I first uploaded the pdf of Algebra Booklet: https://www2.slideshare.net/RameenKamran1/algebra-booklet However I felt the importance of a pre-introductory presentation for Algebra and its basic word problems.

1. Prepared By: Rameen Kamran

2. Formulas
 One of the most useful and
essential part of Algebra
 Expresses a Rule in Algebraic
Terms
 Makes use of Variables to write
Instructions
 Instructions are written for
performing Calculations
 Must Include equal sign to
differentiate among different
Quantities
 At least one Quantity is Given
and one is Unknown
 Unknown quantities are changed
into Variables
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3. • What is the difference between a formula and an
equation?
• A formula is an equation linking sets of physical variables.
While, an equation is a mathematical statement showing
that two expressions have equal value.
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Common Misconceptions

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Examples of Formulae
2. Area of square = Side length × side length
1. Area of rectangle = length × width
3. Volume of cuboid = length × width × height

6. Word Problems
1. Sarah is twice as old as Nora and half as old as Alex. In
22 years’ time, Alex will be twice as old as Nora. Find
Sarah’s present Age.
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7. Math Complications
2. Martha is 4 years older than Kate. If the sum of their
ages is at most 45 years, find the maximum possible
age of Kate.
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8. Investigative Approach
3. The sum of the ages of Farhan and his cousin is 38.
Seven years ago, Farhan was twice as old as his cousin.
Find Farhan’s present age.
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9. Contextual Puzzles
4. A box contains 54 coins which are either 20- cent
coins or 50- cent coins. If the total value of all the
coins is $20.70, find the number of 20- cent coins in
the box.
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10. Word Ticklers
5. Aliya has enough money to buy 24 apples. If the price
of each apple is reduced by 5- cents. She will be able to
buy an extra of 6 apples with the same amount of
money. Find the original price of each apple.
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