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.

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Presentation transcript:

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. +

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? + ++ = +

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

YOUR TURN: Given the expression 3x 2 + 5x – 4, name the following: The terms of the expression: 3x 2, 5x and 4 The coefficient of x : 5 The coefficient of x 2 : 3 The constant: 4

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)

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

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

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

Rewrite: Regroup: Answer:

Rewrite: Regroup: Answer:

Rewrite: Regroup: Answer:

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

Homework : Section 5.1pages #’s 8-38 EVEN