Prentice Hall Algebra 1

3 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Variable
You can use algebraic inequalities to represent relationships between quantities that are not equal.
Inequalities and Their Graphs (Lessons 3-1, 3-2, 3-3, 3-4, 3-6, 3-7)
c greater than or equal to negative 2
A number line has a closed circle at negative 2 and all numbers to the right are shaded.
 
2 Equivalence
You can represent an inequality in many ways. Equivalent representations have the same solutions as the original inequality.
Solving One-Step Inequalities (Lessons 3-2, 3-3)
The inequalities in each pair are equivalent.

table with 2 rows and 3 columns , row1 column 1 , f minus 4 , column 2 greater than or equal to , column 3 negative 3 , row2 column 1 , f , column 2 greater than or equal to , column 3 1 , end table

table with 2 rows and 3 columns , row1 column 1 , 6 y , column 2 less than , column 3 24 , row2 column 1 , y , column 2 less than , column 3 4 , end table

 
3 Solving Equations and Inequalities
You can use properties of inequality to transform an inequality into equivalent, simpler inequalities and then find solutions.
Solving Multi-Step Inequalities (Lesson 3-4)

table with 5 rows and 3 columns , row1 column 1 , 7 z plus 10 , column 2 less than or equal to , column 3 24 , row2 column 1 , 7 z plus 10 minus 10 , column 2 less than or equal to , column 3 24 minus 10 , row3 column 1 , 7 z , column 2 less than or equal to , column 3 14 , row4 column 1 , fraction 7 z , over 7 end fraction , column 2 less than or equal to , column 3 14 over 7 , row5 column 1 , z , column 2 less than or equal to , column 3 2 , end table

Solving Compound and Absolute Value Inequalities (Lessons 3-6, 3-7)

table with 4 rows and 3 columns , row1 column 1 , , column 2 absolute value of 3 m plus 2 , end absolute value , , column 3 less than or equal to 14 , row2 column 1 , negative 14 less than or equal to , column 2 3 m plus 2 , column 3 less than or equal to 14 , row3 column 1 , negative 16 less than or equal to , column 2 3 m , column 3 less than or equal to 12 , row4 column 1 , negative , 16 over 3 , less than or equal to , column 2 m , column 3 less than or equal to 4 , end table

Choose the correct term to complete each sentence.

  1. The set {5, 10, 15, 20, …} represents the multiples of 5 written in ?.
  2. The ? of two or more sets is the set that contains all elements of the sets.
  3. The set that contains no elements is the ?.
  4. The ? is a number that makes the inequality true.
  5. The inequalities 6 eh greater than or equal to 12  and eh greater than or equal to 2  are ?.

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments