Problem 116 Combine like terms. $$ -7+9 ... [FREE SOLUTION]

Chapter 1: Problem 116

Combine like terms. $$ -7+9 n-8 n $$

Short Answer

Expert verified

The simplified expression is $ -7 + n $

Step by step solution

- Identify like terms

Like terms are terms that have the same variable raised to the same power. In this expression, the like terms are the terms that contain the variable 'n': $9n$ and $-8n$. The constant term is $-7$.

- Combine the like terms

Combine the like terms that have 'n'. This means you should add $9n$ and $-8n$ together: \[ 9n - 8n = (9-8)n = 1n \text{ or simply } n \]

- Write the final expression

After combining the like terms, the simplified expression consists of the combined terms and the constant: \[ -7 + n \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Like Terms

To understand and solve algebraic expressions, recognizing like terms is crucial. Like terms are components in an expression that have identical variables raised to the same power.
In simple words, they share the same variable and exponent, allowing you to combine them through addition or subtraction.
For example, in the expression $$ 9n - 8n $$, both terms contain the variable 鈥榥鈥� raised to the first power.
Hence, they are like terms and can be combined.

Simplifying Expressions

Simplifying expressions is the process of combining like terms to make an equation easier to understand and manage.
In our example, after identifying the like terms $$ 9n $$ and $$ -8n $$, you combine them by following standard arithmetic rules.
Here, you simply subtract $$ 8n $$ from $$ 9n $$ to get $$ 1n $$, or simply $$ n $$.
Finally, combine with any constants to get a simpler and more concise expression like $$ -7 + n $$.

Algebraic Expressions

An algebraic expression is a combination of numbers, variables, and operation symbols. It can consist of constants (like -7), variables (like n), and coefficients (like 9 and -8).
Each part of the expression serves a function and helps in forming equations that model real-world situations.
In our example $$ -7 + 9n - 8n $$, you start with a more complex algebraic expression and simplify it by combining like terms to get $$ -7 + n $$.
Mastering this process is fundamental to solving more complicated algebraic equations.

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91影视

Combine like terms. $$ -7+9 n-8 n $$

Short Answer

Step by step solution

- Identify like terms

- Combine the like terms

- Write the final expression

Key Concepts

Like Terms

Simplifying Expressions

Algebraic Expressions

One App. One Place for Learning.

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