Question

Write a verbal expression for each algebraic expression.

$3x^2$

Short answer

The verbal expression is3 times $\mathit{x}$the second power.

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,$2a$ and $\frac{1}{2}b$.

Step 2. Verbal expression for algebraic expression.

If the operation in algebraic expression is multiplication, then the verbal phrases that could be used to translate the algebraic expression to verbal expression are the product of, multiplied by, times, and of. Also, the expression $x$is read “$x$ to the nth power”.

Step 3. Translate to verbal expression.

Here, the word “times” can be used for multiplication.

Hence, a verbal expression from the given algebraic expression is “3 times $x$to the second power”.

Therefore, the verbal expression to represent the algebraic expression is “3 times $x$to the second power”.