$7$ more than $3$ times a number $\newline$ The algebraic expression is

Full solution

7

more than

3

times a number

\newline

The algebraic expression is

Identify Components: Identify the components of the algebraic expression. $\newline$ We need to translate the phrase ＂ $7$ more than $3$ times a number＂ into an algebraic expression. The phrase ＂ $3$ times a number＂ suggests multiplication, and ＂ $7$ more than＂ indicates addition.
Choose Variable: Choose a variable to represent the unknown number. $\newline$ Let's use the variable ' $x$ ' to represent the unknown number.
Translate Multiplication: Translate ＂ $3$ times a number＂ into an algebraic expression. $\newline$ ＂ $3$ times a number＂ can be written as $3x$ .
Translate Addition: Translate ＂ $7$ more than＂ into an algebraic expression. $\newline$ ＂ $7$ more than＂ means we need to add $7$ to the previous expression, so we get $3x + 7$ .
Combine Expressions: Combine the expressions to form the final algebraic expression. $\newline$ The final algebraic expression for ＂ $7$ more than $3$ times a number＂ is $3x + 7$ .