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8.5A Adding/Subtracting Rational Expressions Worksheet

Authored by Shari McCourt

Mathematics

11th - 12th Grade

CCSS covered

Used 84+ times

8.5A Adding/Subtracting Rational Expressions Worksheet
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32 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

1) Simplify each expression:

 2y+13y+5y+43y\frac{2y+1}{3y}+\frac{5y+4}{3y}  

 7y+56y\frac{7y+5}{6y}  

 7y+53y\frac{7y+5}{3y}  

 4y+54y+5  

 10y2+49y2\frac{10y^2+4}{9y^2}  

Tags

CCSS.HSA.APR.D.7

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

1) State any restrictions on the variables:

 2y+13y+5y+43y\frac{2y+1}{3y}+\frac{5y+4}{3y}  

 y≠0,−12,−45y\ne0,-\frac{1}{2},-\frac{4}{5}  

 y≠−3y\ne-3  

 No restrictionsNo\ restrictions  

 y≠0y\ne0  

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

2) Simplify each expression:

 5n30m+2m+4n30m\frac{5n}{30m}+\frac{2m+4n}{30m}  

 9n+2m60m\frac{9n+2m}{60m}  

 3m5\frac{3m}{5}  

 10mn+20n2900m2\frac{10mn+20n^2}{900m^2}  

 9n+2m30m\frac{9n+2m}{30m}  

Tags

CCSS.HSA.APR.D.7

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

2) State any restrictions on the variables:

 5n30m+2m+4n30m\frac{5n}{30m}+\frac{2m+4n}{30m}  

 m≠0m\ne0  

 n≠0n\ne0  

 m≠0 and n≠0m\ne0\ and\ n\ne0  

 No restrictionsNo\ restrictions  

Tags

CCSS.HSA.APR.D.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

3) Simplify each expression:

 u+5v8v2u2−u−6v8v2u2\frac{u+5v}{8v^2u^2}-\frac{u-6v}{8v^2u^2}  

 −18vu2-\frac{1}{8vu^2}  

 2u−v8v2u2\frac{2u-v}{8v^2u^2}  

 −v-v  

 118vu2\frac{11}{8vu^2}  

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

3) State any restrictions on the variables:

 u+5v8v2u2−u−6v8v2u2\frac{u+5v}{8v^2u^2}-\frac{u-6v}{8v^2u^2}  

 u≠0 and v≠0u\ne0\ and\ v\ne0  

 No restrictionsNo\ restrictions  

 u≠0u\ne0  

 v≠0v\ne0  

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

4) Simplify each expression:  6y−49y2−1+3y+19y2−1\frac{6y-4}{9y^2-1}+\frac{3y+1}{9y^2-1}  

 1y+1\frac{1}{y+1}  

 −3y−1-\frac{3}{y-1}  

 3y\frac{3}{y}  

 33y+1\frac{3}{3y+1}  

Tags

CCSS.HSA.APR.D.7

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