Expanding Expressions Algebra







Example 6 2x + 5y + 3 has three terms: 2x, 5y and 3. ( x + ) 2 = x 2 + x +. The great thing is that you can always check your answer, by multiplying it out again. Learn vocabulary, terms, and more with flashcards, games, and other study tools. This Mathematics game was created by a visitor to What2Learn using our Game Machine. com is always the ideal destination to explore!. This is done for all polynomials. T Worksheet by Kuta Software LLC. Expand arithmetic part of an expression without expanding trigonometric, hyperbolic, logarithmic and special functions. Scheme of work : 1a. For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. Able to display the work process and the detailed explanation. It's much simpler to use than the Binomial Theorem , which provides a formula for expanding binomials. The best way to learn maths and to study for your maths exam is by solving example questions yourself. One of the Columns contains an algebraic expression with the following Operators "+", "-" , "+-" and "/" along with "(" and ")" "+" is additive "-" is inverse +- is XOR and. Expanding Algebraic Expressions. Expanding factorials permutations, algebra lesson plans, multiplying noncommutative matrices, factor ac method calculator, equation factorer. Normally, when we work with fractions, we want them to be in "simplest terms," or reduced all the way. Explaining How to Solve Equations. We will multiply two or more polynomials in the following order. Example 5 a + b has two terms. Ability to perform Math’s four basic operations. Factorising in to a single bracket with an algebraic and numerical factor. EXPANDING Algebraic expressions The image above represents the process of multiplying the "a" outside the bracket, by the "b" to create "ab" and then multiplying the "a" by the "c" to get "ac"; hence the answer of ab + ac. Simplifying rational expressions This calculator factor both the numerator and denominator completely then reduce the expression by canceling common factors. factor (in algebra) factor (in arithmetic) factor theorem. When it comes to online calculation, this (A+B) Formula Expander is used to find formula for (A+B) n. Expanding and removing brackets mc-TY-expandingbrackets-2009-1 In this unit we see how to expand an expression containing brackets. Now open the brackets and combine like terms which will simplify the expression. Similarly p x p x p x p = p 4. It is the reverse of expanding the bracket. to rewrite (a mathematical expression) as a sum, product, etc. 1 2 (4x ! 6) Method 1 Use a bar model. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Return from this Algebraic Expressions Millionaire Game to the Millionaire Math Games , Algebra Math Games , or Math Play. Expanding quadratic expression. This option does not prevent expansion of powers and roots. A worksheet for practising expanding single brackets e. Algebra 1 Regents Exam Topics Explained:Summary1 Algebra 1 Regents Exam Topics Explained:1. Six expressions is a rich activity for pupils who've been taught how to expand single brackets. e q HAMlXlH OrCiYglh dtpsW Gr6eZs5eTr sv1e 1da. Expanding Algebraic Expressions. When the instructions say to "expand", they mean that they've given me one log expression with lots of stuff inside it, and they want me to use the log rules to take the log apart into many separate log terms, each with only one thing inside its particular log. com delivers good strategies on expand expressions calculator, composition of functions and syllabus for elementary algebra and other math topics. In particular we must be able to expand brackets, and factorise. Solving equations by substituting values, simplifying equations, collecting like terms, factorising, removing nested brackets, changing subject of a formula and solving simple algebraic equations. Expand and simplify an expression. Expand definition, to increase in extent, size, volume, scope, etc. This style is called ClearSpeak. Ideal for KS3 and GCSE revision. Although not a specific form of a Boolean expression, we begin this section with a procedure for taking the complement of a Boolean expression. So far it looks like the first expression is greater, but it's a good idea to try other values of x and y to be sure. Expand and Simplify Algebraic Expressions. Factoring algebraic expressions Factoring algebraic expressions require a solid understanding of how to get the greatest common factor(GCF) I will not repeat the the whole process here. Expand only algebraic expressions, specified as the comma-separated pair consisting of 'ArithmeticOnly' and true or false. Using the multisensory