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Worksheets

Inequalities Test Review

Total questions: 11

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

New Mark middle school hopes to raise more than $3000 for cancer. Every time a student donated $40 they would get to pie a math teacher in the face. How many donations would it take for the students to reach or exceed their goal?

a)

40p>300040p>3000  

b)

300040p3000\ge40p  

c)

40p180>300040p-180>3000  

d)

No solution

2.

Peter begins his kindergarten year able to spell 10 words. He is going to learn to spell 2 words every day. Write an inequality to determine the minimum number of days it will take for him to be able to spell at least 75 words.

a)

10+2w7510+2w\le75  

b)

10 + 2w7510\ +\ 2w\ge75  

c)

2w10=752w-10=75  

d)

Infinite solutions

3.

Solve the inequality.

3<5n+2n3<-5n+2n  

a)

1>n-1>n  

b)

1<n-1<n  

c)

6>n6>n  

d)

9>n-9>n  

4.

Solve the following inequality.

6x+2+6x<146x+2+6x<14  

a)

x<1x<1  

b)

x<1x<-1  

c)

x>1x>1  

d)

x>1x>-1  

5.

Solve the following inequality.

p4p>10-p-4p>-10  

a)

p<2p<2  

b)

p<2p<-2  

c)

p>2p>2  

d)

p>2p>-2  

6.

Solve the following inequality.

185k+4k18\ge5k+4k  

a)

2k2\ge k  

b)

2k2\le k  

c)

2k-2\ge k  

d)

2k-2\le k  

7.

Solve the following inequality.

92m+239\ge-2m+2-3  

a)

5m-5\le m  

b)

5m-5\ge m  

c)

5m5\ge m  

d)

5m5\le m  

8.

Solve the following inequality.

36(4x+6)>111-3-6\left(4x+6\right)>-111  

a)

x<3x<3  

b)

x<3x<-3  

c)

x>3x>3  

d)

x>3x>-3  

9.

Solve the following inequality.

64(6n+7)1226-4\left(6n+7\right)\ge122  

a)

n6n\le-6  

b)

n6n\ge-6  

c)

n6n\le6  

d)

n6n\ge6  

10.

Solve the following inequality.

1386(6b7)-138\ge-6\left(6b-7\right)  

a)

5b5\le b  

b)

5b5\ge b  

c)

5b-5\le b  

d)

5b-5\ge b  

11.

George wanted to start his own painting business. He bought a ladder and some supplies for $180. He plans on charging $10 per hour painting. How many hours will George have to work if he is to make at least a profit of $750? Match the correct inequality to the situation.

a)

180 + 10h 750180\ +\ 10h\ \ge750  

b)

10h  180 75010h\ -\ 180\ \ge750  

c)

10h+180 75010h+180\ \le750  

d)

10h+75018010h+750\le180