Simplify the expression. n \times 4 + 90 + 23 \times 2 + n - 1

Question:

Simplify the expression.

{eq}n \times 4 + 90 + 23 \times 2 + n - 1 {/eq}

Algebraic Expression:

An algebraic expression is an expression which consists of constants, variables and algebraic operations like addition, subtraction, product and division. It can involve more than one variable with different exponents.

Answer and Explanation:

Here, the function is expressed in terms of variable {eq}n{/eq}.

The given statement can be expressed in simplified algebraic expression as

$$\begin{align} f(n) &=n\ \times\ 4\ +\ 90\ +\ 23\ \times\ 2\ +\ n\ -\ 1 \\[0.3cm] &=\ 4n\ +\ 90\ +\ 46\ +\ n\ -1&\text{ [Apply PEMDAS rule] }\\[0.3cm] &=\ 4n\ +\ n\ +\ 90\ +\ 46\ -\ 1&\text{ [Group like terms] }\\[0.3cm] &=\ 5n\ +\ 135 &\text{ [Combine like terms] } \end{align} \\ $$

Hence, the simplified expression is {eq}5n\ +\ 135 {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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