrow4^2-3[/tex]Now we have a numerical expression to solve, we can easily solve it!
[tex]\begin{gathered} 4^2-3 \\ \\ 4\cdot4-3 \\ \\ 16-3 \\ \\ 13 \end{gathered}[/tex]Therefore, the final answer is
[tex]4^2-3=13[/tex]5)
Here we will do the same thing, the "hard" part is solving the numeric expression, it will be a little bit harder than the 2).
[tex]3(6m-17),\quad m=5[/tex]Again, repeat the same process, rewrite the expression, and instead of "m" you put "5"
[tex]3(6m-17)\Rightarrow3(6\cdot5-17)[/tex]Again, another expression to simplify, remember that we always solve what is inside ( ) first, and we have a multiplication inside ( ) so we must solve it first
[tex]3(6\cdot5-17)=3(30-17)[/tex]Now we solve the multiplication inside ( ) we can do the subctration
[tex]3(30-17)=3\cdot(13)[/tex]The last step is just to solve another multiplication
[tex]3\cdot(13)=39[/tex]Now we simplified everything we can have the final answer:
[tex]3(6\cdot5-17)=39[/tex]6)
Here we have a division, but it's similar with 5) and 2), we have
[tex]\frac{2a}{3}+13,\quad a=15[/tex]No secrets, repeat the process, but here, "a" will turn into "15", then
[tex]\frac{2a}{3}+13\Rightarrow\frac{2\cdot15}{3}+13[/tex]We can do the multiplication at the numerator of the fraction
[tex]\frac{2\cdot15}{3}+13=\frac{30}{3}+13[/tex]Now we can simplify the fraction, 30 divided by 3 is 10, then
[tex]\frac{30}{3}+13=10+13[/tex]Now just do the sum and it's done!
[tex]10+13=23[/tex]Hence the final answer is
[tex]\frac{2\cdot15}{3}+13=23[/tex]ANSWERS:
1) 43
2) 13
3) 67
4) 12
5) 39
6) 23