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Notes 5.1 – ADDING EXPRESSIONS

Notes 5.1 – ADDING EXPRESSIONS. I. Write an expression to represent the following situation:

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Notes 5.1 – ADDING EXPRESSIONS

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  1. Notes 5.1 – ADDING EXPRESSIONS

  2. I. Write an expression to represent the following situation: Tim got a DVD burner for his computer on his birthday. He was able to create 3 DVD's out of the movies he'd copied from his movie collection with 6 movies left over. If x represents the amount of movies each DVD holds write an expression for the total amount of movies . +

  3. After a month Tim burned 6 more DVD's with 2 movies left over. What algebraic expression could be used for this situation? + How would you represent the total amount of movies in his collection? +++ = +

  4. Only like terms can be added or subtracted! In the expression: 4x + 2y + 3 4x, 2yand 3 are called the TERMS 4 and 2 are the COEFFICIENTS of the variables x and y. 3 is referred to as a CONSTANT

  5. YOUR TURN: Given the expression 3x2 + 5x – 4, name the following: The terms of the expression: 3x2, 5x and 4 The coefficient of x: 5 The coefficient of x2: 3 The constant: 4

  6. Properties of Numbers Commutative Property: For all numbers a, b and c: a + ( b + c) = a + ( c + b) Example:4 + ( 3x + 2) = 4 + (2 + 3x)

  7. Associative Property: For all numbers a, b and c: a + ( b + c) = (a + b) + c Example:4 + ( 2 + 3x) = ( 4 + 2 ) + 3x = 6 + 3x

  8. Distributive Property: For all numbers a, b and c: a ( b + c) = ab + ac Example 1: (4x + 6x) =( 4 + 6 ) x = 10x Example 2:3(x + 2) = 3x + 6

  9. Using the Properties of Numbers, simplify the following expressions: Rewrite: Regroup: Answer:

  10. Rewrite: Regroup: Answer:

  11. Rewrite: Regroup: Answer:

  12. Rewrite: Regroup: Answer:

  13. 3x + 2 2x + 8 6x - 3 • 5) Write an algebraic expression for the perimeter of the triangle and then simplify: P =

  14. Homework : Section5.1 pages 277-279 #’s 8-38 EVEN

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