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Solving System of Linear Inequalities

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which point below is part of the solution set?

a)

(5, 0)

b)

(-1, -5)

c)

(3, -5)

d)

(0, -1)

2.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

3.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
4.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
<  2 

d)

y < 2x - 4
<   -2

5.

​ ​ (a)   ​ ​ (b)  

Choose from the below words

y>60x+2y>60x+2

y>2x+60y>2x+60

x+y60x+y\ge60  

x40x\le40  

x60x\le60

6.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
7.

Which is the graph of the system of inequalities?

a)
b)
c)
d)
8.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
 y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

9.

Which graph shows the system of linear inequalities?

a)
b)
c)
d)
10.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

11.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

12.

Which inequality is graphed on the given coordinate plane?

a)

 y  < 2x +2

b)

y > 1/2x - 2

c)

 y ≥ - 2x +2

d)

 y ≥ 2x - 2

13.

Which point is a solution of the system above?

a)

(0, 0)

b)

(0, 1)

c)

(1, 0)

d)

(1, 1)

14.

Which points are solutions to the system of inequalities? Select all that apply.

a)

(3, 3)

b)

(4, 2)

c)

(0, 0)

d)

(6, 1)

e)

(5, 5)

15.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

16.

This graph represents the inequality  y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

17.

Which system of inequalities matches the graph?

a)

y > 2x - 4
x ≥ 2

b)

y < 2x - 4
< 2

c)

y > 2x - 4
< 2 

d)

y < 2x - 4
y ≥ 2

18.

Which system of inequality is shown?

a)

y > -4/5x - 1
y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1
y ≤ 2/3x + 3

c)

y < -4/5x - 1
 y < 2/3x + 3

d)

y = -4/5x - 1
y ≥ 2/3x + 3

19.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

20.

Is (-2,4) a solution to the system?

a)

Yes

b)

No