approach, educators can reach students effectively ina fun, easily implemented way. Play below. Displaying top 8 worksheets found for - Expanding Algebraic Expressions. Instructions Use black ink or ball-point pen. Explanation text font size: Sound volume:. For example 2 1/3 means the mixed number 2 + 1/3. Broad Topics > Algebraic expressions, equations and formulae > Expanding and factorising quadratics. This option does not prevent expansion of powers and roots. Revise how to simplify algebra using skills of expanding brackets and factorising expressions with this BBC Bitesize GCSE Maths Edexcel guide. SSDD Problems Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths. Expand only algebraic expressions, specified as the comma-separated pair consisting of 'ArithmeticOnly' and true or false. This video demonstrates the quotient rule as applied to exponential expressions that appear in the form of, to use the word loosely, a fraction. Expanding Linear Expressions. These expressions have a single term on the outside of the brackets, and two Algebra terms inside the brackets. Two Term Expressions Step-by-Step Lesson- There are only two different terms here for you to work with. Type your algebra problem into the text box. 7th grade practice. Simplify Algebraic Expressions. Posted in Algebra , Expanding Brackets , Linear Equations , Resources , Simplifying expressions | Leave a comment. Submit your questions, comments, and suggestions using. In a + b the terms are a and b. Fractions, Decimals and Proportions Fraction Calculators -- "Find various calculators for adding, subtracting, multiplying, dividing, simplifing, converting, and other operations. Learn math with free math tutor online. There are several forms of Boolean expressions used for representing Boolean functions. The total area is (a +b) × (c +d) = (a + b) (c + d) It is made up of 4 smaller rectangles with areas ac, ad, bc and bd. com and read and learn about operations, mathematics and plenty additional math subject areas. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument. The expand command distributes products over sums. Product of Binomial Expressions. Expand only algebraic expressions, specified as the comma-separated pair consisting of 'ArithmeticOnly' and true or false. Expand logarithmic expressions Taken together, the product rule, quotient rule, and power rule are often called "laws of logs. Expanding Polynomials MONOMIALS MULTIPLIED BY POLYNOMIALS OBJECTIVES. expected value (expectation) experiment. com Question 1: Expand the following brackets (a) 5(y + 3) (b) 4(a + 2) (c) 8(w + 10) (d) 3(x − 7). Try the entered exercise, or type in your own exercise. The following table will help us to learn some of the words (phrases) that can be used to indicate mathematical operations: Algebraic expression word problems examples with answers. algebraic expressions. We will multiply two or more polynomials in the following order. The terms inside the brackets might be added or subtracted, depending on what is has in the original question. Forms of Boolean Expressions Introduction. For example, x+1, 3x+2y, a− b are all binomial expressions. Algebraic Expressions Millionaire for Tablets and iPads next. 2x + 10 2x + 7 x + 7 2x - 7 Question 2: What is the sequence of operations for the expression 3(x - 6) + y multiply 3 by x and subtract 18 from the result multiply 3 by x, subtract 6, then add y subtract x from 6, multiply by 3, then add y subtract 6 from x, multiply by 3, then add y. Plan your 60-minute lesson in Math or Expressions (Algebra) with helpful tips from Grant Harris. In cases where you have to have assistance on subtracting rational expressions or perhaps fraction, Polymathlove. Expand and simplify 𝑥−43=𝑥−4 𝑥−4 𝑥−4 =𝑥2−8𝑥+16 𝑥−4 =𝑥3−8𝑥2+16𝑥−4𝑥2+32𝑥−64 =𝑥3−12𝑥2+48𝑥−64 Write an expression in it’s simplest form for the volume of this cuboid. How does (x+y)^2 turn into x^2 + 2xy + y^2 what is the process to get this outcome? Thanks I know this is basic but once I get it I won’t forget. Expanding Algebraic Expressions. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step. a + b has two terms. In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). Fluency with this sort of algebraic manipulation is an essential skill which is vital for further study. ) 2n+1 is always odd. I want to use more symbols than are shown under Insert / Symbol. Find the product of a monomial and binomial. Expand logarithmic expressions Taken together, the product rule, quotient rule, and power rule are often called “laws of logs. A simple GCSE worksheet with questions covering single brackets, expanding and simplifying. 