Free Printable Unit 4A - Rational Expressions

1.

Simplify $\frac{x^2-6x-7}{x^2-10x+21}$

a)

$\frac{\left(x-7\right)\left(x+1\right)}{\left(x-7\right)\left(x-3\right)}$

b)

$\frac{\left(x-1\right)}{\left(x+3\right)}$

c)

$\frac{\left(x+7\right)\left(x-1\right)}{\left(x+7\right)\left(x+3\right)}$

d)

$\frac{\left(x+1\right)}{\left(x-3\right)}$

2.

Simplify $\frac{x-5}{x^3}\cdot\frac{x^2-3x}{x-3}$

a)

$\frac{x\left(x-5\right)}{x^3}$

b)

$\frac{x-5}{x^2}$

c)

$x^2\left(x-5\right)$

d)

$-\frac{5}{x}$

3.

What is the rule for dividing Rational Expressions and Fractions?

a)

Multiply by LCD

b)

Simplify

c)

Keep, Change, Flip

d)

Cross Multiply

4.

Find the QUOTIENT of $\frac{n+8}{n-7}$ divided by $\frac{n^2+n-56}{n+2}$

a)

$\frac{n+2}{\left(n-7\right)\left(n-7\right)}$

b)

$\frac{\left(n+8\right)\left(n+8\right)}{n+2}$

c)

$\frac{n+2}{\left(n+7\right)\left(n-7\right)}$

d)

$\frac{\left(n+8\right)\left(n-8\right)}{n+2}$

5.

In order for me to add or subtract Rational Expressions, I need to make sure my fractions have common denominators.

a)

True

b)

False

6.

Look at the expression: $\frac{5}{x+3}+\frac{6}{x-8}$

How do I fill out A and B:

$\frac{5}{x+3}\ \cdot\frac{A}{A}+\frac{6}{x-8}\ \cdot\frac{B}{B}$

7.

What is the first step to solving this equation? $\frac{8x}{x-2}=\frac{2}{x-5}$

a)

Find the Least Common Denominator (LCD)

b)

Multiply by the Least Common Denominator

c)

Cross Multiply

d)

Multiply across the top

8.

What is the first step to solve this equation? $\frac{1}{6x^2}=\frac{1}{2x}+\frac{7}{6x^2}$

a)

Find the Least Common Denominator (LCD)

b)

Multiply by the Least Common Denominator (LCD)

c)

Cross Multiply

d)

Add the numorators

9.

Find the solution: $\frac{3}{x}-5=\frac{18}{x}$

a)

x=3

b)

x= $-\frac{1}{3}$

c)

No Solution

d)

x=-3

10.

What topic do you feel you need more practice with?

a)

Simplifying

b)

Multiplying/Dividing

c)

Adding/Subtracting

d)

Solving

Unit 4A - Rational Expressions

Total questions: 10

Worksheet time: 17mins

Similar Resources on Wayground