Point to the Expression: Solving Algebraic Word Problems using the Expression-Pointer Transformer Model BugeunKim KyungSeoKi DonggeonLee GahgeneGweon Department of Transdisciplinary Studies, Seoul National University, Seoul, Republic of Korea {cd4209,kskee88,lsw5835,ggweon}@snu.ac.kr Abstract Problem One number is eight more than Solving algebraic word problems has recently twice another and their sum is 20. emerged as an important natural language pro- Whataretheir numbers? cessing task. To solve algebraic word prob- Numbers 1(‘one’), 8(‘eight’), 2(‘twice&rsquo ...
The Art of Problem Solving Pre-Test Introduction to Counting & Probability If you know basic algebra well enough to solve the problems below, you are ready for the Art of Problem Solving’s Introduction to Counting & Probability book. Answers to these problems are on the following page. Do not use a calculator. 1. Solving linear equations. Sample questions: (a) Find x: 31x+24 = 365. (b) Find n: 7n−4 = 2n+16. 2. Simplifying fractions containing algebraic expressions ...
A Brief History of Linear Algebra Jeff Christensen April 2012 Final Project Math 2270 Grant Gustafson University of Utah In order to unfold the history of linear algebra, it is important that we first determine what Linear Algebra is. As such, this definition is not a complete and comprehensive answer, but rather a broad definition loosely wrapping itself around the subject. I will use several different answers so that we can see these perspectives. First, linear algebra is the study ...
Student Study Session Justifications on the AP Calculus Exam Students are expected to demonstrate their knowledge of calculus concepts in 4 ways. 1. Numerically (Tables/Data) 2. Graphically 3. Analytically (Algebraic equations) 4. Verbally The verbal component occurs often on the free response portion of the exam and requires students to explain and/or justify their answers and work. It is important that students understand what responses are valid for their explanations and justifications. General Tips and Strategies for Justifications 1. A ...
Parsing Algebraic Word Problems into Equations RikKoncel-Kedziorski, Hannaneh Hajishirzi, † † Ashish Sabharwal , Oren Etzioni , and Siena Dumas Ang University of Washington, †Allen Institute for AI {kedzior,hannaneh,sienaang}@uw.edu, {ashishs,orene}@allenai.org Abstract Oceanside Bike Rental Shop = charges 17dollars plus This paper formalizes the problem of solv- 7 dollars an hour for renting a + 80 $ $ ingmulti-sentencealgebraicwordproblemsas bike. Tom paid 80 dollars to that of generating and scoring equation trees. 17 ∗ rent a bike ...
Name: ________________________ Class: ___________________ Date: __________ ID: A Unit 1 - Review (Equations and Inequalities) Multiple Choice Identify the choice that best completes the statement or answers the question. What is the solution of the following one-step equation? ____ 1. x ! 0.7 = !2 a. –1.3 b. –0.4 c. 0.77 d. –0.77 Solve the equation. ____ 2. 3y + 20 = 3 + 2y a. ! 1 b. 72 c. 23 d. !17 ...
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