1 - Activities for teaching Expressions & Equations, including Expressions & Equations worksheets, Expressions & Equations practice problems, questions, assessments, quizzes, tests, lesson plans - aligned to Common Core and state standards - Goalbook Pathways. com is without a doubt the best place to check-out!. This can be split up into two parts as follows: Algebraic Method. algebraic expressions. Solve Linear Equations. Instructional Video: Simplifying Algebraic Expressions To the Learning Guide When your student simplifies an expression, he may need to change the order of the terms in the expression For example, in a problem like 4x + 7 + x + 3, he should group like terms 4x + x + 7 + 3 is the same as 5x + 10. net math abstract-syntax-tree symbolic-math. Algebra-expression. This algebra lesson looks at how to easily expand binomial expressions in brackets and simplify the result. These algebra worksheets feature algebraic expressions in the form of square identities. com offers valuable answers on factorising calculator, the square and algebra 1 and other math subjects. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Lesson Plan Lounge Grade 7 Algebraic Expressions Standard 1. Expanding an algebraic expression allows you to change the form of an expression without changing the output values it gives. A Fourier polynomial is an expression of the form. Substitute Into Expressions. Basic Powers Exponents and Indices. Knowing how to use the distributive law is essential for many of the algebraic calculations you will meet in your journey through secondary mathematics classes. Plan your 60-minute lesson in Math or Expressions (Algebra) with helpful tips from Grant Harris. In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). A pound of candy cost 3w + 8 dollars and a pound of chocolate cost 4w - 3 dollars. An exit card designed to support the teaching of simplifying and expanding algebraic expressions. expanding expressions with brackets In this module you will learn how to remove the brackets from algebraic expressions. The 2 in y 2 is called the power or index, and y is the base. If you are unsure, then check out our previous lessons on this material at the links below:. Created Date: 10/28/2015 11:01:54 AM. One example of this is when we have a term in front of a set of brackets, and an algebraic expression inside them. KS3 Maths Worksheet For Expanding And Simplifying Algebraic Expressions | Teachwire Teaching Resource. Math students are often asked to give their answer in "simplest terms"—in other words, to write answers as elegantly as possible. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. A binomial product has two terms in each expression eg (x + 3)(x + 7). Simplification allows a mathematician to change a complex, long, and/or awkward expression into a simpler or more convenient one that's equivalent. ) and all 1's to 0's and vice-versa. Fluency with this sort of algebraic manipulation is an essential skill which is vital for further study. So, let's say I want to simplify the expression 2(3x + 5). A simple GCSE worksheet with questions covering single brackets, expanding and simplifying. Always quickly check by expanding your answer. Okay, so you can't wait to learn how to manipulate with algebraic expressions, Order of Operations. Finding and Using the Discriminant. Distance Formula. Include as many details as possible. The best way to learn maths and to study for your maths exam is by solving example questions yourself. When a mathematical expression is complicated, it is often useful to transform the expression into a form that is easier to understand. Algebra1help. Using the multisensory approach, educators can reach students effectively ina fun, easily implemented way. You can do this by following the two steps below: 1. A term in an algebraic expression is an expression involving letters and/or numbers (called factors), multiplied together. You can select different variables to customize these Algebraic Expressions Worksheets for your needs. ( x + ) 2 = x 2 + x +. If x is 6, then the expression has a value of 15. This activity was created by a Quia Web subscriber. The Computer Algebra system must represent these equations in a canonical form, one in which only one representation exists for each equation. Year 10 Interactive Maths - Second Edition Perfect Squares. This can be split up into two parts as follows: Algebraic Method. Algebra : Factoring the GCF in Algebraic Expressions :: Algebra Theory : Factor out the greatest common factor (GCF) in algebraic expressions: 7 > 13 years: Factoring the GCF in Algebraic Expressions: