Question

Write an algebraic expression for each verbal expression.

18 decreased by 3 times $d$

Short answer

The algebraic expression is $\mathbf{18}\mathbf{-}\mathbf{3}\mathit{d}$.

Step-by-step solution

Step 1. Algebraic Expression.

An algebraic expression is an expression that comprises sums and products of variables and numbers. For example,$2a+1$ and $\frac{1}{2}b-3c^2$.

Step 2. Verbal expression for algebraic expression.

If operation in algebraic expression is ‘–’, then the verbal phrases that could be used to translate the algebraic expression to verbal expression are less than, subtracted from, difference, decreased by and minus, and if phrases are the product of, multiplied by times, and of, then the operation is multiplication.

Step 3. Translate to an algebraic expression.

In the given verbal expression, the word “decreased by” and “times” translates to the sign (–) and operation multiplication respectively.

Hence, an algebraic expression from the given verbal expression will be “$18-3d$”.

Therefore, the algebraic expression is “$18-3d$”.