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Linear Equations_Problem Solving

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 35. Find the length of a side.

a)

1

b)

5

c)

7

d)

12

2.

Jonathan is six years older than Joshua. The sum of their ages is 48. What mathematical equation is needed to find Joshua’s age?

a)

𝑥 + 6 = 48

b)

𝑥 + 𝑥 + 6 = 48

c)

2𝑥 + 𝑥 = 48

d)

𝑥 + 𝑥 = 48

3.

Still refer to problem no. 5, what is Jonathan’s age?

a)

21 years old

b)

23 years old

c)

25 years old

d)

27 years old

4.

If 28 less than five times a certain number is 232. What is the number?

a)

260

b)

204

c)

140

d)

52

5.

Fifteen more than three times a number is the same as ten less than six times the number. What is the number ?

a)

15/3

b)

25/3

c)

25

d)

40

6.

Find the three consecutive odd integers so that the sum of twice the first, the second and three times the third is 152.

a)

15,17,19

b)

19,21, 23

c)

23, 25, 27

d)

27, 29, 31

7.

The sum of three consecutive integers is 93. What is the value of the second integer?

a)

31

b)

34

c)

36

d)

38

8.

A man is 41 years old and in seven years he will be four times as old as his son is at that time. How old is his son now?

a)

5

b)

7

c)

9

d)

10

9.

A motorboat goes downstream in river and covers a distance between two coastal towns in 5 hours. It covers this distance upstream in 6 hours. If the speed of the stream is 3 km/hr, find the speed of the boat in still water.

a)

30km/h

b)

33km/h

c)

35km/h

d)

37km/h

10.

A sofa and a love seat together costs ₱21,750. The sofa costs double the love seat. How much is the cost of love seat?

a)

₱7,500

b)

.₱7,100

c)

₱7,150

d)

₱7,250

11.

9.) A total of ₱100,000 is distributed among 150 persons as gift. A gift is either of ₱ 500 or ₱ 1000. How many ₱ 500 worth of gifts are distributed?

a)

25

b)

50

c)

75

d)

100

12.

The length of a rectangle is twice its width. If the perimeter is 72 metre, find the length of the rectangle.

a)

12m.

b)

18m

c)

24m

d)

26m

13.

Mr. Nilo, a mathematics teacher, charges Php200 per hour for tutorial service to a junior high school student. If he spends 3 hours tutoring per day, how much would he receive in 12 days?

a)

. Php 6,300

b)

Php 7,200

c)

Php 7,300

d)

Php 8,100

14.

Joshua likes to read a magazine. He reads 50 pages in 2 hours. At the same rate, how many hours will it take him to read the remaining 150 pages?

a)

6

b)

7

c)

8

d)

9

15.

Lyoid works as a service crew in a fast food center where he earns Php82.00 per hour. How much will he earned in a day if he works 8 hours straight?

a)

Php 556

b)

Php 656

c)

Php 756

d)

Php 856

16.

Queenie is working in a restaurant and her hourly wage is Php51.68. Let x represents the number of hours worked and let f(x) represents the total amount earned. Which of the following functions best represents the total amount earned by day?

a)

f(x) = 51.68x

b)

f(x) = x + 51.68

c)

f(x) = x - 51.68

d)

f(x) = 51.68 - x

17.

JC works as a salesman in a company that distributes top brands and latest model of cellular phones. He receives a commission of Php1,500 for every cellular phone unit he sells. On top of the commission, he receives a monthly salary of Php12,000. How many cellphones should he sell in a month to make an income of Php79,500?

a)

45

b)

58

c)

65

d)

67

18.

Jun Mark used 15 m of copper wire which weighs 1 kg. If a copper wire weighs 3.5 kg, how many meters is it?

a)

50 m

b)

52.5 m

c)

53.5 m

d)

54 m

19.

Al John spent Php1,200 on N95 facemasks because of pandemic. Each facemask costs Php100. How many facemasks did he buy?

a)

10

b)

12

c)

15

d)

95

20.
Solve the problem.
Jermey's car went 310 miles (highway) on 10 gallons of gasoline.  What was the average number of miles per gallon?
a)
32 mpg
b)
33 mpg
c)
30 mpg
d)
31 mpg