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

$\begin{gathered} Th\text{e quotient of a number and eight=}\frac{y}{8} \\ Sum\text{ of this quotient=7+}\frac{y}{8} \end{gathered}$

C) Let the number be c

$\begin{gathered} The\text{ quotient of a number and 5=}\frac{c}{5} \\ Four\text{ less than this quotient=}\frac{c}{5}-4 \end{gathered}$