1. This document contains algebra problems involving variables, patterns, expressions, and equations. 2. Students are asked to write rules for matchstick patterns using variables and find expressions for cases involving operations on variables like addition, multiplication, and subtraction. 3. Word problems involve finding a total score from marks in different subjects and combining like terms in algebraic expressions.

1. Algebra Grade:6
1. Find the rule which gives the number of matchsticks required to make the
following matchstick patterns. Use a variable to write the rule:
a) T b) Z c) d)
2.
3. Give expression for the following cases:
a) X increased by 12.
b) The product of x and y added to their sum.
c) X taken away from 4.
d) Thrice x added to y squared.
e) 5 times x added to 7 times y
f) Sum of x and the quotient of y by 5.
g) One third of x multiplied by the sumof a and b.
h) X minus twice y
4. Ranjit scores 80 marks in English and x marks in Hindi. Whatis his total
scorein the two subjects?
5. Subtract 5a + 7b - 2c from 3a – 7b + 4c.
6. What mustbe added to 5𝑥3
– 2 𝑥2
+ 6 x + 7 to make the sum 𝑥3
+3𝑥2
– x +
1?