1. What do you call if two or more linear inequalities are considered together?
A. Group of Linear Inequalities C. System of Linear Inequalities
B. Pack of Linear Inequalities D. Set of Linear Inequalities
2. Which of the following is a graph of a system of linear inequalities in two
variables?
A. C.
B. D.
3. Which of the following ordered pairs satisfies both 2 + 7 > 5 and 3 – ≤
2?
A. (0, 0) B. (-4, 6) C. (10, -1) D. (-2, -8)
4. Determine the test point that makes the system of linear inequalities true.
A. (1, −2) B. (5, −3) C. (7, 1) D. (5, 4)
5. The Dela Ramas want grilled chicken and tilapia for dinner. They find that
chicken sells at Php 150 per kilogram and tilapia sells at Php 100 per
kilogram. How many kilograms of each can they buy if the total cost is not to
exceed Php 450?
A. 4 kg of chicken and 1 kg of tilapia
B. 1 kg of chicken and 3 kg of tilapia
C. 2 kg of chicken and 3 kg of tilapia
D. 1 kg of chicken and 4 kg of tilapia2
6. Which of the following graphs represents the system {
2 − 5 ≤ 3
− 3 ≤ 1
?
A. C.
B. D.
7. Which system is not equivalent to + < 3 and 2 − > 1 ?
A. {
+ < 3
−2 + < −1
C. {
2 + 2 < 6
2 − > 1
B. {
− − > −3
2 − > 1
D. {
+ < 3
2 + < 1
8. Maria makes home decorations. It takes her 2 hours to make a bouquet and
1 hour to make a basket. She can work no more than 40 hours per week.
The cost to make one bouquet is Php 150 and the cost to make a basket is
Php 100. She can afford to spend no more than Php 3600 per week. Write a
system of inequalities to describe the situation in the problem.
A. {
2 + > 40
150 + 100 ≤ 3600 C. {
2 + ≤ 40
150 + 100 ≤ 3600
B.{
2 + ≤ 40
150 + 100 < 3600 D. {
2 + < 40
150 + 100 ≤ 3600
9. Which of the following shows the graph of the system {
2 + < 2
− 4 > 9
?
A. C. 3
B. D.
10. It is the set of points whose coordinates satisfy all the inequalities in the
system.
A. Solution Set B. Points C. Coordinates D. Ordered Pairs