NAME:________________________________________________________ PER:____________ Problems of the day 1. 2. 3. 4. If there are 3 apples and we add 2 more apples to it then how many apples do we have? _____________ If there are 3 apples and we add 2 more oranges then how many apples do we have?____________ If there are 3x and we add 2x then how many x’s do we have? ________________ If there are 3x and we add 2y then how many x’s do I have? --------------------------------------- Essential Questions? What does it mean to combine like terms? 1. How do I simplify an expression with more than one variable? Vocabulary Like terms – Terms that have the exact same variable(s) raised to the same power Combine like terms – The process of adding or subtracting like terms together. Simplify – The process of combining like terms until it is in the simplest form. Simplify each expression Example 1 (I’ve already used the shape method for this particular problem!) : Example 2: 2x + 3y Example 4: 3a + 2ab - 7 + 5b +2a - 6b – 6ab + 3 Example 3: 3x + 1 - x + 2 ***NOTE*** “ab” is different from just “a” or “b” by itself. It is in fact a combination of the two, which means it can only be added to OTHER combinations of the two! NAME:________________________________________________________ PER:____________ Combining Like Terms Practice 1. 6d – e + 3d – 2e 2. 3 + 2c + 5c + 2 3. 2a + 3b – 5b +7a 4. 6c – 7 + d + 4 – 6d 5. b – 3n + 12 – 6b + 2n 6. 9c – 4 -13c + 6 7. 23 + 8m + 4n – 5m – 27 8. 8x – 2y + 3x + 5y 9. 11a – 3b + 6a – 7b 10. 7 + 2y – 8x 11. 7x – 5y – 4x + 3y 12. 7 – 5c – d + 9c + 2 13. What are like terms? 14. How do you gather like terms? 15. How do you know when you are finished gathering like terms? NAME:________________________________________________________ Name: _____________________________ Lesson #3 Introduction PER:____________ Gathering Like Terms Homework 1. 5a + 2b – 5b + 9a 2. 2c – 3 + 9d +7 – 6d 3. j – 4k + 7 + 2j – 3k 4. 4c + 7 – 3c + 8 NAME:________________________________________________________ PER:____________
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