Three times r Learn how to translate text into algebraic equations, and see examples that walk through sample problems step-by-step for you to improve your math knowledge 837+ Math Tutors 79% Recurring customers WebTranslate the problem into mathematical expressions or equations, Symbolab is the best calculator for solving a wide range of word problems Translating Words Into Algebraic Expressions Solver Translate each sentence into an equation. Adding and Subtracting Fractions \) Roots Paola Randy, IN, I'm not much of a math wiz but the Algebrator helps me out with fractions and other stuff I need to know for my math appreciation class in college. Decimals and Fractions To solve a math equation, you need to find the value of the variable that makes the equation true. Eight less than three times a number is -23. I recommend the Algebrator to students who need help with fractions, equations and algebra. An unknown quantity is subtracted from eleven and the result is five less than the unknown quantity. Mathematical Terms WebReplace is with an equals symbol (=) . Half of the j minus 5 This video goes over 8 examples, covering the proper way to translate sentences usually containing the key word WebTranslate this sentence into an equation calculator - Translate this sentence into an equation calculator can help students to understand the material and. For example, 4 and 4 are square roots of 16, because 4 = (4) = 16. Model with one-step equations. WebThis calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them Translating A Sentence Into One Step Equation You. Fields Medal Prize Winners (1998) Three times r. An online algebra calculator simplifies expression for the input you given in the input box. 05/09/18. Step 1. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer. The table below reminds us of some of the words that translate to the equal sign. Get this widget. Solving Linear Systems of Equations by Elimination Positive Integral Divisors SOLUTION: Rewrite the verbal sentence so it is easier to translate. Eight less than three times a number is -23. Standard Form of a Line The best way for you to learn to solve word problems is to practice to translating the words into math problems. Try the Free Math Solver or Scroll down to Tutorials! Nine9 9999999% of the time, easy to use and This result is then divided by fifteen. Translate the words to the left of the equals word into an algebraic expression. Fractional Exponents Accept cookies within the '%CC%' category to view this content. Math is the study of numbers, shapes, and patterns. WebTranslating Words Into an Algebraic Equation and Solving This pre-algebra video tutorial explains the process of translating sentences into equations and writing two step These cookies may track your personal data. WebTranslate each equation into a sentence. Translate and solve: Two-thirds of [latex]f[/latex] is [latex]18[/latex]. Message received. Mathematical Terms Five times a number is that number minus two. The difference of [latex]y[/latex] and [latex]14[/latex] is [latex]18[/latex]. Homework Support Online is a great resource for students who need help with their homework. Multiply both sides by [latex]\Large\frac{5}{6}[/latex] to isolate [latex]m[/latex] . To solve a linear equation, get the variable on one side of the equation by using inverse operations. Message received. Jonathan McCue, OH, If it wasnt for Algebrator, I never would have been confident enough in myself to take the SATs, let alone perform so well in the mathematical section (especially in algebra). Supply the missing word. Math Homework. Adding Fractions Seven more than some number is five more than twice the number. Seven times two more than a number is twenty-one. Subtracting Rational Expressions with the Same Denominator A number is added to six and that result is multiplied by thirteen. Like Radical Terms Given information. A number minus five is divided by twice the number plus three and the result is seventeen. }, \mathrm{Bob's\:age\:is\:twice\:that\:of\:Barry's.\:Five\:years\:ago,\:Bob\:was\:three\:times\:older\:than\:Barry.\:Find\:the\:age\:of\:both. Looking for a little help with your homework? Our website uses analytical cookies to make it possible to analyze our website and optimize for the purpose of a.o. To write algebraic expressions and equations. Solve Simplify Factor Expand Graph GCF LCM. We look for clue words that mean equals. Multiplying Monomials Addition with Negative Numbers Translate the sentence into an algebraic equation: The sum of [latex]6[/latex] and [latex]9[/latex] is [latex]15[/latex]. Graphing Solutions of Inequalities SOLUTION: Rewrite the verbal sentence so it is easier to translate. If the phrase had appeared as "three times the number, minus twelve," the result would have been Subtract [latex]3[/latex] from both sides of the equation. + means plus - means minus * means times / means division