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Page 1: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

1

September 13, 2016

Sep 13­1:57 PM

Page 2: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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Consecutive Integer Word Problems

Objective for today's lesson:Analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

AGENDA Lesson 1.51) HW out!2) Complete WU 1.43) Review HW 

4) Review WU 1.3

5) Today ­ Consecutive Integers

WU 1.3

Homework Solutions: 1­6 1)  7

2)  ­1

3)  ­43/2

4)  ­4

5)  21/5

6)  ­85/3

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Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Let's watch these 2 videos to see if you can explain the meaning of

CONSECUTIVE

Page 4: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

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What does CONSECUTIVE

mean to you?

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Page 5: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

List 4 consecutive positive integers:

___, ___, ___, ___

Now list 4 consecutive negative integers:

___, ___, ___, ___

Page 6: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

If x is the first consecutive integer, who are the next 3 consecutive integers (in terms of x):

_x_, ___, ___, ___

Page 7: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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How do you represent integers for these word problems???

Consecutive Integers:x = 1st integerx + 1 = 2nd integer

x + 2 = 3rd integer x + 3 = 4th integer

and so on...and so on...

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Page 8: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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These #'s can be negative also!

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

List 4 consecutive ODD integers:

___, ___, ___, ___

Now list 4 consecutive EVEN integers:

___, ___, ___, ___

Page 9: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

Unit 1­a review of basic algebra.notebook

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Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

If x is the first odd integer, who are the next 3 ODD integers (in terms of x):

_x_, ___, ___, ___

Now list 4 consecutive even integers

(in terms of x):

_x_, ___, ___, ___

Page 10: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.5... · Unit 1a review of basic algebra.notebook 2 September 13, 2016 May 1012:45 PM Consecutive

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Consecutive Even/ Odd Integers:x = 1st even/ odd integer

x + 2 = 2nd even/ odd integerx + 4 = 3rd even/ odd integerx + 6 = 4th even/ odd integer

and so on... and so on...

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Notice you always add 2 (+2) to get to the

next even or odd integer.

Think about it. What do you add to 5 to

get to the next odd integer?

What do you add to 24 to get to the

next even integer?

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Example: Find 3 consecutive integers whose sum is 147.

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Check you answer:

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1. Two consecutive integers have a sum of 91. What are the two integers?

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Check you answer:

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2. What two consecutive odd integers have a sum of 88?

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Check you answer:

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3. Two consecutive even integers have a sum of -26. What are the two integers?

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Check you answer:

***Find the largest of two even integers whose sum is ­26. 

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Here's a tricky one...

Find three consecutive odd integers such that

the sum of the first and third equals the sum of the second and 43.

Students will be able to analyze and solve verbal problems whose solution requires solving a linear equation in one variable.

Check you answer: