1. Adding and Subtracting Linear Expressions

2. What is a linear expression
What is a linear expression? It is an algebraic expression in which the variable is raised to the first power and different variables are not multiplied.

3. Adding Linear Expressions 1. Distribute if necessary 2
Adding Linear Expressions 1. Distribute if necessary 2. Stack linear expressions 3. Combine (add) like terms

4. Example: (2x+3) + (x+4) 2x + 3 + x + 4 3x + 7

5. Another Example: (2x-1) + (x-5) 2x - 1 + x - 5 3x - 6

6. Example with Distribution 6(x+7) + (x+3) 6x + 42 + x + 3 7x + 45

7. Marker Boards (3x + 5) + (4x  1)
Marker Boards (3x + 5) + (4x  1) (4x  10) + (5x  2)   (7x  9) + (x  6)   (6x  7) + (3x  5) (4x + 2) + (3x  1)

8. (5x  3) + (2x + 1) (7x + 4) + (5x  12) (3x + 9) + (14x  2)

9. Subtracting Linear Expressions 1
Subtracting Linear Expressions 1. Distribute the negative (subtraction sign) to all terms in the second parentheses 2. Stack linear expressions 3. Combine (add) like terms

10. Example: (2x+3) - (x-4) 2x + 3 (+) -x - 4 x - 1

11. Another Example: (2x-1) - (x-5) 2x - 1 + x - 5 3x - 6

12. Example with Distribution 6(x+7) + (x+3) 6x + 42 + x + 3 7x + 45

13. Marker Boards (3x + 5) - (4x  1)
Marker Boards (3x + 5) - (4x  1) (4x  10) - (5x  2)   (7x  9) - (x  6)   (6x  7) - (3x  5) (4x + 2) - (3x  1)

14. (5x  3) - (2x + 1) (7x + 4) - (5x  12) (3x + 9) - (14x  2)