Name: ____________________ Math 10F&PC H. Period: _____________

Chapter 6 – Rational Expressions & Equations 6.3 – 6.4 Quiz 2

Instructions: Show all work. Each question is worth 3 marks.

1. Add and subtract. Please simplify and write answers in lowest terms. However, you do not need to

expand out the lowest common denominator. They can be left in factored form.

a) 2 2

3 5x y

x y x y

b) 2

2

1 2

1 2 2 2 4

x x

x x x x

c) 2 22 10 12 12

2 3

x x x x

x x

2. Solve for “x”. x

x

x

x

x

x

x

x

1

2

2

52

2

1

1

32 Show all work.

3. It takes Mr. Lee 9 hours longer to create a math notes package than it takes Mr. Marzouk. If they

work together, they can create the math notes package in 20 hours. How long would it take each,

working alone, to build the math notes package? Set up a rational equation and solve. Show all

work.

Bonus:

If 31

2

aa , determine the value of

3

3 1

aa