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

Writing and Evaluation Algebraic Expressions - Study Guide | MATH 101, Study notes of Mathematics

Eastern Washington University (EWU)Mathematics

Material Type: Notes; Class: BASIC/INTERMED ALG COMBINED; Subject: Mathematics; University: Eastern Washington University; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/16/2009

koofers-user-jtx-1
koofers-user-jtx-1 🇺🇸

10 documents

1 / 10

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Chapter 2
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
pf9
pfa

Partial preview of the text

Download Writing and Evaluation Algebraic Expressions - Study Guide | MATH 101 and more Study notes Mathematics in PDF only on Docsity!

Chapter 2

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 2.1 Writing and evaluating Algebraic Expressions Read section 2.1, pages 62 – 67 and answer the following questions as you read:

  1. What are symbols used to represent in Algebra?
  2. What is an algebraic expression? Give two examples of algebraic expressions different from the examples in the book.
  3. Complete the table by identifying the terms of the expressions. Expression How many terms?

List the terms separated by commas. 6 y + 7

x

5 x^2 −^2

2 x^3 + 4 x − 3 x^2 + 5 4 x − 7 y − 9 7 ( x − 4 )+ 2

  1. Identify the coefficients of the following terms. a. x b. –5x c. 7

x

  1. a. Write 35 as repeated multiplication. b. Write − 34 as repeated multiplication. c. Write ( − 3 4 ) as repeated multiplication.

d. Write (− 3 )^4 as repeated multiplication.

d. Write 3 x^4 as repeated multiplication.

e. Write ( 3 x )^4 as repeated multiplication.

f. Write ( 3 + x )^4 as repeated multiplication.

b. ( 2 y^2 )( 3 y )^2

c. x^3 + x^5

d. ( x + y^2 )^3

  1. If you made note cards in chapter 1 for each of the properties, get them out and add an algebraic example to each one. If you did not make cards in chapter 1, make one now for each property. You should have nine cards when you are done. Be sure to include a way to remember each property.
  2. Use the Distributive property to rewrite the following expressions. a. 3(x-7) b. –3(x-7) c. –3x(x-7)
  3. Draw an area model (like those in example 5) for the multiplication 3a(2a+b).
  4. What is the definition of like terms?
  5. Identify the like terms in each of the following expressions by underlining terms that are like. If other terms are also like terms, double underline them. Example: 2 x − 4 y + 3 z + 2 x^2 + 9 y − 3 x a. 3 a^2 b^ − 7 ba^2 + 14 ab^2 − 25 b^2 a b. 6 rt − 3 r^2 t + 2 rt^2 − 4 rt − 2 r^2 t
  1. Combine like terms in the last problem.

a.

b.

  1. Simplify each expression. a. –2(6x) b. 3

2 y ⋅

  1. What number must we multiply by x 5

(^2) to get x? (Hint: look at example

10a.) What property are we using?

  1. Example 11 talks about symbols of grouping. List all grouping symbols you know of.
  2. To simplify an algebraic expression means to remove symbols of grouping and combine like terms. Simplify the following expressions.

a. 5 − 4 [ 6 x + 2 x ( 3 − y )] b. ( 10 15 )

− 3 x −

Section 2.3 Algebra and Problem Solving Read section 2.3, pages 85 – 95 and answer the following questions as you read:

  1. What is algebra?
  2. How do you tell an equation from an expression?
  1. If you drive 60 miles per hour for three hours, how far have you gone? If you travel r miles per hour for t hours, write an expression for how far you have gone?

Section 2.4 Introduction to Equations Read section 2.4, pages 99 - 104 and answer the following questions as you read:

  1. What is an equation?
  2. What does it mean to solve an equation?
  3. What is an identity?
  4. What is a conditional equation?
  5. State whether each of the following is an expression, an identity, or a conditional equation and state how you know. a. 2x+4=2(x+2) b. 8-3x+4(x-7)

c. x-7=

  1. a. Determine whether 3 is a solution to the equation (^) x − 5 =− 2

b. Determine whether –3 is a solution to -4(4-x)=

  1. What are equivalent equations?
  2. List the four ways an equation can be transformed into an equivalent equation.
  3. To solve each of the following equations, state your goal, state the step you are going to take and why you are going to take it. Then solve the equation Example: x+4=2 My goal is to get x on one side of the equation by itself. I am going to subtract 4 from each side since 4 is being added to x. X+4-4=2- X=- a. x-3=-

b. 2x=

c. x/3=