Unit 1 Review

Equations and Number of Solutions

100

4b+14=22

b=2

200

92=-4(2r-5)

r=-9

300

-(7-2x)+7=-7

x= -7/2 or -3 1/2

400

6y-8=2(3y-4)

Infinitely Many Solutions

500

5(5t+1)=25t-7

No Solution

Literal Equations

100

b/c = a

c=___

c=b/a

200

dfg=h

f=___

f=h/dg

300

abc= 1/2

b=___

b=1/2ac

400

8(x-a)=2(2a-x)

x= 6a/5

500

y(a-b)=c(y+a)

y= (ac)/(a-b-c)

Inequalities

100

x+9 > 15

x > 6

200

-3x > 15

x < -5

300

-2.1x+2.1 < 6.3

x > -2

400

2x+5>-3 and 4x+7<15

x>-4 and x<2

500

2(4x+3)>-10 or -5x-15>5

x<-4 or x>-2

Absolute Value Equations

100

|x|+3 = 5

x=2, x=-2

200

|x-3|-4=5

x=12, x=-6

300

|x+2|+7=3

No Solution

400

|2x-8|=16

x=-4, x=12

500

3|x-2|-8=7

x=-3, x=7

Absolute Value Inequalities

100

|x|-8>2

x<10 or x>10

200

|x|-8<-2

x>-6 and x<6

300

|4x-12|<20

x>-2 and x<8

400

-2|x+4|<-6

x<-7 or x>-1

500

-2|2x+4|+10>-6

x>-6 and x<2