ELEMENTARY AND INTERMEDIATE ALGEBRA

Answer any six questions.

1. Find the product of

and

2. Resolve into linear factors:

2. (a)

2. (b)

2. (c)

2. (d)

3. Reduce to simplest form:

3. (a)

3. (b)

4. (a) Divide

by

4. (b) Find correct to one place of decimals the value of

5. (a) If

show that

5. (b) Two numbers are in the ratio

and if 7 be subtracted from each the remainders are in the ratio

Find the numbers.

6. Solve the equations:

6. (a)

6. (b)

6. (c)

7. A field could be made into a square by diminishing the length by 10 feet and increasing the breadth by 5 feet, but its area would then be diminished by 210 square feet. Find the length and the breadth of the field.