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.