Problem 94 In the following exercises, iden... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 2: Problem 94

In the following exercises, identify the coefficient of the given term. $$13 m$$

Short Answer

Expert verified

The coefficient is 13.

Step by step solution

Understand the term

First, recognize that the given term is 13m. Here, 13 is a number, and m is a variable.

Identify the coefficient

The coefficient in an algebraic term is the numerical factor. In this case, the term 13m has 13 as the numerical factor.

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Key Concepts

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

algebraic terms

An algebraic term is a combination of numbers and variables connected by multiplication. For example, in the term $13m$, $13$ is the number, and $m$ is the variable.
Algebraic terms are the building blocks of algebraic expressions.
They can be simple, like $3x$, or more complex, like $4abc$
Each term in an algebraic expression is separated by a plus (+) or minus (鈥�) sign.
Understanding these terms helps in simplifying and solving algebraic expressions.

numerical factors

A numerical factor is the number component in an algebraic term and is often referred to as the coefficient.
In the term $13m$, $13$ is the numerical factor because it multiplies the variable $m$.
Identifying the numerical factor is crucial for solving equations and simplifying expressions.
Remember, the numerical factor indicates how many times the variable is being multiplied.

In $5xy$, the numerical factor is $5$.
For $-7z$, the numerical factor is $-7$.

Recognizing these numerical factors aids in performing algebraic operations accurately.

variables

Variables are symbols used to represent unknown or changing values within algebraic terms.
These symbols are usually letters like $x$, $y$, or $m$, as seen in $13m$, where $m$ is the variable.
Variables allow us to create general formulas and expressions that can be solved for specific values.

In $3a^2b$, both $a$ and $b$ are variables.
For $4x + 5$, $x$ is the variable.

Understanding variables is essential for mastering algebraic expressions and equations.
They represent the unknown parts we typically solve for in algebraic problems.

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91影视

In the following exercises, identify the coefficient of the given term. $$13 m$$

Short Answer

Step by step solution

Understand the term

Identify the coefficient

Key Concepts

algebraic terms

numerical factors

variables

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