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Linear Inequalities in 2 Variables

Total questions: 14

Worksheet time: 23mins

Name
Class
Date
1.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

2.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

3.

Angela wants to spend less than Php 200 on condiments. Each kilogram of salt costs Php 30, and each kilogram of pepper costs Php 90. Write an inequality that represents the number of kilograms of salt (s) and pepper (p) Angela can buy on her budget.

a)

30s + 90p > 200

b)

30s + 90p ≥ 200

c)

30s + 90p < 200

d)

30s + 90p ≤ 200

4.

For this symbol,
 \le 
do you shade above or below the line?

a)
b)
5.

For this symbol,
 \ge 
do you shade above or below the line?

a)
b)
6.

Match the inequality to the graph.

a)

yx+2y\le x+2

b)

y<x+2y<x+2

c)

y>x+2y>x+2

d)

yx+2y\ge x+2

7.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
8.
Is (-1, 0) a solution to this inequality?
a)
Yes
b)
No
9.
Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables
a)
8x + 10y < 162
b)
8x + 10y > 162
c)
8x + 10y ≤ 162
d)
8x + 10y ≥ 162
10.

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least $23. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

a)

4𝑥 + 7𝑦 ≥ 23

b)

4𝑥 + 7𝑦 ≤ 23

c)

4𝑥 + 7𝑦 > 23

d)

4𝑥 + 7𝑦 < 23

11.

Which of the following equations match the given graph?

a)

y ≥ -3/4 x - 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

12.

Select the solution of the inequality

a)
b)
c)
d)
13.

Select the inequality that matches the solution

a)
b)
c)
d)
14.

Select the solution for the inequality

a)
b)
c)
d)