/*! 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 6 \(20 u+15 u-u\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 6

\(20 u+15 u-u\)

Short Answer

Expert verified
34u.

Step by step solution

01

Combine Like Terms

First, identify and combine like terms in the expression. All terms in this case contain the variable \(u\). So, add them together: \(20u + 15u - u\)
02

Simplify the Expression

Perform the addition and subtraction of the coefficients of \(u\): \(20 + 15 - 1 \). This gives \(34\).
03

Rewrite the Simplified Expression

Combine the simplified coefficient with the variable: \(34u\)

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.

algebraic expressions
An algebraic expression is a combination of numbers, variables, and mathematical operations. For example, in the exercise, the expression given is \(20u + 15u - u\).

These expressions can include:
  • Constants (numbers like 20 and 15)
  • Variables (letters like \(u\) that represent unknown values)
  • Operators (like + and -)
. Understanding how to work with these components is essential for solving algebra problems..

In our example from the exercise, we are focusing on combining and simplifying terms to make the expression more manageable.
simplifying expressions
Simplifying expressions means making them easier to work with by combining like terms and performing arithmetic operations. When we simplify an expression, we should look for terms that can be combined.

In the given exercise, the expression is: \(20u + 15u - u\)

Here, all the terms contain the variable \(u\). To simplify, we:
  • Combine the coefficients of \(u\) (i.e., 20 + 15 - 1).
.

To simplify:
  • Calculate: 20 + 15 - 1 = 34
  • Rewrite this as \(34u\).
.Simplified expressions are easier to understand and use in further calculations or problem-solving.
combining coefficients
Combining coefficients is an essential part of simplifying algebraic expressions. Coefficients are the numerical values in front of variables. For example, in the term \(20u\), the coefficient is 20.

Let's break it down step-by-step using our exercise:
  • We have the terms: \(20u, 15u, -u\).
  • Identify the coefficients: 20, 15, -1.
  • Add or subtract these coefficients: 20 + 15 - 1 = 34.


This results in a new expression with a combined coefficient: \(34u\).

When combining coefficients, always make sure to:
  • Pay attention to the signs (+/-).
  • Ensure you are only combining terms with the same variable.
.

This helps streamline complex algebraic expressions into simpler forms.

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

Fried's rule for infants is "Divide the age in months by 150 and multiply it by the adult dose." Assign the variables and write a formula that describes Fried's rule.

Find the circumference of a circle with a radius of \(0.5 \mathrm{in}\).

\(-8(9 x-5)-(4 x+1)\)

Problem: Complete the "Understand the problem," "Make a plan," and "Complete the plan" steps. The regular price of a 12 -cup programmable coffee maker is \(\$ 79.99\). The sale price is \(\$ 59.99\). Find the percent discount. Round to the nearest percent. Incorrect Answer: The unknown is the percent discount; \(P=\) percent discount. A word equation is percent decrease \(=\left(\frac{\text { decrease in price }}{\text { sale price }}\right)(100) \%\). $$ \begin{aligned} &P=\left(\frac{\$ 79.99-\$ 59.99}{\$ 59.99}\right)(100) \% \\ &P=33 \% \text { decrease } \end{aligned} $$

Clark's rule is "Multiply the adult dose with the weight of the child (in pounds) and divide by 150 (the average weight of an adult)." Assign the variables and write a formula that describes Clark's rule.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

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.