Forming Algebraic Equations (Division)

Q. A number is divided by 7 and then added to the product of 5 and 2 to get 15. Derive an algebraic expression to find the number.

1. $\frac{x}{7}+5\times 2=15$
   
2. $x\times 7+5\times 2=15$
   
3. $\frac{x}{7}-5=15$
   
4. $x\times 7-5\times 2=15$
   

Q. John bought 36 eggs. How many dozen eggs did he buy?

1. 3
2. 4
3. 6
4. 12

Q. Laura has 8 pens. She decided to distribute 2 pens to each of her 'n' friends. Write an expression to find the number of friends

1. $n=8+2$
2. $n=8\times 2$
3. $n=\frac{8}{2}$
4. $n=8-2$

Q.

Express the following statements as algebraic expressions :

$45$ decreased by $m$

Q.

Raju bought $\mathrm{x}$ packet of pencils, each containing $10$ pencils. He distributed $6$ packets. Which expression shows the number of pencils left with him?

Q. Mr. Billy collected $\$5$ from each student for the excursion to Wolfe's Neck woods state park. In total, he collected $175. When all of Mr. Billy's students went on the excursion, how many students were in his class?

1. 32
2. 35
3. 38
4. 36

Q. William placed an order for eight pizzas, each with six slices. There are 12 people in the house including his friends. Derive an expression for the number of slices each would receive

1. $x=\frac{8\times 6}{12}$
2. $x=\frac{8}{12\times 6}$
3. $x=8\times 6+12$
4. $x=8\times 6-12$