**Update: This Lesson Is Part of Book 2 of Doodles Do Algebra: “Unknowns And The 29 Articles of Algebra” available on Amazon.**

Teacher’s Notes:

Today is a trick day – I had one child who never read instructions and so every so often I planted a lesson with an easy and quick way out of doing problems. Today is such a day: If your child reads what DoodleTwo is saying in the speech bubble, then she will know to do the one, pretty easy problem and write it above DoodleTwo’s head on the paper. If however, your child is like one of mine was, she will skip the reading and do all the problems below. Don’t get me wrong, my kids like math a lot and enjoyed the problems, but it was good to check and see if she was reading every once in a while.

Worksheet:

*Available in the book, “Unknowns And The 29 Articles of Algebra, Book 2 of Doodles Do Algebra“*

Answers:

main problem:(x+5)*2 = 3x, so x+5 = 3/2x, and 5=3/2x – x = 1/2x, so x=10

decoy problems:

1. 5x=3x+6, so 2x=6, and x=3

2. 5x=2x+15, so 3x=15, and x=3

3. 8x=3x+15, so 5x=15, and x=3….seeing a pattern here?

4. 10x=4x+24, so 6x=24, and x=4 (this problem is also on purpose so if you have smart kids who always look for patterns instead of doing the math, like I do, then you will be able to tell)

Please leave any feedback you have.

Thanks,

**Update: This Lesson Is Part of Book 2 of Doodles Do Algebra: “Unknowns And The 29 Articles of Algebra” available on Amazon.**

Teacher’s Notes:

Today DoodlePig walks your child through calculating something practical – how much money each of three boys gets from their father. The first half of the problem helps your child extract the mathematical relationships between the money each boy received and set up the problem to be solved. Then the second half of the main problem walks your child through solving the problem. At this point, the process of solving simple problems should be getting pretty easy for your child.

Worksheet:

*Available in the book, “Unknowns And The 29 Articles of Algebra, Book 2 of Doodles Do Algebra“*

Answers:

1. first boy got x cents, second boy got x + **2** cents, third boy got x + 2 + **3** cents (since the third boy got 3 more cents than the second boy who got 2 more cents than the first boy), and all together the boys got **25** cents. So **3**x + **7** = 25, and then **3**x = 25 – **7**, [intermediate steps here are first to subtract 7 from 25 to get 18, and then divide both sides of the equation by 3] and finally x=**6**. (just for completeness, boy 1 got 6 cents, boy 2 got 8 cents, and boy 3 got 11 cents).

2. 4 times 2x + 3 is 4 times 2x plus 4 times 3, as described a few lessons back. So the answer is **8x + 12**.

3. This problem takes your child through the process of solving 5x-3 = 17. First you add three to both sides, and 5x = **20**. Then you divide both sides by 5 and x=**4**.

Please leave feedback, if you have any.

**Update: This Lesson Is Part of Book 2 of Doodles Do Algebra: “Unknowns And The 29 Articles of Algebra” available on Amazon.**

Teacher’s Notes:

Today’s lesson is very self-explanatory. The idea is to walk your child through the process of solving a problem, much like the ones he did over the last few lessons.

Worksheet:

*Available in the book, “Unknowns And The 29 Articles of Algebra, Book 2 of Doodles Do Algebra“*

Answers:

number=x

add 4 to number = **x+4**

x+4 = **3x**

and **x=2.**

As always, I appreciate feedback.