Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

Math 101 Study Guide for Chapter 5: Learning Algebra, Study notes of Mathematics

Eastern Washington University (EWU)Mathematics

A study guide for chapter 5 of math 101, focusing on learning algebra. It includes tips for effective studying, instructions for adding and subtracting polynomials, multiplying monomials and binomials, and dividing polynomials. It also covers negative exponents and scientific notation.

Typology: Study notes

Pre 2010

Uploaded on 08/17/2009

koofers-user-se3
koofers-user-se3 🇺🇸

10 documents

1 / 8

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Chapter 5
Study Guide
Math 101
1. Make time in your schedule to learn; you cannot take shortcuts.
2. Read each section in your textbook and answer the questions in the study
guide before you go to class.
3. Take notes in class, trying to understand as the teacher presents
examples and explains concepts.
4. Do your homework (It should be easier after the previous two steps).
Make sure to understand what you are doing and be able to solve each
problem completely and correctly by yourself.
5. Carry on a conversation with yourself as you work, asking as you start
each problem, “What is this? What is my goal? What should my answer look
like when I am done?” Then, as you work a problem ask, “What property
allows me to take this step?” And at the end, “ Does my answer make sense?
How can I check it?”
6. Maintain a great attitude about learning Algebra; people who have a good
attitude find it easier to learn, and those who learn algebra well usually
enjoy it.
7. Go to the lab or your instructor’s office and get help when you need it.
pf3
pf4
pf5
pf8

Partial preview of the text

Download Math 101 Study Guide for Chapter 5: Learning Algebra and more Study notes Mathematics in PDF only on Docsity!

Chapter 5

Study Guide

Math 101

  1. Make time in your schedule to learn; you cannot take shortcuts.
  2. Read each section in your textbook and answer the questions in the study guide before you go to class.
  3. Take notes in class, trying to understand as the teacher presents examples and explains concepts.
  4. Do your homework (It should be easier after the previous two steps). Make sure to understand what you are doing and be able to solve each problem completely and correctly by yourself.
  5. Carry on a conversation with yourself as you work, asking as you start each problem, “What is this? What is my goal? What should my answer look like when I am done?” Then, as you work a problem ask, “What property allows me to take this step?” And at the end, “ Does my answer make sense? How can I check it?”
  6. Maintain a great attitude about learning Algebra; people who have a good attitude find it easier to learn, and those who learn algebra well usually enjoy it.
  7. Go to the lab or your instructor’s office and get help when you need it.

Section 5.1 Adding and Subtracting Polynomials Read section 5.1, pages 274 – 279 and answer the following questions as you read:

  1. What is a polynomial?
  2. Which of the following is not a polynomial? Why?

a) − 2 x^5 b) 3 x^4 − 8 x^2 + 7

c) 9 6

x (^) − x

d) x −^2 + 81 x^5 e) -

  1. For each of the polynomials: put it in standard form, identify the degree of the polynomial, and identify the leading coefficient.

Polynomial Standard Form Degree of the polynomial

Leading coefficient

6 − 7 x^2

5 x^2 + 4 − 3 x^3 + 8 x − 5 x^5

2 x^3 + 4 x − 3 x^2 + 5

5

  1. Give an example of: a. A monomial b. A binomial c. A trinomial

d. A polynomial that is not a monomial, binomial, or trinomial.

Section 5.2 Multiplying Polynomials Read section 5.2, pages 284 – 291 and answer the following questions as you read:

  1. Multiply the monomials, and then state in words how you multiply monomials. a. (2x^2 )(-3x^5 )

b. (-5x)(-x^4 )

Words

  1. Multiply the monomial by the binomials. a. 2x^3 (3x^2 +5x)

b. (2x^2 -5)(-3x)

What property did you use?

Explain clearly how you know when to add exponents.

  1. A deck is 8 feet by 8 feet. A builder wants to add 4 feet to the length and 6 feet to the width. How much additional area is added to the deck? Draw and label a picture to represent the situation.
  1. Use the distributive property to multiply (x+4)(x+6)
  2. Use the foil method to multiply (2x-1)(3x+6)
  3. Multiply the polynomials by first rewriting them vertically.

(3x^3 +4x-1)(2x^2 -x-7)

  1. Describe the special product: product of the sum and difference of two terms. How do you recognize it? Give an and multiply them.
  2. Describe the special product: square of a binomial. How do you recognize it? Give an example and multiply.

Section 5.3 Negative Exponents and Scientific Notation Read section 5.3, pages 297 – 301 and answer the following questions as you read:

  1. Rewrite with positive exponents and simplify. a. 2 -3^ b. 2x-2^ c. (^3) − 4 x

d. (^1)

2 6 −

− y

x (^) e. (4x) 0

  1. Perform the division and simplify: a. 3

6 x − (^9) b. x

x x 4

  1. Divide using long division. Explain to a study buddy what you are doing each step. 1560÷24.
  2. Divide using long division. Explain to a study buddy what you are doing

each step. (18x^2 -3x-28)÷(6x+7)

*We do not learn synthetic division in Math 101.

Chapter 5 Review

Go through the chapter review exercises on p. 316 without a paper and pencil, describing what your first step and your strategy would be in each of the problems. Circle the problems that you do not know how to start. Write five ‘hard’ problems (different types) below to work.