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

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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

## Math 6A, Lesson 16, Fall 2017, 1/21/2018

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Distributive Law, Addition and Subtraction of Linear Algebraic Expressions

1. Hand out the report card for Fall 2017

2. Use of parentheses and distributive law

• a(x + y) = ax + ay
• (x + y)a = a(x + y) = ax + ay = xa + xy
• a(x – y) = a{x + (-y)] = ax + a(-y) = ax – ay
• a(x + y + z) = ax + ay + az
• x – (a – b) = a -a + b

3. Addition and subtraction of linear algebraic expressions: explained in class

• (2a +3b) + (5a -4b) =
• Find the sum of -2p + 3q – 4 and p + 5q – 3
• (4x – 5) – (7x – 3)

4. Home Work:

• Handout:
• one pages
• Workbook:
• page 21: 3, 4, 5
• Page 23: 11, 12, 13, 14, 15
• Page 24: 21
• Page 25: 22, 23

## Math 6A, Lesson 15, Fall 2017, 1/14/2018

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Like Terms and Unlike Terms

1. Go over the exam problem one by one.

2. Terms, coefficient, and constant terms

• The expression 2x – 3y + 8 consists of three terms. They are 2x, -3y and 8. The numerical part, including the sign, of a term is called the coefficient of the variable.
• Term 2x, the coefficient of x is 2
• Term -3y, the coefficient of y is -3
• Term 8, is called constant term

3. Classify the like terms and unlike terms: explained in class

4. Simplify the algebraic expression by combining (or collecting) like terms

• 2x + 3x = 5x
• 8y – 3y = 5y
• 3a + 4b – 2a + 5b = (3a -2a) + (4b +5b) = a + 9b

5. Home Work:

• Handout: two pages
• Workbook:
• page 21: 1, 2
• Page 22: 6, 9, 10

## Math 6A, Lesson 14, Fall 2017, 01/07/2018

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1. Exam on chapter 3 “Introduction to Algebra”

2. Home Work:

• Redo all the problems you got wrong in last three homework assignment.