Unit 8 lesson 4 math 7a
In Unit 8 Lesson 4 of Math 7A, you will learn about solving equations with variables on both sides. This topic builds upon the previous lessons on solving one-step and two-step equations.
Here are the main concepts covered in this lesson:
1. Variables on Both Sides: You will encounter equations where variables are present on both sides. To solve such equations, you need to isolate the variable by using inverse operations.
2. Removing Parentheses: If the equation has parentheses, you should also apply the distributive property to remove them before solving. This will involve multiplying terms inside the parentheses by the coefficient outside.
3. Combining Like Terms: In some equations, you may also need to combine like terms on both sides before isolating the variable. This is done by adding or subtracting similar terms to simplify the equation.
4. Solving Step-by-Step: When solving equations with variables on both sides, it is helpful to perform moves step-by-step. Start by simplifying both sides, then move all variable terms to one side and constants to the other side. Finally, isolate the variable by performing inverse operations.
5. Checking Solutions: After obtaining your solution, it is always recommended to check if it satisfies the original equation. Substitute the value back into the equation and ensure that both sides are equal.
Throughout the lesson, you will practice solving various equations with variables on both sides. Remember to keep track of your steps and pay attention to the properties of equality and inverse operations used in each step.