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Simplifying Algebraic Expressions and Combining Like Terms: A Review

In this lesson, we review the fundamentals of simplifying algebraic expressions and combining like terms. We start with a recap of previous concepts and then introduce the definitions and examples of like terms in expressions and equations. Learn how to write variable expressions for real-life scenarios, such as calculating costs at a store. Engage with practice problems to identify and combine like terms effectively. We'll also provide additional resources like a video tutorial and a podcast accessible from Mac devices.

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Simplifying Algebraic Expressions and Combining Like Terms: A Review

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  1. Moving Straight Ahead • Lesson 2: Combining Like Terms • Review from yesterday • Introduction Video • Itunes Podcast (only can access from Mac) • OR…. http://www.youtube.com/watch?v=XwFJBZLbKC8

  2. Writing Equations Review The cost at a store for a package of pens is $3 and for a three-ring binder is $4. • Write a variable expression for the cost of buying p packages of pens and b binders. • How much would 3 packages of pens and 8 binders cost?

  3. Answer C = 3p + 4b C = $41

  4. Simplifying Algebraic Expressions EQ: How can I simplify algebraic expressions?

  5. Four Corners

  6. Vocabulary Term – a number and/or variable separated by symbols in an expression or equation Like Terms – terms with the exact same variables and/or exponents

  7. EXAMPLES… 15 c+ 4d- 3c+ 16 d • 15 c and -3c are alike • 4d and + 16d are alike

  8. What are some non examples based on the definition of like terms???

  9. Examples Name all the like terms in the following expressions: • -5x + 2y -7x -10x • 12 - 2m + 2n –m + 1 • 18a + 12 - 15a + 9b – 7 - b

  10. Examples:Once you have identified the like terms, then you can combine them. Let’s try these together! 7b 7c 2x 5y + 4 13c 6z -2p 1. 3b + 4b 2. 10c – 3c 3. x + x 4. 7y – 2y + 4 5. 5c + 8c 6. 11z – 5 z 7. 5 p – 7 p

  11. Try These: • 14x + 9y + 2y + 2x • 15a + 3a + b + 7a + 2b • -12t + 7s –s + -4t • 10y + 16x – 14 – x + y + 6

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