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Write, Solve & Graph Inequalities Test

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Graph  x>3x>-3  

a)

a

b)

b

c)

c

d)

d

2.

Solve. 8x<248x<24  


a)

 x<3x<3  

b)

 x3x\le3  

c)

 x3x\ge3  

d)

 x>3x>3  

3.

Write the compound inequality for this graph.

a)

A

b)

B

c)

C

d)

D

4.

Write the inequality for this graph.

a)

A

b)

B

c)

C

d)

D

5.
a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

Solve. 6(x+4)>126\left(x+4\right)>12  

a)

 x<4x<4  

b)

 x>2x>-2  

c)

 x>2x>2  

d)

 x<2x<-2  

8.

Solve. 9m+3m2>1309m+3m-2>130  

a)

 m<11m<11  

b)

 m<12m<12  

c)

 m>12m>12  

d)

 m>11m>11  

9.

Solve. 5x6<34-5x-6<34  

a)

 x>8x>-8  

b)

 x<8x<-8  

c)

 x>8x>8  

d)

 x<8x<8  

10.

Solve. 6a+53a<416a+5-3a<41  

a)

 a<4a<4  

b)

 a>16a>16  

c)

 a>15a>15  

d)

 a<12a<12  

11.

Write an inequality.

A rollercoaster requires riders to be at least 60 inches tall.

a)

h>60h>60

b)

h60h\ge60

c)

h<60h<60

d)

h60h\le60

12.

Solve.  

 72x11<5-7\le2x-11<5  

a)

 8<x28<x\le2  

b)

 2<x<82<x<8  

c)

 2x<82\le x<8  

d)

 2x82\le x\le8  

13.

Solve. 82x4<4-8\le2x-4<4  


a)

A

b)

B

c)

C

d)

D

14.

Which graph represents x<5 or x>5x<-5\ or\ x>5  ?


a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

15.

Which inequality represents the situation "at most 6 people can ride in the car"?

a)

p>6p>6

b)

p6p\ge6

c)

p<6p<6

d)

p6p\le6

16.

Solve. 4x1>9  or 3x+4>194x-1>-9\ \ or\ -3x+4>19  

a)

 x>2 or x>5x>-2\ or\ x>-5  

b)

 x>2 or x>5x>2\ or\ x>5  

c)

 x>2 or x<5x>-2\ or\ x<-5  

d)

 5<x<2-5<x<-2  

17.

Which graph is the solution to:  5x>7x5-x>7x  

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

18.

Solve. 2x+94x72x+9\ge4x-7  

a)

 x8x\le-8  

b)

 x8x\le8  

c)

 x8x\ge8  

d)

 x8x\ge-8  

19.

 12+10w8(w+12)12+10w\ge8\left(w+12\right)  

a)

 w42w\ge-42  

b)

 w48w\ge48  

c)

 w42w\ge42  

d)

 w54w\ge54  

20.

Solve and graph: 

 x42-\frac{x}{4}\le2  

a)

A

b)

B

c)

C

d)

D