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Solving Linear Equations Worksheet

Solving Linear Equations Worksheet
  • Page 1
 1.  
Pick an appropriate equation for the graph shown.

a.
4m + 10 = 30
b.
m + 4 + 10 = 30
c.
m + 10 = 30
d.
4m + 30 = 10


Solution:

On the number line, m appears 4 times in equal interval. That is, 4m.

From the number line, it is observed that 4m + 10 equals 30 units.

Therefore, 4m + 10 = 30 is the appropriate equation for the graph.


Correct answer : (1)
 2.  
Choose an appropriate equation for the graph shown.

a.
3n + 24 = 12
b.
n + 12 = 24
c.
3n + 12 = 24
d.
n + 3 + 12 = 24


Solution:

On the number line, n appears 3 times in equal interval. That is, 3n.

From the number line, it is observed that 3n + 12 equals to 24 units.

Therefore, 3n + 12 = 24 is the appropriate equation for the graph.


Correct answer : (3)
 3.  
A bookseller sold books worth $2,500 in a week. Each book costs $20. How many books did he sell during the week, if he earned a profit of $300?
a.
96
b.
110
c.
40
d.
88


Solution:

Let b be the number of books sold.

Amount for which books were sold = profit + cost of b books

2500 = 300 + 20b
[Write an algebraic equation.]

2500 - 300 = 300 + 20b - 300
[Subtract 300 from each side.]

2200 = 20b
[Combine like terms.]

2200 / 20 = 20b20
[Divide each side by 20.]

110 = b
[Simplify.]

The bookseller sold 110 books in that week.


Correct answer : (2)
 4.  
A shopkeeper gives 8% discount on a television. The original cost of the television is $375. Find the discount on the television.
a.
$10
b.
$49
c.
$30
d.
$90


Solution:

Let n be the amount of discount.

n = 8% of 375

n = 8 / 100× 375

n = 30
[Simplify.]

The discount on the television is $30.


Correct answer : (3)
 5.  
Ursula cooked 4 dishes of food for dinner. She spent 0.23 liters of oil in preparing each dish. Which operation is used to find the total oil used by her?
a.
multiplication
b.
division
c.
subtraction
d.
addition


Solution:

Amount of oil Ursula used in preparing a dish = 0.23 liters

To find the amount of oil she used in preparing 4 dishes, multiply the number of dishes she cooked for dinner with the amount of oil she used for preparing each dish.

Therefore, the operation that can be used to find the total amount of oil Ursula used for preparing 4 dishes of food is 'multiplication'.


Correct answer : (1)
 6.  
Tanya is a teacher. She receives a salary of $48,870 in one year. Choose an operation that would help to find her monthly salary.
a.
multiplication
b.
addition
c.
division
d.
subtraction


Solution:

The amount of money Tanya receives as salary in one year is $48,870.

To find the monthly salary, divide the salary she receives in one year by the number of months in a year.
[One year = 12 months.]

Therefore, the operation that is used to find the monthly salary of Tanya is 'division'.


Correct answer : (3)
 7.  
Sheela buys 5 dresses. Each one costs $12.25. Which operation would you use to find the total cost?
a.
multiplication
b.
division
c.
subtraction
d.
addition


Solution:

Cost of one dress = $12.25

Number of dresses Sheela bought = 5

To find the total cost of 5 dresses, multiply the number of dresses with the cost of one dress.

Therefore, the operation that can be used to find the total cost of 5 dresses is 'multiplication'.


Correct answer : (1)
 8.  
Zelma is driving at an average speed of 65 miles per hour. How far can she drive in 6 hours?
a.
390 miles
b.
15 miles
c.
80 miles
d.
450 miles


Solution:

Zelma is driving at a speed of 65 miles in one hour.

Let x be the distance she would drive in 6 hours.

x = 65 × 6

x = 390
[Multiply.]

Zelma can drive 390 miles in 6 hours.


Correct answer : (1)
 9.  
Mona buys a Compact Stereo System for $140. The sales tax is 5%. What is the final cost that Mona has to pay?
a.
$129
b.
$147
c.
$141
d.
$185.40


Solution:

Let x be the amount that Mona has to pay as sales tax.

x = 5% of 140

= (5 / 100) × 140 = 7
[Simplify.]

Final cost that Mona has to pay = $140 + x = $140 + $7

= $147
[Add.]


Correct answer : (2)
 10.  
On his son's 12th birthday, Mr.Anderson deposits $12,800 in his account that earns an annual simple interest of 71 / 2%. What will be the balance in Mr.Anderson's account, when his son turns 16?
a.
$16,640
b.
$850
c.
$2,550
d.
$85,000


Solution:

Number of years for which deposit is made = 16 - 12 = 4

Let x be the simple interest.

Simple Interest = PTR / 100
[Formula.]

x = 12800 × 4 ×152100
[Substitute the values.]

= $3840
[Simplify.]

Balance in Mr.Anderson's account = 12800 + x
[Since Balance = Principal + Interest.]

= 12800 + 3840

= $16640
[Add.]


Correct answer : (1)

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