Chapter Resources Volume 1: Chapters 1-7
CHAPTER
Date Chapter Support
3
Name
Family Letter For use with Chapter 3
Chapter Overview One way you can help your student succeed in Chapter 3 is by discussing the lesson goals in the chart below. When a lesson is completed, ask your student the following questions. “What were the goals of the lesson? What new words and formulas did you learn? How can you apply the ideas of the lesson to your life?”
Lesson Title
Lesson Goals
Key Applications
3.1 Solving Two-Step Equations
Solve two-step equations.
• Drum Set • Car Repair • Driving • Rafting • Trains
3.2 Solving Equations Having Like Terms and Parentheses
Solve equations using the distributive property.
• School Spirit • Fishing • Karaoke • Cell Phones
3.3 Solving Equations with Variables on Both Sides
Solve equations with variables on both sides.
• Spanish Club • Shopping • Toll Booth • Pasta Machine
Focus On Algebra
Rewrite literal equations and formulas.
3.4 Solving Inequalities Using Addition or Subtraction
Solve inequalities using addition or subtraction.
• Science • Triathlon • Astronauts • Bacteria • Train Travel
3.5 Solving Inequalities Using Multiplication or Division
Solve inequalities using multiplication or division.
• Geese Migration • Marathon Training • In-Line Skates • Reading • Biking
3.6 Solving Multi-Step Inequalities
Solve multi-step inequalities.
• Soccer • Ice Skating • Amusement Parks • Movie Rental • Advertising
Notetaking Strategies Summarizing is the strategy featured in Chapter 3 (see page 118). Encourage your student to put in his/her notebook summaries of the main ideas from each lesson. This method is not only an excellent tool to help prepare for end-of-year exams, but also a great step your student can take to integrate and internalize the concepts he/she has learned. This strategy can also provide a framework within your student’s mind for remembering the material much more readily in the future. Copyright © Holt McDougal. All rights reserved.
Pre-Algebra Chapter 3 Resource Book
117
Chapter Support
CHAPTER
3
Name
Date
Family Letter
Continued
For use with Chapter 3
Key Ideas Your student can demonstrate understanding of key concepts by working through the following exercises with you.
Lesson
Exercise Solve the equation. Check your solution.
3.1
(a) 43 13x 22
m 7
(b) 30 46
(c) 21 37 4t
Find the value of x for the given rectangle whose perimeter is 34 units.
3.2
x 5x 1
Solve the equation 57 3y 17 7y. Check your solution.
3.3 Focus On Algebra
Solve 9x 3y 36 for y.
3.4
Solve the inequality 9 ≥ p 12. Graph your solution.
3.5
Solve the inequality 7x > 98. Graph your solution.
3.6
Solve the inequality 5 ≥ 8. Graph and check your solution.
k 4
Home Involvement Activity Directions: Write 10 equations on the lined side of 10 index cards. Write the answers to the equations on the lined side of 10 other index cards. Mix up the cards and lay them out on a table with the lined side facing down. Flip over two cards to match the equation with its answer. When you find all the matches, you win!
3.6: k ≤ 12;
18 16 14 12 10
3 2 1 0 1 2 3 4
3.1: (a) 5 (b) 112 (c) 4 3.4: p ≤ 3;
3.2: 3 3.3: 4 3.5: x > 14;
16 14 12 10 8
Focus On Algebra: y 12 3x
Answers 118
Pre-Algebra Chapter 3 Resource Book
Copyright © Holt McDougal. All rights reserved.
Date Chapter Support
3
Name
Family Letter For use with Chapter 3
Chapter Overview One way you can help your student succeed in Chapter 3 is by discussing the lesson goals in the chart below. When a lesson is completed, ask your student the following questions. “What were the goals of the lesson? What new words and formulas did you learn? How can you apply the ideas of the lesson to your life?”
Lesson Title
Lesson Goals
Key Applications
3.1 Solving Two-Step Equations
Solve two-step equations.
• Drum Set • Car Repair • Driving • Rafting • Trains
3.2 Solving Equations Having Like Terms and Parentheses
Solve equations using the distributive property.
• School Spirit • Fishing • Karaoke • Cell Phones
3.3 Solving Equations with Variables on Both Sides
Solve equations with variables on both sides.
• Spanish Club • Shopping • Toll Booth • Pasta Machine
Focus On Algebra
Rewrite literal equations and formulas.
3.4 Solving Inequalities Using Addition or Subtraction
Solve inequalities using addition or subtraction.
• Science • Triathlon • Astronauts • Bacteria • Train Travel
3.5 Solving Inequalities Using Multiplication or Division
Solve inequalities using multiplication or division.
• Geese Migration • Marathon Training • In-Line Skates • Reading • Biking
3.6 Solving Multi-Step Inequalities
Solve multi-step inequalities.
• Soccer • Ice Skating • Amusement Parks • Movie Rental • Advertising
Notetaking Strategies Summarizing is the strategy featured in Chapter 3 (see page 118). Encourage your student to put in his/her notebook summaries of the main ideas from each lesson. This method is not only an excellent tool to help prepare for end-of-year exams, but also a great step your student can take to integrate and internalize the concepts he/she has learned. This strategy can also provide a framework within your student’s mind for remembering the material much more readily in the future. Copyright © Holt McDougal. All rights reserved.
Pre-Algebra Chapter 3 Resource Book
117
Chapter Support
CHAPTER
3
Name
Date
Family Letter
Continued
For use with Chapter 3
Key Ideas Your student can demonstrate understanding of key concepts by working through the following exercises with you.
Lesson
Exercise Solve the equation. Check your solution.
3.1
(a) 43 13x 22
m 7
(b) 30 46
(c) 21 37 4t
Find the value of x for the given rectangle whose perimeter is 34 units.
3.2
x 5x 1
Solve the equation 57 3y 17 7y. Check your solution.
3.3 Focus On Algebra
Solve 9x 3y 36 for y.
3.4
Solve the inequality 9 ≥ p 12. Graph your solution.
3.5
Solve the inequality 7x > 98. Graph your solution.
3.6
Solve the inequality 5 ≥ 8. Graph and check your solution.
k 4
Home Involvement Activity Directions: Write 10 equations on the lined side of 10 index cards. Write the answers to the equations on the lined side of 10 other index cards. Mix up the cards and lay them out on a table with the lined side facing down. Flip over two cards to match the equation with its answer. When you find all the matches, you win!
3.6: k ≤ 12;
18 16 14 12 10
3 2 1 0 1 2 3 4
3.1: (a) 5 (b) 112 (c) 4 3.4: p ≤ 3;
3.2: 3 3.3: 4 3.5: x > 14;
16 14 12 10 8
Focus On Algebra: y 12 3x
Answers 118
Pre-Algebra Chapter 3 Resource Book
Copyright © Holt McDougal. All rights reserved.
