Though our programs are not in need of any reviewing, many parents have told us that they would like some extra problems for certain lessons. The following downloads include sets of additional practice problems for EACH lesson in the VideoText Interactive Algebra program. With this download you will be able to choose a specific lesson, and then print out extra problems for that lesson!

**Note: These problems will stretch your student’s thinking. You should only use these problems if your student has already mastered the concepts and only needs extra practice.
**

## Unit 1

**Part A – Mathematics as a Language
**

**Lesson 1**– Mathematical Parts of Speech

**Lesson 2**– Mathematical Expressions

**Lesson 3**– Translation of Mathematical Symbols

**Part B – Further Investigation of Number Symbols**

**Lesson 1** – The Development of Our Number System

**Lesson 2** – Fraction Forms and Decimal Forms

**Lesson 3** – Changing Fraction Forms to Decimal Forms

**Lesson 4** – Changing Decimal Forms to Fraction Forms

**Lesson 5** – Percent

**Lesson 6** – Primes, Composites, and Factoring

**Lesson 7** – Least Common Multiple

**Lesson 8** – Greatest Common Factor

**Part C – Further Investigation of Operation Symbols**

**Lesson 1** – Order of Operations

**Lesson 2** – Properties of Operations

**Lesson 3** – Properties of Operations with Special Numbers

**Lesson 4** – Operations with Fractions – Multiplication

**Lesson 5** – Operations with Fractions – Addition and Subtraction

**Lesson 6** – Operations with Fractions – Division

**Lesson 7** – Operations with Decimals

**Lesson 8** – Operations with Signed Numbers – Vectors/Absolute Value

**Lesson 9** – Operations with Signed Numbers – Addition

**Lesson 10** – Operations with Signed Numbers – Subtraction

**Lesson 11** – Operations with Signed Numbers – Multiplication/Division

**Part D – Further Investigation of Relation Symbols
Lesson 1** – Order of Numbers and the Number Line

**Lesson 2**- Properties of Equality

**Lesson 3**- Properties of Inequality

**Part E – Mathematical Models
**

**Lesson 1**– The Mathematics of Sets

**Lesson 2**– The Mathematics of Functions

## Unit 2

**Part A – Basic Equations and Inequalities****
Lesson 1** – Solution Statements and Solution Sets

**Lesson 2**– First Type – Making Zeroes

**Lesson 3**– Second Type – Making Ones

**Lesson 4**– Combinations

**Part B – Complications on Equations and Inequalities**

**Lesson 1** – Grouping Symbols

**Lesson 2** – Like Terms on the Same Side

**Lesson 3** – Placeholders on Both Sides

**Lesson 4** – Combinations – A Suggested Hierarchy

**Part C – Special Cases of Equations and Inequalities****
Lesson 1** – No Solution

**Lesson 2**– Infinite Number of Solutions

**Part D – Systems of Equations and Inequalities**

**Lesson 1** - “And”

**Lesson 2** – “Or”

**Lesson 3** – Absolute Value “Equal To” a Number (or)

**Lesson 4** – Absolute Value “Less Than” a Number (and)

**Lesson 5** – Absolute Value “Greater Than” a Number (or)

**Part E – Problem-Solving Using One Placeholder****
Lesson 1** – General Setup

**Lesson 2**– “Number” Problems

**Lesson 3**– “Consecutive Integer” Problems

**Lesson 4**– “Age” Problems

**Lesson 5**– “Geometric Figure” Problems

**Lesson 6**– “Motion” Problems

**Lesson 7**– “Percent” Problems

## Unit 3

**Part A – Solution Set for One Open Sentence****
Lesson 1** – Solution Sets For Equations

