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	\(6\Big(\dfrac{m}{11} – 3\Big)\)