Question

Translate each expression.a) Eleven less than the product of a number and negative four.b) The sum of seven and the quotient of a number and eight.c) Four less than the quotient of a number and five.

Answer 1

Step 1

Given; Word problems to translate to mathematical expressions

A) Let the number be x

`\begin{gathered} Product\text{ of x and -4=-4x} \\ Eleven\text{ less than the product of -4x is -4x-11} \\ Required\text{ equation; -4x-11} \end{gathered}`

B) Let the number be y

`\begin{gathered} Th\text{e quotient of a number and eight=}(y)/(8) \\ Sum\text{ of this quotient=7+}(y)/(8) \end{gathered}`

C) Let the number be c

`\begin{gathered} The\text{ quotient of a number and 5=}(c)/(5) \\ Four\text{ less than this quotient=}(c)/(5)-4 \end{gathered}`