Answer:
1)
![22/ (9+2)=2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/buzojxdztv60o7reuxz2gi8yrz2jtrbmqr.png)
2)
![8+3\cdot 42=134](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7jg2q7ywpfjwczc3zskayhxvre3igggkxb.png)
3) Option A -
![(12+6)/(3+3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hmra4iuj629p5o0q9ngrpkukwzx9qb8xbx.png)
4) Option D -
![(75-5)* 1+4](https://img.qammunity.org/2019/formulas/mathematics/middle-school/24rgh2wntmwfj9ipvjy3omwtjndsxnwjvo.png)
Explanation:
1) Simplify
![22/ (9+2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kgx0ziojzke2qz2nhgy8dj63m7t0eb2a4f.png)
Solution :
Add the terms in bracket,
![22/ (9+2)=22/ 11](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uidclw6vafg0e97wtvdhulafkzcj4byac3.png)
Divide,
![22/ (9+2)=2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/buzojxdztv60o7reuxz2gi8yrz2jtrbmqr.png)
2) Evaluate
![8+3\cdot 42](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2geak55ql7ivv0bj0qmouwmr6m7uazems6.png)
Solution :
Solve the dot product,
![8+3\cdot 42=8+126](https://img.qammunity.org/2019/formulas/mathematics/middle-school/owc7l9jrx50v0fs3gb5s0vervtvmvhs9cr.png)
Add the terms,
![8+3\cdot 42=134](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7jg2q7ywpfjwczc3zskayhxvre3igggkxb.png)
3) Which expression has a value of 3?
Solution : Solve each expression,
A.
![(12+6)/(3+3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hmra4iuj629p5o0q9ngrpkukwzx9qb8xbx.png)
![(12+6)/(3+3)=18/ 6=3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rccneg2taxk22ycnpxers8stpmwvng6tmw.png)
B.
![(12+6)/3+3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/c62rw8eiqnemnq8s4r9kypnfxnth3v9zxq.png)
![(12+6)/3+3=18/ 3+3=6+3=9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/etmax7aq3houszk1ypiufpd1enp2vj286o.png)
C.
![12+6/(3+3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7v0clfosb8qul6ji377x5kqpdddopkchcj.png)
![12+6/(3+3)=12+6/ 6=12+1=13](https://img.qammunity.org/2019/formulas/mathematics/middle-school/s4oatcobxryvyp1g6cnh4xkc8rzrc8mr5a.png)
D.
![12+(6/3+3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xlzb61yifzk5gcsvxioy2piawx3vaszfe5.png)
![12+(6/3+3)=12+(2+3)=12+5=17](https://img.qammunity.org/2019/formulas/mathematics/middle-school/icef1wte7ec8n4h1hyui3zh8mddq0rk9ml.png)
Option A is correct.
4) Which expression has a value of 74?
Solution : Solve each expression,
A.
![(75-5)*(1+4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/c5y3x1x0cdddawhha6auvupmojx7gwik8u.png)
![(75-5)*(1+4)=70* 5=350](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9amxc0xwtqwnilxe9y480gtx7bkn6ces23.png)
B.
![75-5*(1+4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/o8e10oyxbbasmbkp0mon5hajylicnf3322.png)
![75-5*(1+4)=75-5* 5=75-25=50](https://img.qammunity.org/2019/formulas/mathematics/middle-school/e1biwc5lfzganmjmpzonnv8echykr9jq3r.png)
C.
![75-(5*1+4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uyw6doglu1hg1qk5dmw2dce7kb5n3linef.png)
![75-(5*1+4)=75-(5+4)=75-9=66](https://img.qammunity.org/2019/formulas/mathematics/middle-school/c8ndphckm6vmsruiqh4a9016wlk40385s1.png)
D.
![(75-5)* 1+4](https://img.qammunity.org/2019/formulas/mathematics/middle-school/24rgh2wntmwfj9ipvjy3omwtjndsxnwjvo.png)
![(75-5)* 1+4=70* 1+4=70+4=74](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2qqzl3emgtidnkzc42qmig6zjshagobte3.png)
Option D is correct.