Chapter 4 Closure

Factoring

100

x²+6x+8

(x+4)(x+2)

200

3x²+15x+12

3(x+4)(x+1)

300

2x²+4x+2

2(x+1)(x+1)

(x+1)²

400

x²=36

(x+6)(x-6)

500

x²+2ax+a²

(x+a)(x+a)

(x+a)²

Trig

100

102.a

sin15=x/20

x=20*sin15=5.2

200

102.b

tan15=5/x

x=5/tan15=18.7

300

102.c

6²+12²=x²

x=sqrt(180)=6sqrt5=13.4

Similarity

100

103.

Determine the value of x.

x=9

200

103.

Determine the value of y.

y=4

300

103.

Determine the value of z.

z=6 2/3

Probability

100

104a.

What is the probability (represented as a percent) that a randomly selected participant was 20 years old or older?

75%

200

104b.

152 of the participants under 20 years old chose cracker A as their favorite.  Calculate the probability that a participant chose cracker A or was under 20 years old.

46.9%

300

104c.

What is the probability that a participant did not choose cracker A and was 20 years old or older?

53.1%

400

106.a

What is the probability that the player will select some rap music next?

5/22=0.23

500

106b.

Calculate P(traditional), that is, the probability that the player will randomly select traditional music of any kind.

12/22=0.55

Probability #2

300

106.c.

Calculate P(traditional pop).

3/22=0.14

400

106.d.Calculate P(not country), the probability that the next song is not country music.

14/22=0.64