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=mx
Lesson 5 – Graphing Techniques for y=mx+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=ax2
Lesson 3 – The Graph of y=(x-h)2
Lesson 4 – The Graph of y=x2+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)=ax
Lesson 2 – Graphs of Solution Sets for f(y)=ay
Part B – Logarithmic Functions
Lesson 1 – Logarithmic Functions as Inverses of Exponential Functions
Lesson 2 – Graphs of Solution Sets for f(x)=logax
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