Grade 11 · Math · Algebra 2

11th grade Simplify, multiply and divide rational expressions worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Simplify, multiply and divide rational expressions

Grade 11 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Esme writes (x + 4)/((x − 3)(x + 6)) on a worksheet. What are the excluded values of x?
Kira writes (2x + 1)/(x(x − 8)) in pencil. What are the excluded values of x?
Luz writes (x + 9)/((x − 1)(x + 5)) from a math book. What are the excluded values of x?
4.
Milo simplifies (x − 2)(x + 5)/((x + 5)(x + 1)) on a worksheet. Which is the simplest form?
- (x − 2)/(x + 1)
- (x + 1)/(x − 2)
- -2
5.
Pia simplifies (x + 7)/((x + 7)(x − 2)) in pencil. Which is the simplest form?
- x − 2
- 0
- 1/(x − 2)
6.
Ren simplifies (x − 4)/((x − 4)(x + 3)) from a math book. Which is the simplest form?
- 1/(x + 3)
- x + 3
- 0
7.
Tala divides (x + 1)/(x − 4) by (x + 1)/(x + 2) on a worksheet. Which is the quotient in simplest form?
- (x + 1)²/((x − 4)(x + 2))
- (x + 2)/(x − 4)
- (x − 4)/(x + 2)
8.
Zee divides (x − 3)/(x + 5) by (x − 3)/(x − 6) in a notebook. Which is the quotient in simplest form?
- (x − 6)/(x + 5)
- (x + 5)/(x − 6)
- (x − 3)²/((x + 5)(x − 6))
9.
Ari divides (x + 2)/(x − 7) by (x + 4)/(x − 7) in pencil. Which is the quotient in simplest form?
- (x + 2)/(x + 4)
- (x + 4)/(x + 2)
- (x + 2)(x + 4)/(x − 7)²
10.
Bo divides x/(x + 3) by (x − 1)/(x + 3) from a math book. Which is the quotient in simplest form?
- (x − 1)/x
- x(x − 1)/(x + 3)²
- x/(x − 1)

Simplify, multiply and divide rational expressions. Every version has 10 questions, and the answer key prints on the second page.

I can factor a rational expression, cancel the factors the top and bottom share, and say which values of x are excluded.
I can multiply rational expressions, and divide by flipping the second one.
I can rewrite a fraction with a new bottom by multiplying its top by the same factor.

Standard: A-APR.D.7 (+), A-SSE.A.2

rational expression: A fraction with a polynomial on top and on the bottom.

excluded value: A value of x that makes the bottom 0; it is never allowed.

common factor: A bracket that multiplies both the top and the bottom.

simplest form: No factor is left that the top and bottom share.

reciprocal: The fraction flipped upside down.

Used the opposite sign for an excluded value, so x − 3 gave -3.

Used the top of the fraction to find excluded values. Only the bottom can't be 0.

Left out the excluded value of a factor that cancelled.

Ask: what number makes x − 3 equal 0?

Ask: which numbers make the bottom 0?

Ask: which numbers make the bottom 0 before anything is crossed out?

What is the most common mistake with simplify, multiply and divide rational expressions?

Used the opposite sign for an excluded value, so x − 3 gave -3.

How can I help my child with simplify, multiply and divide rational expressions?

Ask: what number makes x − 3 equal 0?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records