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Linear Equation Solving A Review Common Core Algebra 1 Homework


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Linear Equation Solving A Review Common Core Algebra 1 Homework


How to Solve Linear Equations: A Review for Common Core Algebra 1 Homework


Linear equations are equations that involve variables with a degree of one. For example, 2x + 3 = 7 is a linear equation, but x + 3 = 7 is not. Solving linear equations means finding the value of the variable that makes the equation true.


In this article, we will review some common methods for solving linear equations, such as using inverse operations, combining like terms, and using the distributive property. We will also look at some examples of linear equations that appear in Common Core Algebra 1 homework.


Using Inverse Operations


One of the simplest ways to solve a linear equation is to use inverse operations. Inverse operations are operations that undo each other, such as addition and subtraction, or multiplication and division. For example, to solve x + 5 = 12, we can use the inverse operation of subtraction and subtract 5 from both sides of the equation. This gives us x = 7, which is the solution.


The general rule for using inverse operations is to isolate the variable on one side of the equation by performing the same operation on both sides. For example, to solve 3x = 15, we can use the inverse operation of division and divide both sides by 3. This gives us x = 5, which is the solution.


Combining Like