SM2H Final Review

Factoring Quadratics

100

Factor:

x²+7x+10

(x+2)(x+5)

200

Factor:

3x²-33x+90

3(x-5)(x-6)

300

Factor:

16x²-81

(4x+9)(4x-9)

400

Factor:

3x²-10x+8

(3x-4)(x-2)

500

Factor:

4x³+x²-36x-9

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

Solving Quadratics

100

Solve for x:

x²-25=0

x=5 and x=-5

200

Solve for x:

x²+9x+20=0

x=-5 and x=-4

300

Solve for x:

x²+3x-28=x-4

x=4 and x=-6

400

Solve for x:

25x²-64=0

x=8/5 and x=-8/5

500

Solve for x:

x³-3x²-18x=0

x=0, x=-3, and x=6

Evaluating Trig

100

sin(30^o)=

1/2

200

cos(7𝞹/6)=

-√3/2

300

tan(7𝞹/4)=

-1

400

cos(3𝞹/2)=

0

500

tan(𝞹/2)=

Undefined

Solving Trig Equations

100

Solve for θ on the interval [0,2𝞹)

sin(θ)=1/2

θ=𝞹/6 and θ=5𝞹/6

200

Solve for θ on the interval [0,2𝞹)

cos(θ)=-1/2

θ=2𝞹/3 and θ=4𝞹/3

300

Solve for θ on the interval [0,2𝞹)

tan(θ)=1

θ=𝞹/4 and θ=5𝞹/4

400

Solve for θ on the interval [0,2𝞹)

sin(θ)=0

θ=0 and θ=𝞹

500

Solve for θ on the interval [0,2𝞹)

tan(θ)=undefined

θ=𝞹/2 and θ=3𝞹/2

Misc Trig

100

Factor:

sin²x+10sinx+24

(sinx+6)(sinx+4)

200

The point (2, -5) lies on the terminal side of θ. What is sin(θ)?

sin(θ)= -5/√29

300

If sin(θ)<0 and tan(θ)>0, then θ is in Quadrant ____.

Quadrant III

400

If sin(θ)=3/5 and cos(θ)<0, then what is tan(θ)?

tan(θ)= - 3/4

500

If tan(θ)=5/8 and cos(θ)<0, then what is sin(θ)?

sin(θ)= -5/√89