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Simplifying Variable Expressions

Dive into the essentials of variable expressions in algebra with this comprehensive guide. Explore key concepts such as terms, constants, and coefficients, and learn how to identify them in expressions like 7x + y - 2xy - 7. We'll cover the definition of like terms, show you how to collect them using methods such as color coding and shapes, and simplify expressions effectively. Whether you’re tackling homework or brushing up on your skills, this resource will clarify the process of simplifying variable expressions and collecting like terms.

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Simplifying Variable Expressions

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  1. Simplifying Variable Expressions 2.3

  2. Term • A number or the product or a number and variable(s)

  3. Constant • Is a term with no variable

  4. Coefficient • Is a number that is multiplied by a variable

  5. To List the terms, constants and coefficients • KFC • Put a 1 in front of variables that don’t have a number in front of them

  6. List the terms, constants, and coefficients: 7x +y -2xy -7

  7. Name the coefficients the like terms and the constants of : • 6 +2s +4s • -4x • 9m +2r -2m +r

  8. Like Terms • Same variable • Same exponent on variable

  9. Collect Like Terms • KFC • Put a 1 in front of variables with no coefficients • Add the coefficients of like terms

  10. Different methods of showing work for collecting like terms: • Color coding Ex: 9 +4f +3 +2f • Shapes EX: 4f -2f +3 • Distributive Property Ex: 3b-b

  11. EX: Simplify 6y +4m -7y+m

  12. Ex: 4x +3-2(5+x)

  13. Homework TB Pg 76 (11-36) all

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