exponent of 2 means squared exponent of 3 means cubed WebReplace is with an equals symbol (=) . The entire result is equal to fifty-nine. Adding, Subtracting and Multiplying Polynomials When a number is divided by four, the result is sixty-eight. The word twice generally means two times, so 2*y (because y comes next in the sentence). Rational Exponents Multiplication by 572 Model with one-step equations and solve. WebSolving Quadratic Equations by Completing the Square Graphing Exponential Functions Decimals and Fractions Adding and Subtracting Fractions Adding and Subtracting Rational Solving Systems of Equations Webtranslate to " "represents amounts is equal is equals = Once the sentence is translated into an equation, the equation can be simplified to one of the form variable = constant and the Eight less than three times a number is -23. This problem has been solved! Some phrases and sentences do not translate directly. WebThe first step is to look for the word (or words) that translate (s) to the equal sign. Simplifying Products and Quotients Involving Square Roots \end{array}\), \(\underbrace{\underbrace{\text { A number }}_{x} \underbrace{\text { multiplied by }}_{\text {, }} \underbrace{\text { ten more than itself }}_{(10+x)} \underbrace{\text { is }}_{=} \underbrace{\text { twenty. \(\underbrace{\underbrace{\text { A number divided by five, }}_{(\mathrm{x} \div 5)} \underbrace{\text { minus }}_{-} \underbrace{\text { ten, }}_{10} \underbrace{\text { is }}_{=} \underbrace{\text { fifteen. Factoring Trinomials Solving Equations with Fractions This video goes over 8 examples, covering the proper way to translate sentences usually containing the key word \"is\" into equations.#algebra #math #school0:00 Introduction0:52 Example 11:35 Example 22:18 Example 32:51 Example 43:32 Example 54:30 Example 65:11 Example 75:36 Example 8Website, Worksheets and Equation Sheetshttp://www.mathfortress.com/Math Fortress Merchandisehttps://teespring.com/stores/mathfortressWatch Videos Ad Free!Udemy: http://www.udemy.com/u/mathfortress/Curious.com : https://curious.com/?ref=FebpNqD89ZASkillShare: https://www.skillshare.com/r/user/mathfortressAmazon Prime Video: https://www.amazon.com/v/mathfortressSocial MediaFacebook: http://www.facebook.com/MathFortressTwitter: https://twitter.com/MathFortressGoogle+: https://plus.google.com/+MathFortresssPinterest: http://pinterest.com/mathfortressTumblr: http://mathfortress.tumblr.comInstagram: https://www.instagram.com/mathfortressDonate (Help Strengthen the Fortress! if [latex]a=b[/latex], then [latex]a+c=b+c[/latex]. A number divided by itself, plus one, results in seven. Social mediaOur website places social media cookies to show you 3rd party content like YouTube and FaceBook. Such a lovely platform for those who are starting to love Mathematics. The entire result is equal to six. Question: Translate each sentence into an equation. Axis of Symmetry and Vertex of a Parabola Solve Simplify Factor Expand Graph GCF LCM. }{=}3\Large\frac{1}{2}[/latex], [latex]3\Large\frac{4}{8}\normalsize\stackrel{? Radical Notation We will solve the equations by using the Subtraction and Addition Properties of Equality. The program is a great tool! 1. -a, \text { if } a<0 And the statement, is 29, can be expressed as 29. Translate the given sentence into an equation. 1. WebTranslate each equation into a sentence. In order to determine what the math problem is, you will need to look at the given information and find the key details. These cookies may track your personal data. the usability. We look for clue words that mean equals. See the dr this app will solve problems calculators won't and it's free, I love it and you should too. Three times r. An online algebra calculator simplifies expression for the input you given in the input box. This calculator has 1 What 7 formulas are used for the Verbal Phrase Calculator? Quadratic Expressions Completing Squares Below you can choose which kind of cookies you allow on this website. Ratios and Proportions We have a sentence The sum of q and four times t is equal to 29. Utterly fantastic app, it's wonderful and creative , other than that, great app, 11/10. An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. Word problems in math can be identified by the use of language that describes a situation or scenario. WebThe printable translating phrases worksheets in this page provide prolific practice to 6th grade, 7th grade, and 8th grade students on expressing the phrases as algebraic expressions like linear expressions, single & multiple variable expressions, and writing the sentences as equations and inequalities. Ten divided by two more than a number is twenty-one. By doing this, you can better understand what each part of the equation is doing and how it all fits together. this page will help you to solve Factors and Prime Numbers For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Rationalizing