Unit 1- Functions & Equations

Unit 1 Test Review Key

Lesson 1 HW Answers
#1a. Yes         d. Yes
b. Yes             e. No
c. Yes             f. Yes

#2a. d=Q/T or T-Q/d
b. GM=120 or m=120/G
c. k/x=0.5 or k/0.5=x
d. s=pt or t=s/p
e. 4=w+v or -x=w-4 or v=-w+4
f. x=z-w or w=z-x
g. k=m-5 or 5=m-k
h. p=j+h or -h=j-p

#3a. Direct
b. Neither
c. Inverse.
d. Direct
e. Neither

#4a. Direct
b. Inverse
c. Neither
d. Direct
e. Direct
f. Inverse
g. Direct
h. Inverse

#5a. 71
b. 3
c. 36
d. 1

#6a. x=37/3
b. x=53/3
c. x=12
d. x=-5

#7
Graph I   y=1/x                           Graph II y=0.5x^2                      Graph III y=1.5x
Graph IV y=-1/x                          Graph V y=1/sqrt(x)                   Graph VI y=1/(x^2)
Graph VII y=sqrt(x)                      Graph VIII y=-0.5x^2                 Graph IX y=2x^3


Lesson 2 HW Answers
#1a. 17   b. -3   c. 25

#2a. E & R direct, E & h direct
b. c & B direct, c & n, inverse
c. B and L direct, B and d^2 inverse
d. d=mt, d & m direct, d & t direct

#3a. V=khr^2
b. km/L
c. k(m1m2)/d^2

#4a. y=-2x+6, slope=-2 y-int=6
b. y=8/5x-4, slope=8/5 y-int=-4
c.y=-4/3x-5, slope=-4/3 y-int=-5

#5a. c=8s+12h
b. increase by $8/shirt, increase by $12/hat
c. 2400=8s+12h
d. (0,200), (300,0), (120,120), (240,20). Could be a lot more possible combinations!
​e. h=200-2/3s