Algebra 1 Topic 2 Review

Solving Inequalities

100

s-(-1)>=2

What is 

s>=1?

200

1<=-1/4y

What is 

-4>=y

300

5/2<=c+1/2

What is 

2<=c

400

8<=-4(d+1)

What is 

-3>=d?

500

10.2> -3(x+1)

What is 

-4.4< z

Compound Inequalities

100

15>=-5g>=-10

What is 

-3<=g<=2

200

2t+6> 10 or -t+7<=2

What is 

t<2 or t>=5?

300

38< 9-2c<4

 What is "No Solution"?

400

-8<=1/3(6x+24)<=12

What is 

-8<=x<=2

500

14> -0.6x+0.2 or 3x+9<=18

What is  "All Real Numbers"?

Absolute Value Equations

100

|y+2|=8

What is 

y=-10, y=6?

200

|3x+12|=0

What is 

x=4?

300

|6-5v|+2=1

What is "No Solution"?

400

2|0.2g+8|=10

What is 

g=-65, g=-15?

500

3|2x+5|+10=37

What is 

x=-7, x=2?

Absolute Value Inequalities

100

|q/3|>2

What is 

q<-6 or q>6

200

3|2a+5|+10<=37

What is 

-7<=a<=2?

300

|f+12|> -4

What is "No Solution"? 

400

|x/4-7|<-2

What is "No Solution"?

500

|4x-7|+8>=17

What is 

x<=-1/2 or x>=4

Word Problems

100

You want to spend less than 2 hours on your cell phone. You spend 38 minutes watching a video.  Write and solve the inequality.

What is 

x+38<120

You can use your cell phone less than 82 more minutes. 

200

The area of the rectangle is at least 140 square cm. Find the possible values of x.  (see #13 on 2.4)

What is 

x>=4?

300

A safety regulation states that the height of a handrail should be no more than 37 inches and no less than 30 inches.  Write an inequality that represents the acceptable heights of a handrail. 

What is 

30<=x<=37?

400

A machine should fill a bag with 50 pounds of sand.  The actual mass is allowed to vary by up to 2 ounces. What are the minimum and maximum masses for the bag of sand? 

What is between 48 and 52 ounces?

500

The difference between the areas of the figures is at most 6.  (see #15 on 2.6) 

Write and solve an inequality that represents the situation. 

What is 

-1<=x<=2?