Algebra Exercise : Factor out the greatest common factor (GCF) in algebraic expressions view theory: 7 > 13 years. Play below. fact family. The way you write algebra expressions is called algebraic notation. Expanding Algebraic Expressions Reflect Your expressions are equivalent, but are they different in any way? Explain. Worksheet 2:6 Factorizing Algebraic Expressions Section 1 Finding Factors Factorizing algebraic expressions is a way of turning a sum of terms into a product of smaller ones. Some more examples : 1)In the algebraic expression 5x 2 y + 7xy 2 -3xy – 4yx 2. So let's try to simplify some more expressions. After you’ve downloaded them, why not add a review or a rating so that other teachers can find out how to make the most of these resources. exponential series. T Worksheet by Kuta Software LLC. Algebra Dividing. Mathcad displays a placeholder to the left of the arrow, "→". expressions. You use the factorial operation in the formulas used to count the number of elements in the. Evaluating Algebraic Expressions Examples. Before we see how to add and subtract integers, we define terms and factors. If we expand the expression 5a(a − 2) we obtain 5 a2 − 10 a. The best source for free algebra worksheets. , 2x2 + 4x, 2x - 2y + ax - ay,. Algebra Expressions Algebra Terms Coefficients Variables and Constants. • Type expand into the placeholder. The process of taking an expression and writing it as a product of its factors is called factorisation. and we'll see we're just applying ideas that we already knew about. Free Algebra Solver and Algebra Calculator showing step by step solutions. This time, we'll try some negative values, say, and. In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). Mathcad displays a placeholder to the left of the arrow, “→”. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. (6a^2 + 21a) + (25a + 10). Expressions are simplified using the order of operations, which is a mathematical principle covering how to simplify expressions and solve problems. In this interactive math lesson, students learn how to expand linear expressions with rational coefficients by using the properties of real numbers. 1 2 (4x ! 6) Method 1 Use a bar model. pdf: File Size: Matching Algebraic Expressions (Expression, Description And Visual). factorial (of an integer) factorization. Algebra Substitution Using Negative Numbers. Expanding Algebraic Expressions Worksheet, 7 Ee 1 Worksheets, Simplify Algebraic Expressions Expand Brackets Solve Equations Applications, Expanding Algebraic Expressions Using Identities Worksheets, Algebraic Expressions Two Algebra, Expand And Simplify Algebraic Expressions By Tajhussain Teaching Resources Tes, Ks3 Maths Worksheet For Expanding And Simplifying Algebraic Expressions Teachwire. I'm trying to expand the expression it finally becomes a*b + a*c, but with no luck. Operations with Algebraic Expressions: Multiplication of Polynomials. Expanding and factoring terms: The basic rules used for reorganization of terms in an expression are. Expand arithmetic part of an expression without expanding trigonometric, hyperbolic, logarithmic and special functions. Use the settings and options below to generate the type of questions you want to include on the worksheet. Set and Interval Notation. Common logarithms. com contains practical info on free pre algebra help, solving exponential and elimination and other math subject areas. mathsmalakiss. Expand these (x+y)2! (x"y)2! The factors of the expressions are on the left hand side. Video tutorial 43 mins. Exam boards are to apply these weightings, subject to a +/-3% tolerance across the assessments for each tier in each Assessment Series. Progressions Documents for the Common Core Math Standards Funded by the Brookhill Foundation Progressions. Expanding Polynomials MONOMIALS MULTIPLIED BY POLYNOMIALS OBJECTIVES. Whatever you feel about algebra tiles, if you’re looking for a startup guide, look no further. Principal algebraic expressions and formulas Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications! - the most efficient way to navigate the Engineering ToolBox!. Product of Binomial Expressions. Simplify any Algebraic Expression - powered by WebMath. Worksheet 2:6 Factorizing Algebraic Expressions Section 1 Finding Factors Factorizing algebraic expressions is a way of turning a sum of terms into a product of smaller ones. expand To rewrite an algebraic expression without grouping symbols substitute from ART 2153 at Highline Community College. Reduce expression is simplified by grouping terms. Math Expressions / Formula Calculator. 