Question

Write an algebraic expression for each verbal expression.

three times a number plus 16

Short answer

The algebraic expression is $\mathbf{3}\mathit{y}\mathbf{+}\mathbf{16}$.

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 $\frac{1}{2}b+3c$.

Step 2. Verbal expression for algebraic expression.

If verbal expressions are more than, sum, plus, increased by and added to, then the operation in algebraic expression is ‘+’ and if phrases are the product of, multiplied by, times, and of, then the operation is multiplication.

Step 3. Translate to an algebraic expression.

Let number is $y$and the word “plus” and “times” translates to the sign (+) and operation multiplication respectively.

Hence, an algebraic expression from the given verbal expression will be “$3y+16$”.

Therefore, the algebraic expression is “$3y+16$”.