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Chapter 2: Expressions and Equations

The Lessons in Chapter 2 

  • Terminology for the Four Operations 

  • Order of Operations 

  • Multiplying and Dividing in Parts 

  • Expressions 

  • Writing and Simplifying Expressions 1:

  • Length and Perimeter

  • More on Writing and Simplifying Expressions 

  • Writing and Simplifying Expressions 2: Area

  • The Distributive Property

  • Equations 

  • More Equations 

  • Inequalities 

  • Using Two Variables 

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TERMINOLOGY


Coefficients, Like Terms, and Constants
This page contains a short description of coefficients, like terms, and constants in response to a student's question.

Algebra Definitions
This page illustrates and defines basic algebraic terms.

Translating Words into Algebraic Expressions
Match the correct math expression with the corresponding English phrase, such as “7 less than a number”. You can do this activity either as a matching game or as a concentration game.

Escape Planet
Choose the equation that matches the words.

Writing Expressions with Variables
Practice writing algebraic expressions to match verbal descriptions of mathematical operations.

ORDER OF OPERATIONS


Order of Ops
Save members of a Royal Family from prison by using order of operation skills to build stairways.

Exploring Order of Operations (Object Interactive)
The program shows an expression, and you click on the correct operation (either +, −, ×, ÷ or exponent) to be done first. The program then solves that operation, and you click on the next operation to be performed, etc., until it is solved. Lastly, the resource includes a game where you click on the falling blocks in the sequence that the order of operations would dictate.

Order of Operations Quiz
Practice the order of operations with this interactive online quiz.

Math Operations Solitaire Game
Practice basic mental math with this math card game that you can play as one player or against the computer.

Order of Operations Practice
A simple online quiz of 10 questions. Uses parentheses and the four operations.
 

The Order of Operations Millionaire
Answer multiple-choice questions that have to do with the order of operations, and win a million. Can be played alone or in two teams.

Choose A Math Operation
Choose the mathematical operation(s) so that the number sentence is true.

MULTIPLY & DIVIDE IN PARTS


Multiply with Area Models
Use an area model to decompose factors and multiply in this interactive online activity.

Divide Mentally to Get a Decimal Quotient
Practice dividing larger whole numbers to get a decimal quotient in this interactive exercise.

EXPRESSIONS


Writing Algebraic Expressions Quiz
This multiple-choice quiz tests your knowledge of how to write algebraic expressions.

Evaluate Expressions
Practice entering values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated.

Algebra Matching Game
Match the algebraic expressions to their simplified versions.

Writing Basic Expressions for Real-World Situations
Practice writing basic algebraic expressions to model real-world situations in this interactive online exercise.

Algebraic Expressions Millionaire
For each question you have to identify the correct mathematical expression that models a given word expression.

Expressions and Variables Quiz
Choose an equation to match the word problem or situation.

Simplify Expressions Using the Distributive Property
Practice simplifying expressions with this interactive exercise.

Equivalent Expressions
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property.
 

EQUATIONS


One-Step Equations Pong
Play the traditional pong game while solving one-step equations.

Integer Games and Worksheets
This page categorizes and reviews various integer games available on the Internet.

Balance when Adding and Subtracting Game
The interactive balance illustrates simple equations. Your task is to add or subtract x’s and add or subtract 1’s until you have isolated x on one side.

Equation Match
Match simple equations that have the same solution.

Algebra Puzzle Grids
An introduction to logic and solving equations which requires pupils to find the value of symbols in a grid and complete the row and column totals.

Algebra Puzzle
Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column.

Solve Two-Step Equations
Practice solving equations that take two steps to solve in this interactive online exercise.

INEQUALITIES


Inequalities Word Problems
Practice writing inequalities with variables to describe real-world situations in this interactive online activity.

Plot Inequalities on a Number Line
Create number line graphs of inequalities in this interactive online exercise. Includes negative numbers.

Testing Solutions of Inequalities
Practice entering values of inequalities and checking to see if the inequalities hold true in this interactive online exercise.

TWO VARIABLES


Dependent and Independent Variables
Practice figuring out if a variable is dependent or independent in this interactive online activity.
 

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