Solving Equations (Elementary Math Algebra)
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In Chapter 3, we focus on one of the most fundamental skills in algebra—solving equations. This chapter guides you through the essential techniques and strategies for solving different types of equations, from simple linear equations to more complex ones. You'll learn how to manipulate equations to isolate variables and find their solutions step-by-step.
What You'll Learn:
Solving Simple Linear Equations: Begin with basic equations involving a single variable. Learn how to isolate the variable and solve for its value using inverse operations, such as addition, subtraction, multiplication, and division.
Solving Equations with Fractions: Discover how to solve equations that involve fractions by eliminating the denominators, simplifying the problem, and solving for the unknown variable.
Solving Equations with Variables on Both Sides: Understand how to handle equations where variables appear on both sides. You'll learn to move terms and simplify to find the solution.
Solving Equations with Parentheses: Learn to solve equations that involve parentheses by applying the distributive property and simplifying before isolating the variable.
Checking Your Solutions: Learn the importance of checking your solutions by substituting them back into the original equation to ensure they satisfy the equation.
By the end of this chapter, you'll be proficient in solving a variety of equations. Whether the equation is simple or more complex, you will have the tools and techniques to solve it confidently. The chapter includes a variety of examples, practice problems, and tips to reinforce your skills.
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Lee Jun Cai is the founder of AcesMath!, an educational centre that coaches students to excel in the field of Mathematics. He specialises in helping with Mathematics papers under GCE O/A - Level and International Baccalaureate.
Mr Lee graduated with a First-Class Honours as a Bachelor of Science from National University of Singapore (NUS). As a student, he won numerous prestigious awards like Tan Teck Chwee Book Prize (Best student in Pure Mathematics) and the D D Chelliah Gold Medal (Best student in Mathematics).
After graduating, Mr Lee enrolled in National Institute of Education for his Post Graduate Diploma of Education specialising in Junior College and Secondary School Mathematics education. He started his teaching career with his alma mater Raffles institution (Year 5 and 6) and moved on to teaching in Catholic Junior College. While teaching in schools, Mr Lee also furthered his studies graduating with Master of Science in Mathematics from NUS.
Embracing continuous learning and improvement, Mr Lee also furthered his studies with an International Baccalaureate Category Two certification.
