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NAME DATE PERIOD Lesson 8 Problem-solving Practice Solve Systems of Equations Algebraically 1. GEOMETRY The perimeter of a rectangle is 36 meters. The length of the rectangle is 4 meters longer than
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01
Identify the problem: Before you can set up an equation, you need to clearly understand the problem you are trying to solve. Identify what is known and what is unknown in the problem.
02
Define the variables: Assign variables to the unknowns in the problem. This allows you to represent the unknown quantity with a letter or symbol.
03
Translate the problem into an equation: Express the relationships between the known and unknown quantities using mathematical symbols. Use appropriate mathematical operations (+, -, x, ÷) to represent the given information.
04
Simplify the equation: If possible, simplify the equation by combining like terms or using the distributive property. This step makes the equation easier to work with and may reveal a more simplified form.
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Solve the equation: Use algebraic techniques to solve the equation for the unknown variable. This may involve isolating the variable on one side of the equation or using methods like factoring, completing the square, or applying quadratic formula, depending on the type of equation.
06
Check your solution: Once you have found the value of the unknown variable, substitute it back into the original equation and verify whether it satisfies the given conditions of the problem. If it does, your solution is likely correct.
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What is set up an equation?
Setting up an equation involves creating a mathematical statement that shows the relationship between different variables.
Who is required to file set up an equation?
Anyone who needs to solve a problem using algebraic equations may be required to set up an equation.
How to fill out set up an equation?
To fill out an equation, you must gather relevant information, decide on the unknown variable, and write an equation that represents the problem.
What is the purpose of set up an equation?
The purpose of setting up an equation is to simplify complex problems and find a solution using mathematical representation.
What information must be reported on set up an equation?
Information about the variables involved, their relationships, and the problem to be solved must be reported on a set-up equation.
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