Free Printable Q2M1 LINEAR INEQUALITIES AND SYSTEM OF LINEAR INEQUALITIES IN TWO VARIABLES

1.

Which of the following mathematical sentences illustrates a linear inequality in two variables?

a)

The value of twice a number x added by nine is less than 26.

b)

Thrice a number m is twice another number n.

c)

A number n multiplied by 8 results to twice a number p.

d)

Four times a number s subtracted from a number t is at most 33.

2.

What relation symbol illustrates the word “is at most”?

a)

<

b)

>

c)

≥

d)

≤

3.

Which of the following inequalities best represents the given graph?

a)

x + y < 0

b)

x – y > 0

c)

x + y ≥ 0

d)

x – y ≤ 0

4.

What is “twice a number x diminished by 5 is at most 9” in mathematical sentence?

a)

2x + 5 < 9

b)

2x – 5 > 9

c)

2x + 5 ≥ 9

d)

2x – 5 ≤ 9

5.

Given the inequality 3x – 5y < 6, how should the boundary line be drawn?

a)

solid line

b)

dotted line

c)

solid and dotted line

d)

cannot be determined

6.

Which ordered pair is a solution to the linear inequality y ≤ 5x – 4?

a)

(6, 0)

b)

(1, 2)

c)

(-1, -3)

d)

(0, -2)

7.

Which of following is NOT a part of the solution set of the graph?

a)

(2, -6)

b)

(4, 2)

c)

(5, -1

d)

(3, 2)

8.

Which graph best represents the inequality x + 2y ≤ 4?

a)

b)

c)

d)

9.

During the COVID-19 pandemic, many people need to search ways on how to earn money. Rolly needs to earn at least Php 7,000.00 to support his family. He is working x hours in a fast food restaurant in the morning earning Php 45.00 per hour. During the evening, he works y hours in a gasoline station earning Php 40.00 per hour. What inequality model represents the situation?

a)

45x + 40y < 7000

b)

45x + 40y > 7000

c)

45x + 40y ≤ 7000

d)

45x + 40y ≥ 7000

10.

During the COVID-19 pandemic, many people need to search ways on how to earn money. Rolly needs to earn at least Php 7,000.00 to support his family. He is working x hours in a fast food restaurant in the morning earning Php 45.00 per hour. During the evening, he works y hours in a gasoline station earning Php 40.00 per hour. If Rolly will work for 6 hours per day for 15 days in the fast food restaurant, which of the following number of hours does he need to work in the gasoline station to earn the money?

a)

71 hours

b)

72 hours

c)

73 hours

d)

74 hours

11.

During the COVID-19 pandemic, many people need to search ways on how to earn money. Rolly needs to earn at least Php 7,000.00 to support his family. He is working x hours in a fast food restaurant in the morning earning Php 45.00 per hour. During the evening, he works y hours in a gasoline station earning Php 40.00 per hour. Which of the following graphs shows the given situation?

a)

b)

c)

d)

12.

Mr. Sison wants to buy more than a total of 5 kilograms of pork and chicken for his family consumption but can spend a maximum of Php 1,000.00. A kilogram of pork (x) and fish (y) cost Php 200.00 and Php 100.00, respectively. Which of the following systems of linear inequalities shows the given situation?

a)

𝑥 + 𝑦 < 5 200𝑥 + 100𝑦 < 1000

b)

𝑥 + 𝑦 > 5 200𝑥 + 100𝑦 > 1000

c)

𝑥 + 𝑦 > 5 200𝑥 + 100𝑦 ≤ 1000

d)

𝑥 + 𝑦 > 5 200𝑥 + 100𝑦 ≥ 1000

13.

Mr. Sison wants to buy more than a total of 5 kilograms of pork and chicken for his family consumption but can spend a maximum of Php 1,000.00. A kilogram of pork (x) and fish (y) cost Php 200.00 and Php 100.00, respectively. How many kilograms of chicken can he buy if he decided to spend only 2 kilograms of pork?

a)

1

b)

2

c)

3

d)

4

14.

Mr. Sison wants to buy more than a total of 5 kilograms of pork and chicken for his family consumption but can spend a maximum of Php 1,000.00. A kilogram of pork (x) and fish (y) cost Php 200.00 and Php 100.00, respectively. Which of the following graphs represents the given situation?

a)