SOH CAH TOA
Trinomials with an 'a' value of 1
Square Roots, FOIL and Polynomial Multplication
Trinomials with an 'a' value greater than 1
Special Factoring (Perfect Squares/Difference of Squares/ETC)
100

In a right angle triangle  theta is equal to 35 degrees and the hypotneuse is 12cm. To one decimal place, what is the length of the side opposite  theta ?

6.9cm

100

Factor the following:


x^2 + 5x +6

(x+2)(x+3)

100

Expand the following:


(2x-5)(x+3)

2x^2+x-15

100

Factor the following:

2x^2+7x+3

(2x+1)(x+3)

100

Factor the following:


x^2+10x+25

(x+5)^2

200

In a right angled triangle, angle  theta  is equal to 60 degrees and the side adjacent to  theta  is 8m. To one decimal place, what is the length of the hypotenuse? 

16m

200

Factor the following:


x^2+9x+14

(x+2)(x+7)

200

Expand the following:


(3x-4)(2x+5)

6x^2+7x-20

200

Factor the following:


3x^2+11x+6

(3x+2)(x+3)

200

Factor the following:


4x^2-12x+9

(2x-3)^2

300

A kite is flying on a string that is 20 meters long. The kite is directly 12 meters off the ground. To one decimal place, find the angle of elevation of the kite. 

36.9 degrees

300

Factor the following:


x^2+2x-15

(x+5)(x-3)

300

Expand the following:


(x+3)(x^2+2x+5)

x^3+5x^2+11x+15

300

Factor the following:


4x^2-4x-3

(2x+1)(2x-3)

300

Factor the following:


x^2-16

(x+4)(x-4)

400

A tree stands on level ground. The angle of elevation from a point on the ground to the top of the tree is 42 degrees. That point is 9m away from the base of the tree. To one decimal place, what is the height of the tree? 

8.1m

400

Factor the following:



x^2-7x+10

(x-5)(x-2)

400

Using prime factorization solve the following:


sqrt361

19

400

Factor the following:


6x^2+13x-5

(3x-1)(2x+5)

400

Factor the following:


9x^2-25

(3x+5)(3x-5)

500

A 60 meter cliff is topped by a tower that is 15 meters tall. From the top of the tower, the angle of depression to a car ont he ground is 25 degrees. To one decimal place, what is the distance from the car to the base of the cliff? 

160.9m

500

Factor the following:


x^2+13x+40

(x+5)(x+8)

500

Expand the following:


(2x-4)(x^2-3x+7)

2x^3-10x^2+26x-28

500

Factor the following:


8x^2-2x-3

(4x-3)(2x+1)

500

Factor the following:


2x^3-8x^2+6x

2x(x-1)(x-3)

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