ALGEBRAIC NOTATION.

13. A regiment of men is drawn up in $10$ ranks of $80$ men each, and there are $15$ men over. How many men are there in the regiment? $10\times 80+15$.

14. A regiment of men is drawn up in $x$ ranks of $y$ men each, and there are $c$ men over. How many men are there in the regiment?

Exercise 8.

1. A room is $10$ yards long and $8$ yards wide. In the middle there is a carpet $6$ yards square. How many square yards of oilcloth will be required to cover the rest of the floor? $10\times 8-6^2$.

2. A room is $x$ yards long and $y$ yards wide. In the middle there is a carpet $a$ yards square. How many square yards of oilcloth will be required to cover the rest of the floor?

3. How many rolls of paper $g$ feet long and $k$ feet wide will be required to paper a room, the perimeter of which, after proper allowance is made for doors and windows, is $p$ feet and the height $h$ feet?

4. Write six times the square of $m$, plus five $c$ times the expression $d$ plus $b$ minus $a$.

5. Write five times the expression two $n$ plus one, diminished by six times the expression $c$ minus $a$ plus $b$.

6. A lady bought a dress for $a$ dollars, a cloak for $b$ dollars, two pairs of gloves for $c$ dollars a pair. She gave a hundred-dollar bill in payment. How much money should be returned to her?

7. If a man can perform a piece of work in $4$ days, how much of it can he do in one day? $\frac{1}{4}$.

8. If a man can perform a piece of work in $x$ days, how much of it can he do in one day?

9. If A can do a piece of work in $x$ days, B in $y$ days, C in $z$ days, how much of it can they all do in one day, working together?

10. Write an expression for the sum, and also for the product, of three consecutive numbers of which the least is $n$.

11. The product of two factors is $36$; if one of the factors is $x$, what is the other factor?

12. If $d$ is the divisor and $q$ the quotient, what is the dividend?

13. If $d$ is the divisor, $q$ the quotient, and $r$ the remainder, what is the dividend?

14. If $x$ oranges can be bought for $50$ cents, how many oranges can be bought for $100$ cents?

15. What is the price in cents of $x$ apples, if they are ten cents a dozen?

16. If $b$ oranges cost $6$ cents, what will $a$ oranges cost?

17. How many miles between two places, if a train travelling $m$ miles an hour requires $4$ hours to make the journey?