Expanding and Simplifying Algebraic Expressions

1
Expanding and Simplifying Algebraic Expressions
2(x 1) 3(x 3) 2x 2 3x 9 5x 11
x x 2x
2x - 5x -3x
2
6 (x - 1)(4)
3
6 (x - 1)(4)
This is a zero model.
4
6 (x - 1)(4) 2 4x
The simplified expression is 2 4x or 4x 2.
How can you use algebra tiles to show that 2
4x is the same as 4x 2 ?
5
Simplify

• 2x 3 4x - 5
• x - 2x - 4 - 2
• 3 (x - 1)
• -2 (x 2)

6
Simplify

• 1. 2x 3 4x - 5

7
Simplify

• 1. 2x 3 4x - 5

6x - 2
8
Simplify

• 2. x - 2x - 4 - 2

9
Simplify
-x - 6

• 2. x - 2x - 4 - 2

10
Simplify

• 3. 3 (x - 1)

3x - 3
How could you get this answer without using
algebra tiles?
11
Simplify

• 4. -2 (x - 2)

• Step 1
• 2 (x - 2)

• Step 2
• The opposite

12
Simplify

• 4. -2 (x - 2)

• -2x 4

• 2 (x - 2)

• -2 (x - 2)

How could you get this answer without using
algebra tiles?
13
Steps without algebra tiles

• -2 (x - 2) 3 (2x 1)
• -2x 4 6x 3
• 4x 7

How could you check your answer to see if it is
equivalent to the original expression?