Solving Equations with Variables on Both Sides practice problems is a set of exercises designed for 8th grade students learning how to solve equations with variables on both sides. The problems involve using algebraic techniques to simplify equations with variables on both sides and to isolate the variable on one side of the equation. By practicing these problems, students can improve their understanding of how to apply the properties of equality and use inverse operations to solve equations. The exercises aim to develop students' proficiency in solving equations with multiple steps and in using algebraic methods to solve real-world problems.&nbsp;You can take help from our Introduction To <a href="https://www.bytelearn.com/math-grade-8/lesson-plan/solve-equations-with-variables-on-both-sides">Solving Equations With Variables On Both Sides Lesson Plan</a> perfect for empowering your math students! &nbsp;

Solving Equations with Variables on Both Sides

<h2>Important Points on Solving Equations&nbsp;</h2>&nbsp;There are various types of terms that are involved in an equation. Such as: constants, variables, terms, and so on.&nbsp;<ul><li>Constant is a numerical value that is fixed in an equation.&nbsp;</li><li>A symbol that does not have a fixed value is known as a variable.&nbsp;</li><li>A single variable, or a combination of variables, and a constant that is combined either with division or multiplication is known as a term.&nbsp;</li></ul> &nbsp;<h2>Solving Equations Examples&nbsp;&nbsp;</h2>&nbsp;<ol><li>Is 3 a solution to this equation : 4x + 14 = 24.&nbsp;</li></ol> &nbsp;Equation = 4x + 14 = 24.&nbsp;On substituting the value of x by 3.&nbsp; &nbsp;4 * 3 + 14 = 24&nbsp;12 + 14 = 24&nbsp;26 &gt; 24.&nbsp;No! 3 is a not a solution to this equation and is unequal.&nbsp; &nbsp;<ol><li>Is 4 a solution to this equation : 4x + 20 = 50.&nbsp;</li></ol> &nbsp;Equation = 4x + 20 = 50&nbsp; &nbsp;On substituting the value of x by 4.&nbsp; &nbsp;4 * 4 + 20 = 50 &nbsp;16 + 20 = 50&nbsp;36&nbsp;≠&nbsp;50.&nbsp; &nbsp;Hey teachers, if you are looking for unit tests, activities, worksheets, quizzes, practice test papers that are suitable for your students to practice, here's the compilation of suitable lessons to share with your students. &nbsp;

<h2 style="text-align:justify;">8th Grade Course Summary&nbsp;</h2>&nbsp;In 8th grade math, students are introduced to high-value concepts and expand their knowledge of operations and execution of these concepts. Here is a brief overview of the 8th Grade Math Course:&nbsp;&nbsp;<h2><a href="https://www.bytelearn.com/math-grade-8/Exponents">Exponents</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/linear-relationships-and-functions">Linear Relationships And Functions</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/Scientific-Notation">Scientific Notation</a></h2>&nbsp;

grade 8

The 8th-grade math curriculum has been designed to help students advance mathematically, particularly in the areas of algebraic equations. They focus on three core areas; reasoning and formulating, describing and deriving relationships, and analyzing two and three-dimensional figures.&nbsp; &nbsp;Students are also taught to expand their understanding of proportional relationships. They also learn the importance of solutions and application to single linear equations. They work on various models with bivariate data and learn to make the necessary predictions. Functions open a new arena for them to learn high-value functions in high school. They continue by studying with measurement and movement of figures, lines, and angles with two and three-dimensional figures.&nbsp;

Solving Equations

Solving equations unit worksheet will help your students to understand this concept better. The equations consist of a minimum of two terms that have variables or numbers that are connected by an operator (addition, subtfraction, division and multiplication) in between. Some examples of an equation are 2x + 3y = 7 or 3x &gt; 8y etc. An equations can be solved in multiple ways using many steps.&nbsp; &nbsp;

They will also learn how to apply the concept of solving equations to solve practical problems, such as finding the value of an unknown quantity. The lesson includes interactive activities and opportunities for student collaboration, and assessments to ensure mastery of the concept. By the end of this lesson, students will have a solid foundation in algebra that they can build upon in future math classes.

8th Grade Math Solving Equations Lesson Plan

This 8th grade math solving equations lesson plan aligns with the Common Core State Standards for Mathematics. Students will learn how to solve linear equations with one variable using different methods, such as using inverse operations, combining like terms, and the distributive property. The lesson begins with an introduction to basic algebraic vocabularies, such as variables, constants, and equations. Students will then explore different types of equations and the steps required to solve them.&nbsp;

Grade 8 students should be able to solve linear equations with one variable and use algebraic methods to solve real-world problems. They should also be able to apply the distributive property and combine like terms to simplify expressions.&nbsp;Through the study of solving equations, students will develop their critical thinking skills and their ability to apply mathematical concepts to real-world problems. With a solid foundation in solving equations, students will be well-prepared for the challenges of high school and beyond.

In Grade 8, students are expected to develop a deep understanding of algebraic equations and how to solve them. The Common Core Standards for Mathematics emphasize the importance of solving equations as a fundamental skill for success in higher mathematics courses.&nbsp;

<h2>Teaching Solving Equations Easily&nbsp;</h2>&nbsp;Things to keep in mind while solving equations unit worksheet:<ul><li>Firstly, in a parenthesis, apply the distributive property in the given equation.&nbsp;</li><li>Secondly, combine all the like terms.&nbsp;</li><li>Now, collect all the like terms on one side of the equation.&nbsp;</li><li>Lastly, isolate the variable using inverse operations.&nbsp;</li></ul>Here is an example of how to solve the equation problem.Assume Tom is six years younger than Sam. After 10 years, the sum of their ages is 36. Then how old is Sam now?Step 1: Let Sam’s age be x years old. Then Tom’s age = x - 6 years. After 10 years, the sum of their ages is 36. i.e.,(x + 10) + (x - 6 + 10) = 36Step 2: Combine similar terms.2x + 14 = 36On removing 14 from both sides,The result is that 2x = 12Dividing both sides by 2,Thus, Sam's age now is 6 years old.&nbsp;<h2>Why Should You Use Solving Equation Worksheets for Your Students?&nbsp;</h2>&nbsp;<ul><li>These worksheets provide opportunities for your students to solve multi-step word problems using variables, coefficients, and constants.&nbsp;</li><li>Solving these worksheets will help students strengthen basic skills like multiplication, division, addition, subtraction, division, BODMAS, etc.</li></ul><h2>Download Solving Equation Unit Worksheet PDFs.</h2>&nbsp;You can download and print these equation worksheets in pdf here for your students. &nbsp;

Solving an equation that may need more than two steps to solve for the variable.&nbsp; Generally, we use the same operation on both sides of the equation to isolate the variable. These equations involve multiple steps to get the solution. There are many ways to solve an equation. Teachers can share this amazing solving equations worksheet with their students to help them master this concept for unit tests.

Solve the equation for `x`:`3x - 9 = 5x - 3`Write your answer as an integer, simplified fraction, or exact decimal.

Math

Solve the equation for `x`:`-x - 8 = 2x - 17 - 6`Write your answer as an integer, simplified fraction, or exact decimal.

Solve the equation for `x`:`10 - 10x - 4 = -6x - 6`Write your answer as an integer, simplified fraction, or exact decimal.

Solving Equations With Variables On Both Sides Problems

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