the Denominator Three times r less than 15 equals 6. AdvertisingOur website places advertising cookies to show you 3rd party advertisements based on your interests. Twice a number added to six results in thirty. The word from often appears in such phrases and sentences. What 13 formulas are used for the Algebraic Expressions Calculator? This calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them(increased,product,decreased,divided,times) Reducing Fractions to Lowest Terms The focus right now is just to translate the words into algebra. Translate the following phrases and sentences into mathematical expressions or equations. \\ A number divided by sixteen, plus one, is five. Figure out math question The result is eighty-four. This result is then divided by three more than the number. I have the chance to go to college, something no one in my family has ever done. [latex]\Large\frac{-144}{6}\normalsize\stackrel{?}{=}-24[/latex]. To simplify equations, combine like terms, remove parethesis, use the order of operations. A number is added to itself then divided by three. Multiplying Radicals Imaginary Solutions to Equations Math > 6th grade Google Classroom. \end{aligned} How Do You Turn Word Problems Into Equations Calculator For Math Help. CC licensed content, Specific attribution. WebTranslate each sentence into an equation. Ten times a number minus one is divided by fourteen and the result is one. See the dr this app will solve Three times r less than 15 equals 6. \( Solve Simplify Factor Expand Graph GCF LCM. Powers Rationalizing the Denominator nine times a number. Translate the sentence into an algebraic equation: Twice the difference of [latex]x[/latex] and [latex]3[/latex] gives [latex]18[/latex]. Is the sum of three-eighths and [latex]3\Large\frac{1}{8}[/latex] equal to three and one-half? Well list them all together here for easy reference. It says of both Barbara and Adam that they are athletic, and in English we use the word athletic only once. Home [latex]\Large\frac{\LARGE\frac{5}{8}}{\LARGE\frac{5}{6}}\stackrel{? Our website places 3rd party cookies from other 3rd party services which aren't Analytical, Social media or Advertising. It really is remarkable! Simplifying Square Roots That Contain Whole Numbers Solution So x = 44 x = 44 is the solution. Simplifying Radicals Fractions In the next few examples, well translate sentences that contain fractions Explain mathematic tasks One plus one is two. This math worksheet was created on 2019-02-08 and has been viewed 1,796 times this week and 776 times this month. Once you answer a word problem the answer is shown in a proof. Locate the equals word (s). Square Roots of Negative Complex Numbers WebThe inequality calculator simplifies the given inequality. Twenty-three is divided by two less than twice some number and the result is thirty-four. Completing the square method is a technique for find the solutions of a quadratic equation of the form ax^2 + bx + c = 0. Systems of Equations That Have No Solution or Infinitely Many Solutions Nine9, Unlike expressions, algebraic equations contain an equal sign. WebTranslate " x multiplied by 13 " into an algebraic expression. WebIn mathematics, a square root of a number x is a number y such that y = x; in other words, a number y whose square (the result of multiplying the number by itself, or y y) is x. 60 60 6 0 60 is 5 5 5 5 times as great as k k k k. Solve for k k k k. k = k= k = k, equals / / / / / /. Welcome to The Translating Algebraic Phrases (Simple Version) (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills.com. WebTranslate and solve: The sum of three-eighths and x x is three and one-half. Translation (i) : The Age of the father -----> x is -----> = Thrice the sum of the ages of his two sons -----> 3y Equation related to the first information using x and y is x = 3y ----- (1) Twelve divided by twice a number is fifty-five. A number plus six, divided by two, plus five, is forty-three. Simplifying Square Roots That Contain Variables Practice Problems: Translate each phrase into an algebraic expression. Sometimes the structure of the sentence indicates the use of grouping symbols. Solving Exponential Equations WebNow lets practice translating sentences into algebraic equations and then solving them. \begin{aligned} If you're having trouble understanding a math problem, try clarifying it by breaking it down into smaller, simpler steps. WebAlgebraic Expressions Calculator. Translate and solve: Three more than [latex]x[/latex] is equal to [latex]47[/latex]. Solving Quadratic Inequalities Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Also if you still can't figure out why stuff is the way it is, khan academy and youtube is a good help. Also known as Mathematical phrases, the product of seventeen and a number divided by five, twelve less than three times a number squared, Use a plus sign for: Plus, Added to, Increased, Use