/*! 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 18 Write each English phrase as an ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 18

Write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. Eight decreased by three times the sum of a number and six

Short Answer

Expert verified
The phrase can be translated and simplified to the expression \( -3x - 10 \).

Step by step solution

01

Translation

Start by translating the English sentence into a rough mathematical expression. 'Eight decreased by...' can be written as \(8 - ...\). 'Three times the sum of a number and six' can be translated as \(3( x + 6)\). Finally, putting it together, we have a rough expression: \(8 - 3(x + 6)\).
02

Distribute

Next, apply the distributive property to eliminate the parentheses. This means multiplying 3 with both \(x\) and 6. So the expression becomes \(8 - 3x - 18\).
03

Simplify

Simplify the final expression by combining like terms (8 and -18). This leaves \( -3x - 10\) as the final expression.

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

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

Explain how to solve a quadratic equation using the quadratic formula. Use the equation \(x^{2}+6 x+8=0\) in your explanation.

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(4 x^{2}+16 x+15\)

Use FOIL to find the products. \((2 x-9)(7 x-4)\)

Solve the quadratic equations by factoring. \(x^{2}+9 x=-8\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Probability and Statistics

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.