alg1aunit3swstudyguide1
Name: Cameron Snider
Sample Work for Algebra 1A
Unit 3: Solving Inequalities
Lesson 1: Solving Inequalities Using Addition or Subtraction
Objective: Can you use addition and subtraction to solve inequalities?
Equivalent inequalities are Inequalities that have the same solution.
Points to ponder: What is the difference between an equation and an inequality?
SHOW YOUR WORK FOR PROBLEMS 25 & 43 HERE:
Lesson 2: Solving Inequalities Using Multiplication and Division
Objective: Can you solve inequalities using multiplication and division?
An inequality is the relation between two expressions that are not equal.
Challenge: You earn $250 per month from your part-time job. You are in a kayaking club that costs $20 per month, and you save at least $100 each month. Write and solve an inequality to find the possible amounts you have left to spend each month. (Extra Credit 3.1)
SHOW YOUR WORK FOR PROBLEMS 7 & 41 HERE:
Lesson 3: Solving Multi-Step Inequalities
Objective: Can you solve multi-step inequality with one variable?
Points to ponder: How do you know which operation to perform in order to isolate a variable?
Practice work: Check off each as you do them
Watch the "Solving Multi-Step Inequalities" Teachlet® tutorial.
Go to the NLVM website to use the "Algebra Tiles" to complete the Concept Byte activity from p. 185 of your textbook.
Read pp. 186–189 in your textbook.
Click on the link to download the 3-4 Additional Problems worksheet.
It can be easy to make a mistake when solving inequalities that involve several steps. Look at p. 192 in your textbook. Problems 53 and 54 show the work of students who did not correctly solve multi-step inequalities.
Click on the link below to solve problems 53 - 54 on p. 192.
SHOW YOUR WORK FOR PROBLEMS 1 & 2 HERE FROM THE WORKSHEET:
Challenge: The elevator of a building can safely carry no more than 4000 lb. A worker moves supplies in 50-lb boxes from the loading dock to the fourth floor of the building. The worker weighs 210 lb. The cart he uses weighs 95 lb. a.
What is the greatest number of boxes he can move in one trip? b.
The worker needs to deliver 275 boxes. How many trips must he make?
(Extra Credit 3.2)
Lesson 4: Working with Sets
Objective: Can you solve a two-step equation with one variable?
The complement of a set is_______________________________________________________________
An empty set is ____________________________________________________________________
Roster form means _________________________________________________________________
Set-builder notation means __________________________________________________________
A universal set means _______________________________________________________________
Practice work: Check off each as you do them
Complete the Solve It! for Chapter 3, Lesson 4 from the PowerAlgebra website
Complete problems 1–4 from the PowerAlgebra website.
Read pp. 194–196.
Complete problems 9–27 (odd only) on pp. 197–198 to practice using set notation.
Complete the practice 3-5 quiz.
SHOW YOUR WORK FOR PROBLEMS 13 & 15 HERE:
Lesson 5: Compound Inequalities
Objective: Can you solve and graph inequalities containing the word “and” & “or?”
A compound inequality is ______________________________________________________________________
Points to ponder: How is a compound inequality different from other types of inequalities?
Practice work: Check off each as you do them
Complete the Solve It! and the Dynamic Activity for Chapter 3, Lesson 5 from the PowerAlgebra website.
Complete problems 1-5 from the PowerAlgebra website.
Read p. 200–203.
Complete problems 9–41(odd only) on pp. 204–205. Pay close attention to whether the compound inequalities are joined by “and” or “or.”
Complete the review activities on page 4 of the lesson.
SHOW YOUR WORK FOR PROBLEMS 11 & 17 HERE:
Challenge: (Extra Credit 3.3)
The student council wants to rent a ballroom for the junior prom. The ballroom’s rental rate is $1500 for 3 hours and $125 for each additional half hour. Suppose the student council raises $2125. What is the maximum
number of hours for which they can rent the ballroom?
Lesson 6: Absolute Value Equations and Inequalities
Objective: Can you solve equations and inequalities involving absolute value?
Absolute value means _________________________________________________________________
An equation is _______________________________________________________________________
An inequality is ______________________________________________________________________
A compound inequality is ______________________________________________________________
Practice work: Check off each as you do them
Complete problems 1–5 from the PowerAlgebra website.
Read pp. 207–210.
Complete problems 9–59 (odd only) on p. 211.
Complete the review activities found on page 4 of the lesson.
SHOW YOUR WORK FOR PROBLEMS 17 & 27 HERE:
Lesson 7: Unions and Intersections of Sets
Objective: Can you find the unions and intersctions of sets?
Disjoint sets are ___________________________________________________________________________
An intersection is __________________________________________________________________________
A union is ________________________________________________________________________________
Practice work: Check off each as you do them
Watch the "Unions and Intersections of Sets" Teachlet® tutorial.
Complete the Solve It! for Chapter 3, Lesson 8 from the PowerAlgebra website.
Complete problem 1 from the PowerAlgebra website.
Read pp. 214–218.
Complete problems 11–31 (odd only) on pp. 218–219.
Complete the review activities found on page 4 of the lesson.
Complete the discussion question for this lesson.
SHOW YOUR WORK FOR PROBLEMS 11 & 25 HERE:
Discussion! There is a discussion for this unit. Please remember to post your answer and reply to two others.
Lesson 8: Solving Inequalities Unit Review
Objective: Are you ready for the unit test?
Review Activities: Check off each as you do them
Review all vocabulary terms from the unit.
complete the End-of-Chapter Practice and Review for Chapter 3 from the MathXL® for School website. Complete exercises 1–19 in this activity.
Complete the even numbered problems from the Chapter Review on pp. 223–226.
The portfolio for this unit is NOT the unit review. Turn in the assignment entitled, “No Sweat!” instead.
Submit your Unit 3 Portfolio in the dropbox. Be sure to check your gradebook for any comments or feedback.
Congratulations! You have just completed the Unit 3 Sample Work Study Guide! Please review all of the pages in this document for completeness. You will now submit this document for your SW assignment for Unit 3. Please be sure to include your full name.
