This document introduces patterns, expressions, and equations in algebra. It provides 10 examples of patterns with rules to identify, 5 examples of forming algebraic expressions from word problems, and 10 examples of forming algebraic equations from word problems. The goal is to represent relationships using algebraic notation.

1. Introduction to Algebra

2. Pattern
1. If box has 12 pencil , show the number of pencils in b boxes?
2. Find the Rules of these pattern
A. 6 ,11, 16, 21, 26….
B. 4, 9, 14, 19, 24…
3. In a pentagon ,if the length of two pairs of equal sides are 7.6 cm and 8.4 cm and the length of
unequal side is 10 cm Find the perimeter.
4. Find the rule of perimeter of an 8 sided polygon where 4 pairs of opposite sides are equal.
5. Write the distributive property of multiplication over addition and subtraction using 4, a and c.

3. Framing Algebraic Expression
1. Decrease a number by 10.
2. Add 10 to twice a number.
3. Five times a number increased by 10.
4. Five times a number decreased by 10.
5. Five times a number is decreased from 10.
6. Divide 25 by a number and increase by 10.
7. Divide a number by 25 and increase by 10.
8. Divide a number by 25 and subtract from 25.
9. Seven times a number subtracted from 80.
10.Divide a number by 4 and add 5 to the result.

4. Framing Algebraic Equation
1. Multiply the sum of 8 and a number by 4 to get 42.
2. Three more than six times a number gives 18.
3. Divide 24 by a number and then reduce by 6 to get 10.
4. Add 35 to the product of 7 and a number to get 70.
5. Five times a number increased by 8 equal 38. Find the number.
6. 21 less than one third of a number is 4. Find the number.
7. Three times the result of dividing the product of 4 and a by 2.Find the
expression.
If the value of the expression is 84 then Find the value of a