Question

1. The product of 4 and x subtracted from the square of x.

2. Thrice the difference of 12 and m.

3. The quotient of p and 2 less than the product of 3 and q.

4. The square of the sum of 9 and m less n.

5. Fourteen diminished by the cube of d.

Answer 1

The question is to express the questions in algebraic form.

Answer:

1) x² - 4x

2) 3(12 - m)

3) 3q - (p/2)

4) ((9 + m) - n)²

5) 14/d³

Explanation:

1) The product of 4 and x = 4x

We want to subtract it from the square of x. Thus, we have; x² - 4x

2) Thrice the difference of 12 and m is;

3(12 - m)

3) The quotient of p and 2 is; p/2

product of 3 and q = 3q.

Expressing it in terms of the question is;

3q - (p/2)

4) sum of 9 and m less n is written as;

(9 + m) - n

Square of this is; ((9 + m) - n)²

5) the correct word is divided and not diminished.

Thus, Fourteen divided by the cube of d is; 14/d³