a minus sign for:Minus, Subtracted by, Decreased by, Reduced by, Diminished by, Use a multiplication sign for: Times, Multiplied by, The product of, Use a division sign for: Divided by, Over, The quotient of, Use an equation sign for: Equals, Is equal to, Is the same as, Is, Use a do not equal sign for: Does not equal, Is not equal to, Is not the same as, Is not. }, \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}. WebStep by Step Solution. Multiply both sides by [latex]\Large\frac{3}{2}[/latex] . Translate equation. Use the Subtraction Property of Equality to subtract [latex]\Large\frac{3}{8}[/latex] from both sides. Some words that translate to the equal sign are: It may be helpful to put a box around the equals word(s) in the sentence to help you focus separately on each phrase. WebStep by Step Solution. Simplifying Fractions 1 Order and Inequalities Is the quotient of [latex]\Large\frac{5}{8}[/latex] and [latex]\Large\frac{5}{6}[/latex] equal to [latex]\Large\frac{3}{4}[/latex] ? l = w + 4. 1. Ppt Translate WebTranslate each sentence into an equation. The sentence of the given equation is ''The sum of twenty-five times the square of u and 2 is equal to 15''. Translate and solve: The sum of three-eighths and [latex]x[/latex] is three and one-half. Algebraic Expressions Calculator. Show Solution. Two more than twice a number is one half the number less three. Multiplying Polynomials A number is equal to itself plus four times itself. Calculator designed to balance chemical equations with results of: the balanced equation, word equation, and how it happened. WebTranslate this sentence into an equation calculator - Translate this sentence into an equation calculator can help students to understand the material and. The first property of equality we will use is multiplication. Adding Rational Expressions with the Same Denominator The location of the word is tells us that the equal sign goes between 7 and 56. Get math assistance online If you need We write the answer as a mixed number because the original problem used a mixed number. Midpoint of a Line Segment A number divided by two more than itself is zero. Ten times a number is eight more than five times the same number. Thank you . Write the = sign. the quotient of 10 x and 3. divide 10 x by 3. Solving Nonlinear Equations by Factoring I enjoy doing mathematical problems because they help me to improve my mental agility and analytical skills. Send feedback | Visit Wolfram|Alpha WebThe length is 4 more than the width. Subtracting Mixed Numbers with Renaming [latex]y-14\color{red}{+14}=18\color{red}{+14}[/latex], Translate statements into algebraic equations involving addition, subtraction, multiplication, and division. This method involves completing the square of the quadratic expression to the form (x + d)^2 = e, where d and e are constants. Algebraic Sentences Word Problems Chilimath. The word from indicates the motion (subtraction) is to begin at the point of "some quantity.". Translate and solve: [latex]n[/latex] divided by [latex]6[/latex] is [latex]-24[/latex]. Three times r. An online algebra calculator simplifies expression for the input you given in the input box. Adding and Subtracting Rational Expressions with Unlike Denominators How To Translate A Sentence Into 1 Step Equation Algebra Study Com. Multiplying by 14443 Fifty-two is subtracted from some quantity. How To Translate A Sentence Into 1 Step Equation Algebra Study Com. Eight less than some quantity. \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe? Translate and solve: The difference of [latex]y[/latex] and [latex]14[/latex] is [latex]18[/latex]. Translate the problem into mathematical expressions or equations, Symbolab is the best calculator for solving a wide range of word problems. Jane is two years older than Alice. The result is one. Mathematicians work to clear up the misunderstandings and false beliefs that people have about mathematics. )PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick\u0026hosted_button_id=AH6HCHUED4H9CBitcoin (BTC): 16NaDKvXa25TuQQ9813CtoWHGrn4g7urQpBitcoin Cash (BCH): 12TvhGQk1wATXpoQcDJCa7Yc9UAnks91KkEthereum (ETH): 0x99d0295e78147b920fE493cC876a74fBC53EECB7Ethereum Classic (ETC):0x34f33324b36A6041a128A28e66a99Fd117FCe99aLitecoin (LTC): LdvzBC4nTx1ERu6QwbhVaBU4n1UPYs2jMEBasic Attention Token (BAT): 0xFE106dBe54B11F990D93b372dBE5d38E9615196FZcash (ZEC): t1NUxoiQZSJENppQyJDhiBK1K2Vqrnz1gUzDai (DAI): 0xc3aB4726c0471286999CEba19D270Cb9aBfE3Ad5Ripple (XRP): Wallet: rw2ciyaNshpHe7bCHo4bRWq6pqqynnWKQg | XRP Tag: 2344320842Augur (REP): 0xAA329a15407B3F8d0b5A4160BF6B8F0D7296b1fAStellar (XLM): Wallet: GDQP2KPQGKIHYJGXNUIYOMHARUARCA7DJT5FO2FFOOKY3B2WSQHG4W37 | XLM Memo: 1165331293481582198EOS (EOS): Wallet: coinbasebase | EOS Memo: 3145873237STEEM: mathfortress These cookies are necessary to let our website work. A couple of them even bought the program to help them out with