**Lesson 2**– Solution Sets For Inequalities

**Lesson 3**– Graphing Terminology

**Lesson 4**– Graphing Techniques for

*y*=m

*x*

**Lesson 5**– Graphing Techniques for

*y*=m

*x*+b

**Lesson 6**– Graphing Techniques – Intercepts

**Part B – Special Cases of Solution Sets****
Lesson 1** –

*y*=a,

*y*<a,

*y*>a

**Lesson 2**–

*x*=a,

*x*<a,

*x*>a

**Lesson 3**– Absolute Value

**Part C – Finding Relations from Solution Sets**

**Lesson 1** – Given the Slope and *y*-intercept

**Lesson 2** – Given the Slope and One Solution

**Lesson 3** – Given Two Solutions

**Lesson 4** – Given Parallel or Perpendicular Lines and One Solution

**Part D – Solution Set for a System of Two Open Sentences****
Lesson 1** – Graphic Solution for Equations

**Lesson 2**– Graphic Solution for Inequalities

**Lesson 3**– Algebraic Solution for Equations-Elimination by Addition

**Lesson 4**– Algebraic Solution for Equations-Elimination by Substitution

**Part E – Special Cases of Solution Sets for Systems****
Lesson 1** – No Solution – Inconsistent

**Lesson 2**– Infinite Number of Solutions – Dependent

**Part F – Problem-Solving Using Two Placeholders****
Lesson 1 **- General Setup

**Lesson 2**– “Number” Problems

**Lesson 3**– “Age Problems”

**Lesson 4**– “Geometric Figure” Problems

**Lesson 5**– “Motion” Problems

**Lesson 6**– “Percent” Problems

**Lesson 7**– “Value” or “Mixture” Problems

## Unit 4

**Part A – Solution Sets****
Lesson 1** – One Open Sentence

**Lesson 2**– Two Open Sentences

**Lesson 3**– Systems of Three or More Open Sentences (Algebraic Solution)

**Part B – Special Cases****
Lesson 1** – No Solution – Inconsistent

**Lesson 2**– Infinite Number of Solutions – Dependent

**Part C – Problem-Solving Using Three or More Placeholders**

**Lesson 1** – “Number Problems”

**Lesson 2** – “Age” Problems

**Lesson 3** – “Geometric Figure” Problems

**Lesson 4** – “Value” or “Mixture” Problems

## Unit 5

**Part A – Exponent Notation****
Lesson 1** – Definition and Terminology

**Lesson 2**– Operations with Powers

**Lesson 3**– Extensions of Operations with Powers

**Lesson 4**– Special Cases of Powers

**Lesson 5**– Scientific Notation

**Part B – Polynomials****
Lesson 1** – Algebraic Expressions

**Lesson 2**– Definition and Terminology

**Lesson 3**– Operations with Polynomials – Addition and Subtraction

**Lesson 4**– Operations with Polynomials – Multiplication

**Lesson 5**– Operations with Polynomials – Division

**Part C – Solving Equations and Inequalities by Factoring**

**Lesson 1** – Principle of Zero Products

**Lesson 2** – Special Products – Common Factor

**Lesson 3** – Special Products – Difference of Squares

**Lesson 4** – Special Products – Perfect Square Trinomial

**Lesson 5** – Special Products – General Trinomial

**Lesson 6 **- Special Products – Four-Term Polynomial

**Lesson 7** – Special Products – Sum or Difference of Cubes

**Lesson 8** – General Factoring Strategy

**Lesson 9** – Synthetic Division

**Lesson 10** – Literal Equations

**Part D – Problem-Solving with Higher-Order Relations****
Lesson 1** – “Number” Problems

**Lesson 2**– “Consecutive Integer” Problems

**Lesson 3**– “Geometric Figure” Problems

**Lesson 4**– “Formula” Problems

## Unit 6

**Part A – Operations****
Lesson 1** – Simplifying

