Grade 11 · Math · Algebra 2

11th grade Add and subtract rational expressions, and simplify complex fractions worksheet

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Add and subtract rational expressions, and simplify complex fractions

Grade 11 Math Worksheet - Building Confidence

NameDate

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

1.
Jun works out x/(x − 3) + 4/(x − 3) on a worksheet. Which is the answer in simplest form?
- (x + 4)/(2x − 6)
- (x + 4)/(x − 3)
- 4x/(x − 3)
2.
Luz works out (2x + 1)/(x + 4) − (x − 3)/(x + 4) in pencil. Which is the answer in simplest form?
- (3x − 2)/(x + 4)
- (x − 2)/(x + 4)
- 1
3.
Milo works out (3x + 2)/(x − 1) − (x + 6)/(x − 1) from a math book. Which is the answer in simplest form?
- (4x + 8)/(x − 1)
- (2x + 8)/(x − 1)
- (2x − 4)/(x − 1)
4.
Noah adds 1/((x + 1)(x − 4)) + 3/((x − 4)(x + 2)) on a worksheet. Which is the least common denominator (LCD)?
- x − 4
- (x + 1)(x − 4)(x + 2)
- (x + 1)(x − 4)²(x + 2)
5.
Ren adds 4/((x − 2)(x + 5)) + x/((x + 5)(x − 6)) in pencil. Which is the least common denominator (LCD)?
- x + 5
- (x − 2)(x + 5)²(x − 6)
- (x − 2)(x + 5)(x − 6)
6.
Tala adds 7/(3(x − 1)) + 2/(x(x − 1)) from a math book. Which is the least common denominator (LCD)?
- x − 1
- 3x(x − 1)²
- 3x(x − 1)
Zee writes 3/(x + 2) + 2/(x − 1) over the bottom (x + 2)(x − 1) on a worksheet. What is the top, multiplied out and combined?
Ari writes 4/(x − 3) + 1/(x + 5) over the bottom (x − 3)(x + 5) in a notebook. What is the top, multiplied out and combined?
Bo writes 5/(x + 1) − 2/(x + 4) over the bottom (x + 1)(x + 4) in pencil. What is the top, multiplied out and combined?
Esme writes 6/(x − 2) − 3/(x + 3) over the bottom (x − 2)(x + 3) from a math book. What is the top, multiplied out and combined?

Add and subtract rational expressions, and simplify complex fractions. Every version has 10 questions, and the answer key prints on the second page.

I can find the least common denominator of rational expressions from their factors.
I can add and subtract rational expressions, taking away the whole second top.
I can simplify a complex fraction by multiplying every term by the LCD.

Standard: A-APR.D.7 (+)

LCD: The least common denominator: the smallest bottom both fractions can share.

scale a top: Multiply a top by the same factor its bottom was multiplied by.

complex fraction: A fraction with fractions in its top or bottom.

like denominators: Bottoms that are the same, so the tops can be combined.

Added the tops and also added the bottoms.

Changed the bottoms to a common bottom but did not multiply the tops to match.

Subtracted only the first part of the second top. Ask your child to put the second top in brackets before subtracting.

Ask: is 1/2 + 1/3 equal to 2/5?

Ask: 1/2 is how many sixths?

What is the most common mistake with add and subtract rational expressions, and simplify complex fractions?

Added the tops and also added the bottoms.

How can I help my child with add and subtract rational expressions, and simplify complex fractions?

Ask: is 1/2 + 1/3 equal to 2/5?

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.

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