#### Example 2

The following table gives algebraic expressions resulting from statements given.

Statement Algebraic expression
The product of 7 and x 7x
The product of 6, a and b 6ab
z is multiplied by 3 and then 4 is subtracted from the result 3z – 4
4 is subtracted from z and then the result is multiplied by 3 3(z – 4)
y is subtracted from the product of x and z xz – y
A number x is divided by 6 and then 3 is subtracted from the result $$\dfrac{x}{6} – 3$$
11 is subtracted from a number m and then the result is divided by 7 $$\dfrac{m\ – 11}{7}$$
A number m is divided by 11, 3 is subtracted from the result, and the result is multiplied by 6 $$6\Big(\dfrac{m}{11} – 3\Big)$$