September 19, 2012More multi-step equations and consecutive integer problems

Warm-up:

Do one group’s multi-step review sheet. When you are done, compare answers with your group.

Then you will go to a person from that group to check your answers.

HW 3.4: Pg. 146 #42-47allTEST MONDAY!

Lesson 2.4Simplifying before Solving Equations

Steps to solve equations

1. Simplify

- Take care of Negatives and Absolute Values

- Distribute

-Combine Like Terms

2. Add or Subtract

3. Multiply or Divide

Ex 1. 3(x + 6) + 2x = 10

3x + 18 + 2x = 10Distribute

5x + 18 = 10Combine Like Terms -18 -18

5x = -85 5

x = 5

8

Steps to solve equations

1. Simplify

- Take care of Negatives and Absolute Values

- Distribute

-Combine Like Terms

2. Add or Subtract

3. Multiply or Divide

1. 3x + 5x + 15 = 10

2. 4(2b + 1) = 8

3. -3(2m – 5) = 39

4. 6x – 2(5x – 3) = 20

What are consecutive integers?

1, 2, 3, 4, 5, 6 or 43, 44, 45, 46, 47Consecutive integers are integers that

follow one another.

What would the next 3 consecutives integers be after 9?

What would the next 3 consecutive integers be after -9?

So, what would the next 3 consecutive integers be after n?

Check if this works out: Plug in n = 3

Does this work for negative integer? n = -3

Does this work for any integer?

n,

1st#

n + 1,

2nd#

n + 2,

3rd#

How do you write consecutive odd or even integers?

What are ODD integers?1, 3, 5, 7, 9, …

What are EVEN integers?2, 4, 6, 8, 10…

What are adding to each integer to get to the next?

adding 2 (+2)

Setting up Consecutive Integer Problems

Consecutive Integers:

Consecutive Odd Integers:

Consecutive Even Integers:

Example 2: Find three consecutive even integers whose sum is -42. Then check your answer.

Practice:

Find three consecutive integers whose sum is -159.