Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.2: Use The Language Of Algebra
Problem 181E: Explain the difference between an expression and equation.
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Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![Certainly! Here is the transcription of the text and explanations suitable for an educational website:
---
### Algebraic Expressions and Problem Solving
#### Expression Evaluation
**3.** Simplify the expression:
\[
(-0.3s - 2) + (5 - 3.4s) + (5r + 2)
\]
**4.** Solve the expression:
\[
\left(\frac{1}{6}p - 3\right) + (3q - 1.7) + \left(-\frac{1}{3}p + 4\right)
\]
#### Word Problem
**5.** You are collecting pairs of socks and toothbrushes for a local charity. After \(d\) days, you have collected \((4d + 5)\) pairs of socks and \((3d + 7)\) toothbrushes.
a. Write an expression that represents the total number of items that have been collected.
b. How many more pairs of socks than toothbrushes have been collected on day 7?
#### Finding Differences
**6.** Find the difference:
\[
(8.2k - 6) - (4.5 - 9k)
\]
**7.** Calculate the expression:
\[
\left(-\frac{3}{5} + 2g\right) - \left(4 + \frac{2}{3}g\right)
\]
---
This text provides several algebraic problems and a word problem designed to practice simplifying expressions and applying mathematical concepts to real-life scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F481e79c7-e014-477e-a523-c82b71c000a4%2F8c1e2a41-294c-402d-a46d-6304d31ab9ed%2F783ofb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcription of the text and explanations suitable for an educational website:
---
### Algebraic Expressions and Problem Solving
#### Expression Evaluation
**3.** Simplify the expression:
\[
(-0.3s - 2) + (5 - 3.4s) + (5r + 2)
\]
**4.** Solve the expression:
\[
\left(\frac{1}{6}p - 3\right) + (3q - 1.7) + \left(-\frac{1}{3}p + 4\right)
\]
#### Word Problem
**5.** You are collecting pairs of socks and toothbrushes for a local charity. After \(d\) days, you have collected \((4d + 5)\) pairs of socks and \((3d + 7)\) toothbrushes.
a. Write an expression that represents the total number of items that have been collected.
b. How many more pairs of socks than toothbrushes have been collected on day 7?
#### Finding Differences
**6.** Find the difference:
\[
(8.2k - 6) - (4.5 - 9k)
\]
**7.** Calculate the expression:
\[
\left(-\frac{3}{5} + 2g\right) - \left(4 + \frac{2}{3}g\right)
\]
---
This text provides several algebraic problems and a word problem designed to practice simplifying expressions and applying mathematical concepts to real-life scenarios.
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