4 Expanding Algebraic Expressions Ú¨: ^ÊÍ gÊgÚ¨ÀgÄÄ ÊÙ Í ÊsÀ:SÍ : Ês:SÍ ÀÄ® Example Arrange the bar model for 6x ! 12 into 3 equal groups to find one third of (6x ! 12). Another operation that's used with sets (but that isn't exclusive to sets) is factorial, denoted by the exclamation point. Instructions Use black ink or ball-point pen. 2x + 10 2x + 7 x + 7 2x - 7 Question 2: What is the sequence of operations for the expression 3(x - 6) + y multiply 3 by x and subtract 18 from the result multiply 3 by x, subtract 6, then add y subtract x from 6, multiply by 3, then add y subtract 6 from x, multiply by 3, then add y. eureka-math. Now we will extend the methods you know to integers and to simple positive and negative fractions. a + b has two terms. Expanding brackets. Introduction A binomial expression is the sum, or difference, of two terms. A coloring puzzle to practice simplifying algebraic expressions. Founded in 2005, Math Help Forum is dedicated to free math help and math discussions, and our math community welcomes students, teachers, educators, professors, mathematicians, and scientists. Introductory Algebra. Algebraic expressions are the phrases used in algebra to combine one or more variables (represented by letters), constants, and the operational (+ - x / ) symbols. (6a^2 + 21a) + (25a + 10). In math, expanded form can refer to any type of expression, equation or notation that is completely broken down into its individual parts. Expand and simplify the following expressions. It's much simpler to use than the Binomial Theorem , which provides a formula for expanding binomials. Setting out: Often, we set out the solution as follows: Example 5. com 1 Algebra: Simplifying Algebraic Expressions, Expanding Brackets, Solving Linear Equations, Applications. You can select different variables to customize these Algebraic Expressions Worksheets for your needs. Rewriting an expression in a different form can be useful for simplifying calculations and comparing expressions. Able to display the work process and the detailed explanation. 1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Expand only algebraic expressions, specified as the comma-separated pair consisting of 'ArithmeticOnly' and true or false. Return from this Algebraic Expressions Millionaire Game to the Millionaire Math Games , Algebra Math Games , or Math Play. Writing and Expanding Multiplication Expressions. This option does not prevent the expansion of powers and roots. Input Function 4. Identifying and Combining Like Terms. Grade 11 University Math - Homework Algebra and Rational Expressions NEW SEMESTER! Tuesday September 4, 2018 Course Outline Note: Adding and Subtracting Polynomials. Please wait while your changes are saved Create your free account. Expanding Algebraic Expressions. Try the entered exercise, or type in your own exercise. Math Expressions / Formula Calculator. Expanding binomial products. ©N N2b0 81h1 U yK fu RtCa 3 jSfo dflt tw ka WrUe7 LCL8C w. Expressions are used to write word problems in math terms. Instructions Use black ink or ball-point pen. Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Pre Calculus Equations Inequalities System of Equations System of Inequalities Polynomials Rationales Coordinate Geometry Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. When it comes to online calculation, this (A+B) Formula Expander is used to find formula for (A+B) n. Net Framework 4. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them. When the instructions say to "expand", they mean that they've given me one log expression with lots of stuff inside it, and they want me to use the log rules to take the log apart into many separate log terms, each with only one thing inside its particular log. We notice that. You might also like this algebra homework pack a good homework resource covering a variety of algebra concepts. Right from free algebra 1 teacher download to assessment, we have got all the pieces included. Expanding and removing brackets mc-TY-expandingbrackets-2009-1 In this unit we see how to expand an expression containing brackets. Instructional Video: Simplifying Algebraic Expressions To the Learning Guide When your student simplifies an expression, he may need to change the order of the terms in the expression For example, in a problem like 4x + 7 + x + 3, he should group like terms 4x + x + 7 + 3 is the same as 5x + 10. com is without a doubt the best place to check-out!. In Algebra putting two things next to each other usually means to multiply. Edexcel GCSE Mathematics (Linear) – 1MA0 ALGEBRA: EXPAND & FACTORISE Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. The next thing, when you are