**Lesson 2**– Multiplying

**Lesson 3**– Dividing

**Lesson 4**– Adding and Subtracting

**Lesson 5**– Complex Forms

**Part B – Solving Open Sentences**

**Lesson 1** – Equations (Arithmetic Case)

**Lesson 2** – Equations (Algebraic Case)

**Lesson 3** – Inequalities (Algebraic Case)

**Lesson 4** – Literal Equations

**Part C – Problem-Solving with Algebraic Fractions****
Lesson 1** – “Fraction” Problems

**Lesson 2**– “Work” Problems

**Lesson 3**– “Motion” Problems

**Lesson 4**– “Direct Variation” Problems

**Lesson 5**– “Inverse Variation” Problems

**Lesson 6**– “Mixed Variation” Problems

## Unit 7

**Part A – Rational Numbers as Exponents****
Lesson 1** – Fractions and Exponents

**Lesson 2**– Odd and Even “Kth” Roots

**Part B – Operations with Radical Expressions****
Lesson 1** – Multiplying

**Lesson 2**– Simplifying with Perfect Powers

**Lesson 3**– Dividing and Simplifying

**Lesson 4**– Adding and Subtracting

**Lesson 5**– Radical Expressions in Polynomials

**Lesson 6**– Rationalizing Denominators

**Part C – Solving Radical Equations****
Lesson 1** – Equations with One Radical Expression

**Lesson 2**– Equations with Two Radical Expressions

**Part D – Problem-Solving with Relations Containing Radical Expressions****
Lesson 1** – The “Distance” Relation

**Lesson 2**– “Formula” Problem

**Part E – The Complex Numbers as a Mathematical System****
Lesson 1** – Imaginary and Complex Numbers

**Lesson 2**– Addition and Subtraction

**Lesson 3**– Multiplication

**Lesson 4**– Division

## Unit 8

**Part A – Solving Quadratic Equations of the Form****
Lesson 1** – Suppose a = 0, b = 0, or c = 0

**Lesson 2**– Suppose a, b, c = 0

**Lesson 3**– The Quadratic Formula

**Lesson 4**– Checking Solutions

**Lesson 5**– Quadratic Inequalities

**Part B – Equations that are Quadratic in Form****
Lesson 1** – Higher Integer Order

**Lesson 2**– Lower Rational Order, Greater Than Zero

**Lesson 3**– Integer Order Less Than Zero

**Part C – Problem-Solving with Quadratic Relations****
Lesson 1** – “Geometric Figure” Problems

**Lesson 2**– “Pythagorean Theorem” Problems

**Lesson 3**– “Work” Problems

**Lesson 4**– “Motion” Problems

## Unit 9

**Part A – Parabolas – The Quadratic Function****
Lesson 1** – Origins

**Lesson 2**– The Graph of

*y*=a

*x*

^{2}

**Lesson 3**– The Graph of

*y*=(

*x*-h)

^{2}

**Lesson 4**– The Graph of

*y*=

*x*

^{2}+k

**Lesson 5**– The Graph of

*y*=a(

*x*-h)

^{2}+k

**Lesson 6**– Intercepts

**Part B – Circles****
Lesson 1** – Standard Form

**Lesson 2**– Not Standard Form

**Part C – Ellipses****
Lesson 1** – Standard Form

**Lesson 2**– Not Standard Form

**Part D – Hyperbolas****
Lesson 1** – Standard Form

**Lesson 2**– Not Standard Form

**Part E – Solving Systems of Relations****
Lesson 1** – One First-Degree and One-Second Degree

**Lesson 2**– Two Second-Degree

**Part F – Problem-Solving with Non-Linear Systems****
Lesson 1** – “Number” Problems

**Lesson 2**– “Geometric Figure” Problems

## Unit 10

**Part A – Exponential Functions****
Lesson 1 **- Graphs of Solution Sets for f(

*x*)=a

^{x}**Lesson 2**- Graphs of Solution Sets for f(

*y*)=a

^{y}**Part B – Logarithmic Functions**

**Lesson 1** – Logarithmic Functions as Inverses of Exponential Functions

**Lesson 2** – Graphs of Solution Sets for f(*x*)=log_{a}*x*

**Part C – Operations with Logarithms**

**Lesson 1** – Properties of Logarithms

**Lesson 2** – Finding Logarithms

**Lesson 3** – Computation

**Part D – Solving Open Sentences**

**Lesson 1** – Exponential Equations

**Lesson 2** - Logarithm Equations