A 6-ft piece of copper wire must be cut into three pieces.The shortest piece is 16 in. less than

step 1 Question number 46 so it is given that there is a copper wire which is six feet length okay and

A 6-ft piece of copper wire must be cut into three...

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Key Concepts

Variable Representation

This concept involves assigning variables to unknown quantities in a problem. It is a critical first step in many algebra problems, as it allows the translation of worded relationships and constraints into mathematical expressions that can be manipulated and solved.

Unit Conversion

Unit conversion ensures that all measurements are expressed in the same system of units. In problems involving varied units, such as feet and inches, conversion (e.g., 6 ft to 72 in) is essential to correctly establish the relationships and formulate equations.

Translating Word Problems into Equations

This key concept involves interpreting the textual information provided in a problem into algebraic equations. It requires understanding phrases that indicate relationships between quantities, such as differences and multiples, and then accurately setting up equations that capture these relationships.

Solving Linear Equations

Once equations are established, solving linear equations entails performing algebraic operations like combining like terms, isolating variables, and balancing the equations. Mastering these techniques is fundamental for arriving at the correct numerical solutions in problems involving unknown quantities.

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