Lesson 102 – Doodles Do Algebra

Today’s lesson makes the connection between dividing one term by another as being the same as making a fraction and then reducing it, as your child has done over the last few days.

1. $5x^2y/3xy^2=5x/y$

2. $15a^2b^2c/25a^3bc=3*5*a*a*b*b*c/5*5*a*a*a*b*c=3b/5a$

3. $25abc/5ac^2=5b/c$

4. $amn^2/a^2m^2n=n/am$

5. $25ax^2/(5ax^2-5axy)=25ax^2/5ax(x-y)=5x/(x-y)$

6. $(3m^2+3n^2)/(15m^2+15n^2)=3(m^2+n^2)/15(m^2+n^2)=1/5$

7. $(x^3y^2+x^2y^3)/(ax^2y+axy^2)=x^2y^2(x+y)/axy(x+y)=xy/a$

8. $(x^2+2x-3)/(x^2+5x+6)=(x+3)(x-1)/(x+3)(x+2)=(x-1)/(x+2)$