Complex Numbers, Quadratics and Rational Expressions

Mathketball ReviewTeam Test tomorrow – Friday March 7, 2014

Homework

Quiz questions

• Any questions from the quiz you got back yesterday??

Materials

• Each team needs a white board and a piece of paper.

• If your color comes up – you do the problem on the white board and come up to me to shoot.

• EVERYONE else in the team needs to do the problem on their paper

• Winning team gets a treat tomorrow

#1 – Simplifying Complex Numbers (a+bi form)

• Simplify the following Complex Expressions – leave answers in a+bi form

2) 6 15 8 20

) 4 (3 5 ) 13 2

a i i

b i i i

Solution #1

-43

#2 – Simplify Complex Fractions (a+bi form)

• Make sure to multiply by the denominator BUT change the sign

2 52 6

ii

Solution #2

#3- Solving a Quadratic (using square roots)

• Solve the following quadratic equations• It is helpful to square root both sides INSTEAD

of multiplying first in some cases (like this )2

2

) ( 3) 36

) ( 2) 100

a x

b x

Solution #3

#4 – Solving with radicals

• Solve by squaring both sides. Please check your solutions in the original equation to make sure they work.

• Do BOTH solutions work???

2 4x x

Solution #4

#5 – Completing the Square to Solve

• Solve the following quadratic by completing the square – the goal is to get the equation

in and then take the sq. root of both sides.

2( )x h a

2 8 3x x

Solution #5

#6 – Powers of i

Simplify the following expressions to a+bi form by using the powers of i.

30

12 11 10 9

)

)

a i

b i i i i

Solution #6

#7 – Multiplying Rational Expressions

Multiply and then simplify the following rational expression. You may want to factor first.

2 2

2

8 12 4 1236 3

x x x xx x

Solution #7

#8 – Adding/Subtracting Rational Expressions

• Add and subtract the following expressions• Find the LCD (least common denominator 1st)

3 12)4 4

3 2)4 5

xax x

xbx x

Solution #8

#9 – Simplifying Rational Expressions

• Anyone can shoot for this problem.• DOUBLE points!

2

2 2

3 910 100

x xx x x

Solution #9

Homework

• Study ALL your quizzes and yellow packets from this unit.

• The test will include:– Simplifying Complex Expressions– Solving Quadratics– Multiplying/Dividing , Adding/Subtracting Rational

Expressions• TEAM TEST TOMORROW!!!