/*! 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 11 In Exercises 11-18, write each E... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 11

In Exercises 11-18, write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. A number decreased by the sum of the number and four

Short Answer

Expert verified
The simplified algebraic expression is \(-4\)

Step by step solution

01

Translate the English phrase into an algebraic expression

The phrase 'A number decreased by the sum of the number and four' can be converted into an algebraic expression as follows: \(x - (x+4)\), where \(x\) represents the number.
02

Simplify the expression

The expression \(x - (x+4)\) can be simplified by applying the distributive property of real numbers to remove the parentheses. This changes the sign of \(x\) and \(4\) inside the parentheses, giving: \(x - x - 4\)
03

Continue to Simplify

We subtract like terms, \(x - x\) results to 0, so the expression simplifies to \(-4\).

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!

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 the quadratic equations by factoring. \(2 x^{2}=7 x+4\)

Solve the equations using the quadratic formula. \(9 x^{2}+6 x+1=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-x-2\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-x-90\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-4 x-5\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

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.