Probability
Trig
Factoring
Quadratic
Quadratic #2
100

143 a.

For each diagram, write an equation and solve for the value of each variable.

tanx=5/8

x=32

100

137. Completely factor the following expressions, if possible.


a. 4k2+14k+12

2(2k+3)(k+2)

100

139. What are the coordinates of the x-intercept of y=x2−2x−15?

(5,0) and (-3, 0)

100

138. Factor and use the Zero Product Property to solve the following equations.

a. 0=x2−7x+12

x=3, 4

200

143. b. 

For each diagram, write an equation and solve for the value of each variable.

costheta=10/11

theta=24.62

200

137. Completely factor the following expressions, if possible.

b. 3x2-75

3(x-5)(x+5)

200

139. What are the coordinates of the y-intercept of y=x2−2x−15?

(0, -15)

200

138. Factor and use the Zero Product Property to solve the following equations.

b. 0=6x2-23x+20

x=5/2, 4/3

300

142. There are 212 students enrolled in geometry at West Valley High School.  Of these students, 64 are freshman, and 112 are sophomores.

a. If a random geometry student is chosen, what is the chance (in percent) that the student is a freshman or sophomore?

176/212=83%

300

143. c. 

For each diagram, write an equation and solve for the value of each variable.

sintheta=4/5 

theta=53.1

300

Write an equation to match each of the representations below


a. 

y=(x-1)(x+1) or y=x2-1

300

138. Factor and use the Zero Product Property to solve the following equations.

c. 0=x2-9

x=-3, 3

400

142. There are 212 students enrolled in geometry at West Valley High School.  Of these students, 64 are freshman, and 112 are sophomores.

114 of the geometry students perform in band and 56 perform in chorus.  There is a 75% chance that a geometry student performs in either band or chorus.  What is the probability a geometry student performs both in band and in chorus? 


75%=114/212+56/212-x

x=5.2%

400

143. d. 

For each diagram, write an equation and solve for the value of each variable.

cosy=9/10

y=25.8

400

Write an equation to match each of the representations below


b. 

y=-(x-5)(x+2) or y=-x2+3x+10
400

138.  Factor and use the Zero Product Property to solve the following equations.

  1. 0=x2+12x+36

x=-6

500

137. Completely Factor


c. 2x3y+8x2y+6xy2

2xy(x2+4x+3y)

500

141. Solve the quadratic equations by completing the square. Leave your solutions in exact form.

a. x2−6x−12=0

(x-3)2=21


x=3+-sqrt(21)

x=7.58 or -1.58

500

141. Solve the quadratic equations by completing the square. Leave your solutions in exact form.

b. x2-3=4x

(x-2)2=7


x=2+-sqrt7

x=4.65 or -0.65

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