their algebra homework. Solution [latex]\Large\frac{m}{\LARGE\frac{5}{6}}=\Large\frac{3}{4}[/latex]. WebAlgebraic Expressions Calculator When you add, subtract, multiply or divide the same quantity from both sides of an equation, you still have equality. click to accept all cookiesAccept %CC% cookies, CC licensed content, Specific attribution. You will get the final answer in inequality form and interval notation. WebTranslate each sentence into an equation. Solving Radical Equations FOIL Multiplying Polynomials }}_{20}}_{x(10+x)=20}\), A number plus one is divided by three times the number minus twelve and the result is four. }\), \(\underbrace{\underbrace{\text { Fifteen }}_{15} \underbrace{\text { minus }}_{15} \underbrace{\text { a number }}_{x}}_{15-x} \text { . Translate each phrase or sentence into a mathematical expression or equation. Our support team is available 24/7 to assist you. Rules for Integral Exponents Multiply the first fraction by the reciprocal of the second. 3 8 Simple Partial Fractions Click on the sentences below to translate them into equations. WebTranslate The Following Sentence Into An Equation Welcome to our step-by-step math solver! WebThis method involves completing the square of the quadratic expression to the form (x + d)^2 = e, where d and e are constants. Solved O Equations And Inequalities Translating A Sentence Chegg Com. Translate the An online algebra calculator simplifies expression for the input you given in the input box. Rational Expressions }\), \(\underbrace{\underbrace{\text { A quantity }}_{y} \underbrace{\text { less }}_{-} \underbrace{\text { eight. Default cookie settingsSave cookie settings, This content is blocked. Example Solving Rational Equations A number is increased by one and then multiplied by five times itself. WebAlgebraic Expressions Calculator When you add, subtract, multiply or divide the same quantity from both sides of an equation, you still have equality. 1. Factoring General Polynomials Sentence 13 says one thing about two different subjects. WebTranslate this sentence into an equation calculator - Translate this sentence into an equation calculator can help students to understand the material and. WebTranslate each sentence into an equation calculator. See the dr this app will solve problems calculators won't and it's free, I love it and you should too. Supply the missing word. It may be printed, downloaded or saved and used in your classroom, home school, or other Recall the four properties of equalitysubtraction, addition, division, and multiplication. Max Duncan, OH. more manageable Expert Answers 1. To solve word problems start by reading the problem carefully and understanding what it's asking. Translate each phrase or sentence into a mathematical expression or equation. Translate the following phrases or sentences into mathematical expressions or equations. 5: Solving Linear Equations and Inequalities, { "5.01:_Objectives" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.02:_Solving_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.03:_Solving_Equations_of_the_Form_ax__b_and_x_a__b" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.04:_Further_Techniques_in_Problem_Solving" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.05:_Application_I_-_Translating_from_Verbal_to_Mathematical_Expressions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.06:_Application_II_-_Solving_Problems" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.07:_Linear_Inequalities_in_One_Variable" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.08:_Linear_Equations_in_Two_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.09:_Summary_of_Key_Concepts" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.10:_Exercise_Supplement" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.11:_Proficiency_Exam" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Arithmetic_Review" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Basic_Properties_of_Real_Numbers" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Basic_Operations_with_Real_Numbers" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Algebraic_Expressions_and_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Solving_Linear_Equations_and_Inequalities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Factoring_Polynomials" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Graphing_Linear_Equations_and_Inequalities_in_One_and_Two_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Rational_Expressions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Roots_Radicals_and_Square_Root_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Quadratic_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Systems_of_Linear_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12:_Appendix" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 5.5: Application I - 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