evaluating an algebraic expression, is to evaluate powers. After Effects CS3. Operations with Algebraic Expressions: Multiplication of Polynomials. ) to OR(+), every OR(+) to AND(. This algebra lesson looks at how to easily expand binomial expressions in brackets and simplify the result. That's where simplification comes in. 5% of their budget for federal taxes. All sorts of math terms have equivalent forms that are more intelligible. Algebraic expressions, however, don't have an equals (=) sign. Right from expanding logarithms calculator root to dividing polynomials, we have got all the pieces discussed. Any lowercase letter may be used as a variable. A Fourier polynomial is an expression of the form. When the instructions say to "expand", they mean that they've given me one log expression with lots of stuff inside it, and they want me to use the log rules to take the log apart into many separate log terms, each with only one thing inside its particular log. The description provided by the game author is shown. A binomial expression is an expression consisting of two terms. 4 log 1 2 xx Convert Log to Exponential:. Pascal's Triangle is probably the easiest way to expand binomials. The following table will help us to learn some of the words (phrases) that can be used to indicate mathematical operations: Algebraic expression word problems examples with answers. This mainly involves collecting like terms, which means that we add together anything that can be added together. Each fortnight, I will put together a selection of resources designed to help cover the objectives of the new maths curriculum for secondary schools (Key Stage 3). So let's try to simplify some more expressions. com offers valuable answers on factorising calculator, the square and algebra 1 and other math subjects. For example, the expression: f = x**2 + sqrt(y) + 7. I have found the "Ask Dr. 9 secrets of confident body language; 23 September 2019. Example 4. ) to OR(+), every OR(+) to AND(. It's much simpler to use than the Binomial Theorem , which provides a formula for expanding binomials. In both instances, a human can easily expand and re-order the equations to determine equivalence. Then click the button to compare your answer to Mathway's. Expanding Linear Expressions With Fractions. Algebra Unit 3A – Logs & Exp. factor (in algebra) factor (in arithmetic) factor theorem. Questions where the coefficient of x^2 is more than 1 are NOT. Showing top 8 worksheets in the category - Expanding Algebraic Expressions. Learn vocabulary, terms, and more with flashcards, games, and other study tools. • Algebra requires you to. In this interactive math lesson, students learn how to expand linear expressions with fractions by using an area model and the distributive property. Website collated by Jo Morgan in association with www. Expanding an expression. Examples of Binomial. Any lowercase letter may be used as a variable. com and learn variables, logarithmic functions and plenty of other algebra subject areas. We value your contributions, so we'd like to help to keep things organised and readable for you as much as we possibly can. Expand and Simplify. Look for patter. He hopes to expand his company. Therefore, go here and review how to get the GCF before you start studying this lesson. Factoring is also the opposite of Expanding:. Fourier Series: Basic Results. ” Sometimes we apply more than one rule in order to simplify an expression. Compare factor(def 10). Exponents are supported on variables using the ^ (caret) symbol. 2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Non-Calculator. Free trial available at KutaSoftware. Note: A common mistake that many students make is to multiply the exponents on powers with. Plan your 60-minute lesson in Math or Expressions (Algebra) with helpful tips from Grant Harris. ( x + ) 2 = x 2 + x +. Algebra gives you the tools to formulate and solve mathematical problems, and develop your reasoning and problem-solving skills. algebraic expressions. You use the factorial operation in the formulas used to count the number of elements in the. Expanding Algebric Expressions. A term in an algebraic expression is an expression involving letters and/or numbers (called factors), multiplied together. The Expanding Expression Tool (EET) kit is designed for preschool through high school students to support academics. Level: Easy, Moderate (3 worksheets each) Download the set (6 Worksheets). Solving an equation for an unknown:. Knowing how to use the distributive law is essential for many of the algebraic calculations you will meet in your journey through secondary mathematics classes.