Question

Write an algebraic expression to represent each verbal expression.

70. the sum of 8 and 2 times a number

Short answer

The algebraic expression is .8+2x

Step-by-step solution

Step-1 – Apply the concept of Verbal and Algebraic expression and Variable

The algebraic expression is obtained from verbal expression using mathematical operators like addition $+$, subtraction $-$, multiplication $\times$, division $÷$ and many such more and variable.

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Step-2 – Example for the variable

In the expression $4x+1$, the unknown quantity is x. So, the variable in this expression is x. 4 and 1 are constants values.

Step-3 – Construct the Algebraic expression

Consider the provided verbal expression.

The sum of 8 and 2 times a number.

Let the number be x.

The mathematical operators corresponding to times ismultiplication $\times$ and to sum is addition $+$.

Express the verbal expression 2 times a number as $2x$.

Now, this obtained expression is added to number 8. The algebraic expression obtained is $8+2x$.

Hence, the algebraic expression is $8+2x$.