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Solving Inequalities

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

 1  x  8 1\ \le\ x\ -\ 8\   

a)

 x  9 x\ \le\ 9\   

b)

 x  9 x\ \ge\ 9\   

c)

 x   9 x\ \le\ -\ 9\   

d)

 x   9 x\ \ge\ -\ 9\   

2.

x - 12 > - 4

a)

x > - 16

b)

x > 8

c)

x < - 16

d)

x < 8

3.

  8  8 + x -\ 8\ \le\ 8\ +\ x\   

a)

 x  0 x\ \le\ 0\   

b)

 x  0 x\ \ge\ 0\   

c)

 x   16 x\ \le\ -\ 16\   

d)

 x   16 x\ \ge\ -\ 16\   

4.

a number minus 3 is at least - 5

a)

3x 5 3x\ \ge\ -\ 5\

b)

x 3 5 x\ -\ 3\ \le\ -\ 5\

c)

x 3 5 x\ -\ 3\ \ge\ -\ 5\

d)

3x 5 3x\ \le\ -5\

5.

A NHL hockey star has 29 goals which leads the league! What inequality shows everyone else's goals?

a)

x > 29

b)

x = 29

c)

x < 29

d)

none of these

6.

Logan caught a 3 pound bass using a watermelon-red lizard. Show the inequality that can be used to represent all of the bigger fish in the lake !

a)

x > 3

b)

x < 3

c)

x = 3

d)

none of these

7.

In order to hit a home-run on the softball field the ball must travel further than 250 feet. Show an inequality that represents all the home runs!

a)

none of these

b)

x < 250

c)

x = 250

d)

x > 250

8.

3x < -9

a)

x < 3

b)

x < - 3

c)

x > 3

d)

x > - 3

9.

35 < 7x

a)

x < 5

b)

x > 5

c)

x < - 5

d)

x > - 5

10.

 x5 > 25 \frac{x}{5}\ >\ 25\   

a)

x > 5 

b)

x > 125 

c)

x < 5 

d)

x < 125 

11.

  16  83 x -\ 16\ \le\ \frac{8}{3}\ x\   

a)

 x   6 x\ \le\ -\ 6\   

b)

 x   6 x\ \ge\ -\ 6\   

c)

 x   42.7x\ \ge\ -\ 42.7  

d)

 x   42.7x\ \le\ -\ 42.7  

12.

You have $5.00 and you want to buy candy at the concession stand. Each piece of candy costs $.75. How much candy can you buy?

a)

7 pieces

b)

6 pieces

c)

5 pieces

d)

4 pieces

13.

50 > - 10 x

a)

x > - 5

b)

x < - 5

c)

x > - 500

d)

x < - 500

14.

  8 x  48 -\ 8\ x\ \ge\ 48\   

a)

 x   6 x\ \ge\ -\ 6\   

b)

 x  34x\ \ge\ 34  

c)

 x  34x\ \le\ 34  

d)

 x   6 x\ \le\ -\ 6\   

15.

 8 + x > 11 8\ +\ x\ >\ 11\   

a)

x > 3

b)

x < 3 

c)

x > 19 

d)

x < 19