/*! 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 97 For exercises 97-100, simplify. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 97

For exercises 97-100, simplify. $$ 7(x-3)-(x+4) $$

Short Answer

Expert verified
6x - 25

Step by step solution

01

Distribute the terms

Distribute the 7 to both terms inside the parentheses: 7(x-3) = 7x - 21.
02

Distribute the negative sign

Distribute the negative sign to both terms inside the parentheses: -(x+4) = -x - 4.
03

Combine like terms

Add the distributed terms together: 7x - 21 - x - 4.
04

Simplify the expression

Combine the like terms: (7x-x) + (-21-4) = 6x - 25.

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.

Distributive Property
In algebra, the distributive property is used to simplify expressions, especially when dealing with parentheses. The basic idea is that you multiply the term outside the parentheses by each term inside the parentheses. For example, in the expression \(7(x-3)\), you multiply 7 by both x and -3. So it will be:

\[ 7(x-3) = 7 \times x + 7 \times (-3) = 7x - 21 \]
  • Always distribute every term in the parentheses.
  • Be careful with positive and negative signs.
  • Double-check your multiplication to avoid mistakes.
Mastering the distributive property helps in handling more complex algebraic expressions and equations.
Combining Like Terms
Combining like terms means to simplify an expression by adding or subtracting terms that have the same variables raised to the same power. For instance, in the expression \(7x - 21 - x - 4\), you should combine the terms with x and the constant terms separately. This process makes the expression simpler and easier to manage.

Here's how you do it:
  • \

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 \(3 x+2 y=-8\) for \(y\).

a. Solve \(d=r t\) for \(r\). b. Find the speed in miles per hour needed to travel \(240 \mathrm{mi}\) in \(3 \mathrm{hr} \mathrm{} 20 \mathrm{~min}\).

For exercises 1-8, use a number line graph to represent the inequality. $$ -7

Monitoring or participating in social networks, texting, surfing the Internet, and using other technology can affect your concentration. You might need to limit multitasking to do effective studying. List the other tasks that you can manage at the same time that you are doing math homework or studying for a math test.

Solve \(L=C-H-\frac{1}{5} T\) for \(H\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Applied 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.