INTERACTIVE QUIZ

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1. Which of the following is a system of linear in two variables?

a. 2x + 2y = 8 c. x + 9y = 2

b. 3x + 5y = -2 x – 4y = 9

d. 4x + 1 = 8 3y – 7 = 11

2. What point is the intersection of the graphs of the lines x + y = 8 2x – y = 1 ?

a. ( 1, 8) c. (5, 3)

b. (3, 5) d. (2, 6)

3. How many solutions does a consistent and independent system of linear equations have?

a. 0

d. infiniteb. 1

c. 2

4. Which of the following ordered pairs satisfy both and ?

2 7 5x y 3 2?x y

a. (0,0)

b. (10,-1) d. (-2,-8)

c. (-4,5)

5. If 2x + y = 9 and 2x – y = 11, what is x equal to?

a. 4

d. 20b. 5

c. 10

6. Which system of equations has graph that shows intersecting lines?

a. 2x + 4y = 14 x + 2y =7

c. 4x + 8y = 7 x + 2y = 3

b. -3x + y = 5 6x – 2y = 1

d. 3x + y = 10 3x – y = 5

7. Mr. Agpalo paid Php 260 for 4 adult’s tickets and 6 children’s tickets. Suppose the total cost of an adult ticket and a children’s ticket is Php 55. How much does an adult ticket cost?

a. Php 20

d. Php 120 b. Php 35

c. Php 80

8. A car park charges Php 45 for the first 3 hours and Php 5 for every succeeding hour or a fraction thereof. Another car park charges php 20 for the first 3 hours and Php 10 for every succeeding hour or a fraction thereof. In how many hours would a car owner pay the same parking fee in any of the two car parks?

a. 2 hr

b. 3 hr d. 8 hr

c. 5 hr

9. Which of the following is a system of linear equations in two variables?

a. 2x + 5y = 7 x – 3y > 10

c. x – 7y = 5 3x + 2y > 15

b. 3x + 9 = -4 x – 2 = 8

d. 6x + 7 = 12 2y – 4 = 9

10. Luisa says that the system 3x + 2y = 2 and 2y = 15 – 6x has no solution. Which of the following reasons would support her statement?

I. The two lines as described by the equations in the system have the same slope.

II. The graph of the system of equations shows parallel lines.

III.The graph of the system of equations shows intersecting lines.

a. I and II

b. I and III

c. II and III

d. I, II and III

11. The Math club rented a sound system for their annual Mathematics Camp. They also rented a generator in case of power interruption. After the 3-day camp, the club paid a total amount of Php3,000, 3 days for the sound sytem and 2 days for the generator. If each is rented for 1 day, the club should have paid a total amount of Php1,1oo. What was the daily rental cost of the generator?

a. Php 300

b. Php 600 d. Php 2,400

c. Php 800

12. Mr Jacinto would like to instill the value of saving and to develop decision-making among her children. Which of the following situations should Mrs. Jacinto present to her children?

d. Buying and selling different items.

a. Buying assorted goods in a department store.b. Making bank deposits in two banks that give different interests.c. A person putting coins in his piggy bank.

13. It is a system of linear equations having infinitely many solutions.

d. None of the above.

a. System of consistent and dependent equations.b. System of consistent and independent equations.

c. System of inconsistent equations.

14. This is a system of linear equations having exactly one solution.

d. None of the above.

a. System of consistent and dependent equations.b. System of consistent and independent equations.

c. System of inconsistent equations.

15. This is a system of linear equations having no solution.

d. None of the above.

a. System of consistent and dependent equations.

b. System of consistent and independent equations.

c. System of inconsistent equations.

16. How many ways does a system of linear equations can be solved?

a. One

d. Fourb. Three

c. Two

17. This is the method of finding the solutions of a system of linear equations by graphing.

b. Elimination Method

c. Substitution Method

a. Graphical Method

d. None of the above

18. Which of the following ordered pairs satisfy both and ?

3 10x y 15x y

a. (-3, -3) c. (-6, 6)

d. (7, -4)b. (9, 1)

19. What point is the intersection of the graphs of the lines ? 9x y

a. (-5, 4)

d. (-4, 5)b. (4, 5)

c. (5, 4)

20. How many solutions does a consistent and dependent system of linear equations have?

c. 2

d. Infinite

a. 0

b. 1

21.The school canteens sails two kinds of sandwiches. Chicken sandwich costs Php 18neach while egg sandwich costs Php 10 each. Yesterday, the canteen was able to sell 260 sandwiches that cost Php 3,320. how many egg sandwiches were sold?

a. 80

b. 90 d. 330

c. 170

22. If 3x + 2y = 10 and 3x – 2y = 8, what is x equal to?

a. 1/2 c. 6

d. 18b. 3

23. Which system of equations has graph that shows parallel lines?

a. 5x + 2y = 12 x – 7y = 8

c. 3x + 9y = 4 x – 7y = 8

b. -3x + y = 5 6x – 2y = -10

d. 2x + y = 12 3x – y = 7

24. Laila says that the system has infinite number of solutions. Which of the following reasons would support her statement?

a. The two lines as described by the equations in the system have different slopes.b. The graph of the system of equations shows parallel lines.c. The two lines as described by the equations in the system coincide.d. The graph of the system of equations shows intersecting lines.

25. Mr Rosales bought 2 kg of mango and 6 hd bought of banana. She paid a total amount of Php 360. If she had bought a kilo of each kind os fruits, the total amount that Mrs. Rosales should have paid was Php 100. How much does a kilo of mango cost?

c. Php 100

d. Php 120b. Php 60

a. Php 40

26. Which of the following is the system of linear inequality?

d. x + 2y > 5

a. 2x + 2y = 4

b. 3x + 7y = 7

c. 4 + y = 8

27. Which ordered pair is a solution of the system of linear inequality and ?

2 5 10x y 3 4 8x y

a. (3, 5)

b. (-2, -10) d. (5, 0)

c. (2, 15)

28. This corresponds to the coordinates of the points of intersection of the graphs of the equation.

d. Geogebra

a. Solution sets

b. Substitution

c. Solution to a system of linear equation

29. A set or collection of equations that ones solves all together at once.

a. Solution of a System

c. System of Linear Inequalitiesd. None of the above

b. System of Linear Equation

30. A set or collection of inequalities that once solve all together at once.

a. Solution of a System

b. System of Linear Equation

c. System of Linear Inequalitiesd. None of the above

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