Linear Inequalities in Two Variables

1. Linear Inequalities in Two Variables Interactive Quiz

2. Instruction Choose the letter that corresponds to the best answer.

3. Question Index

4. Question 1 • Janel bought three apples and two oranges. The total amount she paid was at most Php 123. If “x” represents the number of apples and “y” the number of oranges, which of the following mathematical statements represent the given situation? a. 3x + 2y ≥ 123 b. 3x + 2y ≤ 123 c. 3x + 2y > 123 d. 3x + 2y < 123

5. Question 2 • How many solutions does a linear inequality in two variables have? • 0 • 1 • 2 • Infinite

6. Question 3 • Adeth has some Php. 10.00 and Php. 5.00 coins. The total amount of these coins is at most Php. 750.00. suppose there are 50 Php. 5-coins. Which of the following is true about the number of Php. 10-coins? • The number of Php. 10-coins is less than the number of Php. 5-coins. • The number of Php. 10-coins is more than the number of Php. 5-coins. • The number of Php.10-coins is equal to the number of Php. 5-coins a. I and II b. I and III c. II and III d. I, II, and III

7. Question 4 • Which of the following ordered pair is a solution of the inequality 2x + 6y ≤ 10? • (3,1) • (2,2) • (1,2) • (1,0)

8. Question 5 • What is the graph of linear inequalities in two variables? • Straight line • Parabola • Half-plane • Half-parabola

9. Question 6 • The difference between the scores of Connie and Minnie in the test is not more than 6 points. Supposed Connie's score is 32 points what could be the score of Minnie? • 26 and below • 26 to 38 • 38 and above • Between 26 and 38

10. Question 7 • In the inequality c – 4d ≤ 10, what could be the possible value of “d” if “c = 8”? • d ≤ - ½ • d ≥ - ½ • d ≤ ½ • d ≥ ½

11. Question 8 • Which of the following is a linear inequality in two variables? • 4a – 3b = 5 • 7c + 4 < 12 • 3x ≤ 16 • 11 + 2L ≥ 3s

12. Question 9 • There are at most 25 large and small tables that are placed inside a function room for at least 100 guests. Suppose only 6 people can be seated around the large table and only 4 people for the small tables. How many tables are placed inside the function room? • 10 large tables and 9 small tables • 10 large tables and 10 small tables • 10 large tables and 12 small tables • 6 large tables and 15 small tables

13. Question 10 • Mrs. Roxas gave the cashier Php. 500.00 bill for 3 adult tickets and 5 children tickets that cost Php. 400.00 suppose an adult ticket cost Php. 75.00. Which of following could be the cost of a children’s ticket? • Php. 60.00 • Php. 45.00 • Php. 35.00 • Php. 30.00

14. Question 11 • The total amount of Cora paid for 2 kilos of beef and 3 kilos of fish is less than Php. 700.00. Suppose a kilo of beef costs Php. 250.00. What could be the maximum cost of a kilo of fish to the nearest pesos? • Php. 60.00 • Php. 65.00 • Php. 66.00 • Php. 67.00

15. Question 12 • Which ordered pair is not a part of the solution set of 4y – 2x < 8? • (2,1) • (-3,-5) • (3,2) • (-4,4)

16. Question 13 • In the inequality 6a + 4b ≥ 10, what could be the possible value of “a” if “b=2”? • a ≤ 1/3 • a ≥ 1/3 • a < 1/3 • a > 1/3

17. Question 14 • Which of the following statement is an inequality? • The number of girls in the band is one more than twice the number of boys. • An average adult generates about 4 kg. of waste daily • The daily school allowance of Jillian is less than the daily school allowance of Gwyeth. • None of the above.

18. Question 15 • Which of the following is an example of linear inequality in two variable? • 6a + 4b ≥ 10 • x ≥ 3 • a + 4c = 15 • All of the above

19. Question 16 • A linear inequality in two variables can be written in one of the following forms except. • Ax + By < C • Ax + By = C • Ax + By ≤ C • Ax + By ≥ C

20. Question 17 • Which of the following ordered pairs are a part of the solution set for 5x + 5y ≥ 45? • {(0, 10), (5, 8)} • {(0, 10), (8, -3)} • {(-2, -5), (5, 8)} • {(-2, -5), (8, -3)}

21. Question 18 • Which of the following ordered pairs are a part of the solution set for 3x – 4y < -4? • {(-4, 4), (5, 1)} • {(0, 3), (7, 0)} • {(5, 1), (7, 0)} • {(-4, 4), (0, 3)}

22. Question 19 • Christine is using two mobile networks to make phone calls. One network charges her Php. 5.50 for every minute of call to the other networks. The other network charges her Php. 6.00 for every minute of call to the other networks in a month, she spends at least Php. 300.00 for these calls. Suppose she wants to model the total costs of her mobile calls to other networks using mathematical statement. Which of the following mathematical statements could it be? a. 5.50x + 6y = 300 c. 5.50x + 6y ≥ 300 b. 5.50x + 6y > 300 d. 5.50x + 6y ≤ 300

23. Question 20 • Which of the following linear inequality is the translation of the statement “ The sum of 20-peso bills (t) and fifty-peso bills (f) is greater than Php. 420.00? • t + f > 420 • t + f ≥ 420 • 20t + 50f > 420 • 20t + 50f ≥420

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