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Encapsulate
math

SIMPLE EQUATIONS

Solution of an Equation An equation is a condition on a variable that two
expressions separated by equal (=) sign, have equal
Solution of an equation is a value.
number that can replace x + 2 = 5
the variable in the equation LHS RHS
making LHS = RHS.

Methods of Solving Simple Equations

Trail and Error Method Systematic or Balancing Method Transposition Method

Substituting different values • On adding the same quantity on both Move the terms from one
for the variable untill the LHS sides, the equality of the equation holds side to the other side without
is equal to the RHS. true. effecting the equality of LHS
• Subtracting the same quantity from both and RHS.
sides, the equality of the equation holds While moving a term, change
true. the operator sign as follows:
• Multiplying both sides by the same • + to – • – to +
quantity, the equality of the equation • × to ÷ • ÷ to ×
holds true.
• Dividing both sides by the same quantity,
except by 0, the equality of the equation
holds true.

Life Skills

On Earth Day, during a tree plantation event in a school, a group of boys and girls planted a total of 306 trees.
Each boy planted 4 trees and each girl planted 3 trees. If the number of boys was 3 more than the number of
girls in the class, then how many boys and girls were there in all?
Why trees are so important to us and our planet? Discuss.

create and solve

Think over some real-life situations and note down on a paper and based on them construct some simple
equations. Draw a table, write the situations, equations formed in columns and make another column to write
the value of unknown variable used in the equations.

Situation Equation Formed Value of Unknown Veriable

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