**Math 6A, Lesson 1, Spring 2018, 1/28/2018**

**Simplification of Linear Algebraic Expressions**

**1. The distributive law is applicable when moving parentheses in an algebraic expression. Examples in class:**

- 2(3x + 4y) =
- -4(5a – 3b) + 7a
- a(2x + 7y + 5z)
- (2p + 3q -4r)(-6b)
- 2[x- 5(3-x)]

**2. Express each of the following as a single fraction in the simplest form. Recall LCM of denominators.**

- -p + p/3 +(3p)/5
- (3p + 10)/4 -2
- (3x – 4)/4 + (2x+5)/3
- (1 – 2x)/3 + (3x + 1)/5 + (4x -3)/6

**3. Home Work:**

- Handout:
- two pages

- Workbook: correct last week’s HW problem of
- page 21: 3, 4, 5
- Page 23: 11, 12, 13, 14, 15
- Page 24: 21
- Page 25: 22, 23