Unit 3 - Equal or Not

 

This is the first unit of the Algebra Strand. The following concepts will be included within this unit:
Download Unit 3 Word Wall
Part 2
1. Solving inequalities with one variable
2. Graphing the solutions to one variable inequalities
3. Solving inequalities with absolute value
4. Graphing the solutions to inequalities with absolute value.

How to Solve Inequalities

How to Solve Inequalities with Absolute Value

Important Dates (Part 2):

Review Groups - Thursday 11/18/10

Unit 3 Test #2 - Friday 11/19/10
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Part 1

1. Translating Verbal Expressions

2. Simplifying Expressions

3. Evaluating Expressions with Substitution

4. Evaluating equations with variables on both sides.
5. Solving an equation for one variable in terms of another.

Important Dates (part 1):

 

Unit 3 Almost There Part 1 - Monday, November 1st

  

Review Groups - Wednesday, November 3rd and Thursday November 4th

  

Unit 3 Test (Part 1) - Friday November 5th

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Some Examples for the Unit:

Solving Multi-Step Equations

8x + 6 + 3x – 2 = 37

11x + 4 = 37   Combine like terms.

                     – 4   – 4   Subtract 4 from both sides.

                    11x = 33  Divide both sides by 11.

            x = 3

  

Simplify Expressions with Distributive Property

  

6(5 + n) – 2n

 

6(5) + 6(n) – 2n  Distributive Property

 

30 + 6n – 2n Combine Like Terms

 

30 + 4n

 

  

Order of Operations

PEMDAS

Parenthesis

Exponents

(Multiplication/Division)
(Add/Subtract)

 

Comments

[Amit Kumar]

This is the very easy Question or complex question .I want to solve complex questions like
Example 1:

Solving the systems of equations by using the substitution method

4x + 2y = 6

2x - 6y = 24

Solution:

Given

Step 1:

System of linear equations with two variables

4x + 2y = 6 ? (1)

2x - 6y = 24 ? (2)

Step 2:

First take equations (1)

Step 3:

4x + 2y = 6

Divide by 2 on both sides we get

2x + y = 3

y = 3 - 2x

Step 4:

Substitute the y = 3 – 2x in (2) we get

2x - 6y = 24

2x – 6(3 – 2x) = 24

2x + 12x - 18 = 24

14x = 24 + 18

14x = 42

x = 3

Step 5:

Substitute the x = 3 in (1) we get

4x + 2y = 6

4(3) + 2y = 6

12 + 2y = 6

2y = 6 - 12

2y = -6

y = -3

Step 6:

Answer:

x = 3

y = -3

So i request you to post some difficult questions and their solutions .