Volume 5 Worksheets and Tests

Volume 5 Overview

270-page paperback book with 36 lessons, 36 worksheets, six chapter tests and one final test
Answer Key in the back of the book with full solutions  
If your student scores well (B+ or better) on the final test, then one credit for Algebra 1 has been earned.
Topics covered in volume 5 are typically taught in tenth grade, but we don't mention grade level in the books.
Upon purchase, you will receive a password to access a page on our website that contains printable pdf versions of every worksheet in the book.
An older student can complete this book in about three months. ​​
I'm looking for an Algebra program.  Can I start with Volume 5?
    If your student knows how to find the slope and the y-intercept of a line, and can graph a linear equation, then you may be able to jump into volume 5.  Take the prealgebra test below to see if your student knows everything we've taught in the earlier volumes.
If your student is unclear about linear equations, then start with volume 3.  You can skip volume 4, if your student knows the three special triangles and the Pythagorean Theorem, otherwise read volumes 3 - 5 to make it a solid stand-alone algebra curriculum.

Our Big, Big Bookmark is an 8 1/2" x 11" sheet that contains hints to all the most easily forgotten math concepts from volumes 1 - 4.  So, let's say you're in pre-algebra and you have to divide fractions, but you can't remember if that's when you flip the fraction or not.  Just look down at your Big, Big Bookmark and see that you flip the second fraction and then multiply straight across.  Available for purchase at our store.  Click on the button at the bottom of this page to go to our store.

Sample pages:

Scope and Sequence

Students are taught Algebra Terminology, the difference between Integers, Rational, Irrational, Real and Natural numbers.
Students will solve equations with Absolute Value.
Students will solve multiplication and division problems with terms and exponents.
Algebraic equations will be simplified by combining like term.
Learn the difference between square roots and cube roots.
Use the Laws of Algebra to multiply a term by an expression
Gain knowledge in solving equations with Monomials, Binomials and Trinomials
Use prime factorization to find cube and square roots.
Students will Factor out a Common Factor to simplify algebraic equations
Students will use our quick and easy method to factor a quadratic equation.
Gain knowledge in a perfect square and how to complete the square in a quadratic equation.
Learn how to use the Quadratic Formula.
Get an introduction to Functions.


Just checking in to let you all know again how much your curriculum has blessed our family.
My 16 year old daughter (dealing with depression & anxiety) is about halfway through Volume 5.  I want you to know that LMFS's straightforward presentation and supportive instruction to the student has made a HUGE difference in my daughter's mental health and confidence.  She completes a lesson every evening and her book is always waiting for me to check first thing in the morning.  She seldom misses a problem.  She enjoys math now and is also working harder at her other subjects as a result.  She has gained confidence that I can detect spreading into other areas of her life, like her interactions with others and how she spends her free time.  I can't tell you what an answer to prayer this has been!!!
A few weeks ago I also switched my 12 year old daughter to LMFS.  She was struggling with Singapore math and then I switched her to Saxon (which made us both cry).  I backed her up all the way to LMFS Volume 1 for a summer review and she, too, is enjoying the program and loves feeling like she is rebuilding her foundation and making steady forward progress.
LMFS has addressed some very important needs in our homeschool and I will continue singing its praises.  ~Lisa

Table of Contents

Algebra Lingo
Integers and Natural Numbers
Rational and Irrational Numbers
Variables and Coefficients
Terms, Like Terms and Expressions
Factors and Absolute Value
Review Test
Combining Like Terms
Simplifying Expressions
Multiplying with Exponents
Dividing with Exponents
Dividing Terms with Exponents
Dividing Expressions by a Single Term
You Can Only Cancel Factors - Not Terms
Squared and Cubed
Square Roots
Cube Roots
Square Root of a Fraction
Review Test
Laws of Addition
Laws of Multiplication
Review Test
Multiplying a Term by an Expression
Distributing a Negative Number
Multiplying a Term by a Trinomial Expression
Review Test
Prime Numbers
Prime Factorization
Factoring out a Common Factor
Review Test
Monomial, Binomials and Trinomials
Multiplying Binomials
Multiplying with Trinomials
Factory a Quadratic
Review Test
Recognizing a Quadratic Equation
Solving for x in a Quadratic Equation
A Perfect Square
Completing the Square
The Quadratic Formula
Intro to Functions
Final Review
Final Test