Algebraic Notation

Exercise 5.

1. Read $a+b$; $a-b$; $ab$; $a÷b$.

2. Write six increased by four. $6+4$.

3. Write $a$ increased by $b$.

4. Write six diminished by four. $6-4$.

5. Write $a$ diminished by $b$.

6. By how much does twenty-five exceed sixteen? $25-16$.

7. By how much does $x$ exceed $y$?

8. Write four times three; the fourth power of three. $4\times 3$; $3^4$.

9. Write four times $x$; the fourth power of $x$.

10. If one part of twenty-five is fifteen, what is the other part? $25-15$.

11. If one part of $35$ is $x$, what is the other part?

12. If one part of $x$ is $a$, what is the other part?

13. How much does ten lack of being twelve? $12-10$.

14. How much does $x$ lack of being fourteen?

15. How much does $x$ lack of being $a$?

16. If a man walks four miles an hour, how many miles will he walk in three hours? $3\times 4$.

17. If a man walks $y$ miles an hour, how many miles will he walk in $x$ hours?

18. If a man walks $y$ miles an hour, how many hours will it take him to walk $x$ miles?

Exercise 6.

1. If the dividend is twenty and the quotient five, what is the divisor? $\frac{20}{5}$.

2. If the dividend is $a$ and the quotient $b$, what is the divisor?

3. If John is twenty years old to-day, how old was he four years ago? How old will he be five years hence? $20-4$; $20+5$.