In this part you will study how to find the solution
of a linear equation with one variable. To solve an
equation means to find the solution of that
equation. The solution of an equation is also called
a root of an equation. There are some questions
below to be solved. Solve each problem on your
Book Problem. Ida and Anis bought some books.
Ida bought 5 packs while Anis bought 2 packs. The
number of books in each pack is the same. Solve
each of the following questions (the questions are
not related to each other).
a) Suppose Ida gives nine writing books to her
sister and the remainder is the same as Anis’ book.
How many writing books are there in each pack?
b) Suppose Anis receives 12 extra writing books from
her brother so that the number of all of her books is the
same as the number of Ida’s books. How many writing
books are there in each pack?
c) Suppose Ida gives six books to her sister, Anis
receives twelve extra books from her brother and the
number of Ida’s book is the same as the number of Anis’
books. How many books are there in each pack?
What are you going to
À To work out a linear
equation with one
Mathematics for Junior High School – Year 7 / 137
Problem 2 Frog Problem. Two frogs, Tinki and Dipsi, were
staying under a
frightened by a snake. They straightly jumped for
many times to the same direction in order to avoid
the snake. Tinki jumped six times and Dipsi jumped
seven times. On the first jump Tinki reached 35 cm
and Dipsi reached 20 cm. On the next jump they
reached the same distance.
Answer each question below.
What can you state about the situation?
If on the last jump they reached the same
distance, how far did they reach on the second jump?
How far was the distance that was reached by
each frog up to the last jump?
Explain how to obtain Diagram-2 from Diagram–1