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Operations with Rational Expressions

Authored by Amy Brown

Mathematics

9th - 12th Grade

Used 2+ times

Operations with Rational Expressions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

When simplifying rational expressions, what is a restriction?

A value of a variable that makes the expression mathematically illegal.

A vertical asymptote

A hole in the graph

The negative or opposite of the denominator

The negative or opposite of the numerator

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How do we find the restrictions of a rational expression?

We set the numerator equal to zero and solve for the variable

We set the denominator equal to zero and solve for the variable

We plug zero into the numerator and simplify

We plug zero into the denominator and simplify

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the restrictions of:    c5c+5\frac{c-5}{c+5}  

 c5c\ne5  

 c5c\ne-5  

 c5c\ne5  and  c5c\ne-5  

(-5, 0)

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write this product in simplest form:
  6a2b15c35c4a\frac{6a^2b}{15c^3}\cdot\frac{5c}{4a}  

 30a2bc60ac3\frac{30a^2bc}{60ac^3}  

 a2bc2ac3\frac{a^2bc}{2ac^3}  

 30a2bc60ac3\frac{30a^2bc}{60ac^3}  

 ab2c2\frac{ab}{2c^2}  

5.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

What are the restrictions of:    8x(x+4)(x5)\frac{8x}{\left(x+4\right)\left(x-5\right)}  

(Pick all that apply!)

 x5x\ne5  

 x5x\ne-5  

 x0x\ne0  

 x4x\ne4  

 x4x\ne-4  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the following sum in simplest form:

 9x21+x+77\frac{9x}{21}+\frac{x+7}{7}  

 12x12x  

 12x+721\frac{12x+7}{21}  

 12x+2121\frac{12x+21}{21}  

 84x+147147\frac{84x+147}{147}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the following quotient in simplest form:

 8(p1)p+3÷p1p+3\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}  

 88  

 8p1p+3\frac{8p-1}{p+3}  

 8(p1)(p+3)(p+3)(p1)\frac{8\left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}  

 8(p1)(p+3) + (p1)(p+3)(p+3)(p1)\frac{8\left(p-1\right)\left(p+3\right)\ +\ \left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}  

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