/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 30 In the expression \(6 k,\) how m... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 30

In the expression \(6 k,\) how many \(k\) 's are there?

Short Answer

Expert verified
There are six \(k\)'s in the expression \(6k\).

Step by step solution

01

Understand the Expression

The expression given is \(6k\), which means 6 times \(k\). This is a multiplication operation.
02

Break Down the Expression

In the expression \(6k\), the 6 represents the number of times the variable \(k\) is being multiplied by itself. It indicates that \(k\) is added together six times.
03

Count the Variables

Since \(6k\) represents \(k+k+k+k+k+k\), this expression contains six \(k\)'s.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Variables in Expressions
In algebra, variables are symbols or letters that stand in for unknown values. They allow us to create expressions and equations that represent various mathematical situations.
For instance, in the expression \(6k\), the letter \(k\) is a variable. It can represent any number, depending on the problem at hand. This flexibility is what makes variables so powerful in algebra.
Variables result in generalized expressions that can solve real-world problems across different contexts. Understanding how to use variables is key to mastering algebra.
Multiplication in Algebra
Multiplication in algebra works similarly to regular multiplication but is typically applied to variables and coefficients.
When you see an expression like \(6k\), it means that the variable \(k\) is being multiplied by 6. In mathematical terms, this represents repeated addition: \(k+k+k+k+k+k\).
Instead of writing out the addition several times, multiplication provides a concise way to show that a number or variable is added to itself multiple times. This streamlined process is essential for simplifying complex expressions and solving algebraic equations efficiently.
Understanding Algebraic Expressions
Algebraic expressions combine numbers, variables, and arithmetic operations to represent a value or a relationship between values. They form the backbone of algebra and are used to model real-world situations.
In the expression \(6k\), you have a straightforward algebraic expression that tells us something specific about the relationship between the number 6 and the variable \(k\).
  • The number 6 is the coefficient, which shows how many times the variable \(k\) is multiplied.
  • The variable \(k\) represents an unknown value that you'll often work to solve for in equations.
Understanding these basic components will help you create, manipulate, and solve algebraic expressions effectively. This foundational knowledge is vital for higher levels of mathematics, where expressions become more complex and abstract.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve each equation. Be sure to check each result. $$ \frac{5 m}{6}-\frac{25}{3}=0 $$

$$12 k-4=9 k-6+2 k$$

Translate each phrase or sentence to a mathematical expression or equation. Negative nine added to a number.

Translate each phrase or sentence to a mathematical expression or equation. Ten times a quantity increased by two is nine.

A person makes a mistake when copying information regarding a particular triangle. The copied information is as follows: Two sides of a triangle are the same length. The third side is 10 feet less than three times the length of one of the other sides. The perimeter of the triangle is 5 feet. What is the mistake?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.