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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Systems of Linear Equations and InequalitiesSection:Graphing and Solving Systems of Linear Inequalities
 

Problem: 1

State which points, (2 , 3) ( 1, –2) or (–2 , 1), satisfy the inequality.

x + 3y 6


Problem: 3

Solve the inequality.


Problem: 5

Graph the inequality.

y – 3 0


Problem: 7

Graph the inequality.

4x + 2y 8


Problem: 9

Graph the inequality .


Problem: 11

Graph the system of linear inequalities.

x 6

x –5


Problem: 13

Graph the system of linear inequalities.

y – 1

x 2


Problem: 15

Graph the system of linear inequalities.

2x + y 0

3xy 0


Problem: 17

Graph the system of linear inequalities.

y 1


Problem: 19

Graph the system of linear inequalities.

y 5

x –2

y x


Problem: 21

Graph the system of linear inequalities.

3x – 5y –8

7x –5y 5

x+ 5y –5


Problem: 23

Graph the system of linear inequalities.

x + y 5

x+ y –2

x y –3

xy 3


Problem: 25

Graph the system of linear inequalities.

x 1

y 1

x + y 9

xy 4


Problem: 27

Graph the system of inequalities.

|x| 3

|y| 4


Problem: 29

Choose a system of two inequalities from the ones given below, for which

(–4, –9) is a solution.


Problem: 31

Choose a system of two inequalities from the ones given below, for which (–11, 11) is a solution.


Problem: 33

Represent the shaded area using a system of inequalities.


Problem: 35

Find an ordered pair solution of the system.

xy 2

y 10


Problem: 37

Find an ordered pair solution of the system.

y –6

x 4

3x + y 21


Problem: 39

Find the ordered pair that is not a solution of the given system of inequalities.

5x + 3y –3

xy 4

A. (0, 0)

B. (–1, 2)

C. (5, 1)

D. (2, 2)


Problem: 1

State which points, (2 , 3) ( 1, –2) or (–2 , 1), satisfy the inequality.

x + 3y 6


Problem: 3

Solve the inequality.


Problem: 5

Graph the inequality.

y – 3 0


Problem: 7

Graph the inequality.

4x + 2y 8


Problem: 9

Graph the inequality .


Problem: 11

Graph the system of linear inequalities.

x 6

x –5


Problem: 13

Graph the system of linear inequalities.

y – 1

x 2


Problem: 15

Graph the system of linear inequalities.

2x + y 0

3xy 0


Problem: 17

Graph the system of linear inequalities.

y 1


Problem: 19

Graph the system of linear inequalities.

y 5

x –2

y x


Problem: 21

Graph the system of linear inequalities.

3x – 5y –8

7x –5y 5

x + 5y –5


Problem: 23

Graph the system of linear inequalities.

x + y 5

x + y –2

x y –3

x y 3


Problem: 25

Graph the system of linear inequalities.

x 1

y 1

x + y 9

xy 4


Problem: 27

Graph the system of inequalities.

|x| 3

|y| 4


Problem: 29

Choose a system of two inequalities from the ones given below, for which

(–4, –9) is a solution.


Problem: 31

Choose a system of two inequalities from the ones given below, for which (–11, 11) is a solution.


Problem: 33

Represent the shaded area using a system of inequalities.


Problem: 35

Find an ordered pair solution of the system.

xy 2

y 10


Problem: 37

Find an ordered pair solution of the system.

y –6

x 4

3x + y 21


Problem: 39

Find the ordered pair that is not a solution of the given system of inequalities.

5x + 3y –3

xy 4

A. (0, 0)

B. (–1, 2)

C. (5, 1)

D. (2, 2)