Block E Math Olympics

Addition,Multiplication etc

100

Addition:

The sum of the added polynomials

( 2x²-2x+5)+(4x³-7x)

What is: 

4x³+2x²-9x+5

200

Multiplication:

 The product of the use of one of the rules for the square of a binomial given 

(4x-5y)²  

What is?:

(16x²-40xy+25y²)

300

Multiplication:

The product of the given problem:

(8-5z)(8+5z)simplify answer 

What is? :

64-25z²

400

Multiplication:

The product to the following problem

(8-5z)(8+5z)simplify answer 

What is? :

64-25z²

Factoring,Elimination etc.

100

Elimination:

The answer to the following using elimination 

4x+11y=41

4x-11y=-25

What is? :

Answer(2,3)

200

Factor the expression:

The answer to the following expression 

x²-6x-16(type answer in factored form)

What is? :

(x-8)(x+2)

300

Factor the expression:

The answer to the factored expression 

7y²+37y+10

What is? :

(y+5)(7y+2)

400

Factor the expression

The answer to the factored expression 

x²+11x+28

What is? :

(x+7)(x+4)

Foil and Methods etc.

100

FOIL:

The product of the given problem using FOIL:

(q-7)(q-5)

What is? :

q²-12q+35

200

Identify the vertex of the graph given: 

Graph can be found in slides 

What is ? :

(1,-3)

300

Distributive Property:

The answer to the following using the distributive property 

(2x+4)(3x²+5x-6)simplify your answer

What is? :

6x³+22²+8x-24

400

Multiple choice:

 The solution for the system given 

8y=-7x+28

3.5x+4y=14  

A.The system has one solution 

B.The system has no solution 

C.The system has infinitely many solutions

What is? :

C.The system has infinitely many solutions

Completing the Square,Square Rooting methods ect.

100

Complete the Square:

The completion of the square for the following problem

r²-30r+(.....)simplify the answer

What is? :

225

200

Finding Square Roots:

The equation found by finding the square roots 

x²=225(simplify as need)

is there an answer or is it not a real number 

What is? :

(-15,15)

300

7x+4y=13

7x+4y=22

[A. The system has one solution],[B. The system has infinitely many solutions],[C. The system has no solution]

What is? :

C.The answer has no solution

400

Multiple Choice: The answer to the following choice question

Determine the pair of lines 

x-6y=-9

y=5x-3

[A. More information needed][B. The two lines are parallel,][C. The two lines are perpendicular,][D. The two lines are neither parallel nor perpendicular]

What is? :

D.The two lines are neither parallel nor perpendicular