# PROBLEM SOLVING INVOLVING LINEAR EQUATIONS IN TW O VARIABLES

## Quiz by JOCELYN O. HULIP

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- Q1
Analyn rents a food cart for Php200 and an additional Php30 per hour thereafter. What equation represents this situation?

y = 30x + 200

y = 200x - 30

y = 30x - 200

y = 200x + 30

30sM8AL-Ig-2 - Q2
What is the correct equation of “The sum of two consecutive integers is equal to 57”?

3x = 57

x +(x+1) = 57

x

^{2}+ 3x = 572x = 57

45sM8AL-Ig-2 - Q3
Which mathematical equation represents “The difference between twice a number and 5 is 29”?

x + (x + 5) = 29

2x + 5y = 29

2x - 5 = 29

2x + 5 = 29

45sM8AL-Ig-2 - Q4
Paolo works at the shoe repair shop. His service per hour is Php25. If he works x hours a day and additional meal allowance of Php30.00 a day, what is the linear equation that represent his rate of salary?

y = 25x - 30

y = -25x + 30

x + y = 30

y = 25x + 30

45sM8AL-Ig-2 - Q5
Ramon often rides a Taxi from one place to another. The flag-downrate in riding a taxi is Php40 plus Php5 per kilometer. If he paid Php100, how many kilometers did he travel?

10 km

12 km

11 km

9 km

45sM8AL-Ig-2 - Q6
Joan bought a doughnut at Php40 pesos each plus a fixed charge ofPhp5.00 for the box that can hold as many as 24 pieces. How many doughnuts would be in the box if she paid Php725?

15 pcs

16 pcs

18 pcs

17 pcs

45sM8AL-Ig-2 - Q7
Doris invested some money at 5% and some at 7%. He investedPhp5,000 more at 7% than 5%. She earned a yearly interest ofPhp2,150.00. How much is the total amount of investment?

Php20,000

Php15,000

Php35,000

Php25,000

120sM8AL-Ig-2 - Q8
The teacher gave a twenty-item quiz composed of Multiple choice and Filling in the blanks where the items of Multiple choice are two more than twice the items with Filling in the blanks. How many numbers of items are in Filling in the blanks?

5

7

6

4

120sM8AL-Ig-2 - Q9
Five more than four times the number is twenty-one. What is the number?

4

2

5

3

120sM8AL-Ig-2 - Q10
Merlyn and Nick collect mail stamps. Merlyn has five more than three times as many as Nick. The total number of cards they both have is153. How many stamps Nick has collected?

38

36

35

37

120sM8AL-Ig-2 - Q11
Ramona’s age is five years more than thrice Cathy’s age. The sum of their ages is 33. How old is Ramona?

29

26

28

27

120sM8AL-Ig-2 - Q12
Cindy’s age is two years more than twice Lian’s age. The sum of their ages is 38. How old is Lian?

11

10

13

12

120sM8AL-Ig-2 - Q13
In a class of 45 students, the number of females is twice the number of males. How many male students are in the class?

15

20

25

10

120sM8AL-Ig-2 - Q14
The computer shop charges Php20.00 per hour, if you are to spend Php150, how many hours will you be using the computer?

6 hrs.

7.5 hrs.

7 hrs.

8 hrs.

45sM8AL-Ig-2 - Q15
Supposed you want to call your mother by phone. The charge of a pay phone call is Php8 for first 3 minutes and an additional charge of Php3 for every additional minute. Which equation represents the problem in the given situation?

y = 3x - 1

y = 3x - 2

y = 3x + 1

y = 3x - 3

60sM8AL-Ig-2