True or False: An algebraic expression only represents fixed numbers and cannot describe relationships.

False. An algebraic expression can describe relationships and patterns using variables, such as 'a + 3' for Shabnam's age related to Aftab's age.

I am an expression with one number and one variable. Multiply me by 3 and subtract 2. If the variable is 5, my value is 13. What am I?

x → 3x - 2 

→ 3×5 - 2 

= 13

I’m a repeating pattern: A, B, C, A, B, C... Which design is at the 15th position?

 Letters A, B, C keep repeating in the same order every 3 positions.

15 ÷ 3 = 5 (no remainder) That means 15 is a multiple of 3

Positions like 3, 6, 9, 12, 15... are always the third letter in the repeating group, which is C.

Why do we use letters in math?

Letters represent numbers that can change or are unknown; they help express general rules or patterns (like a + 3 for "3 more than Aftab's age").

Two inputs: a = 5, b = 7; Output = 12. What is the formula?

a + b

What do we call terms like 4a and 5a that have the same variable?

Like terms

True or False: In a calendar’s 2 × 2 square, both diagonal sums are equal.

True. For top-left number a, diagonals: 

a + (a + 8) = 2a + 8, 
(a + 1) + (a + 7) = 2a + 8. Both are equal

True or False: 9x and 13y are like terms.

False. Like terms have the same variable (e.g., 9x, 13x)

How does the distributive property help in simplifying v(9 + 11)?

Distributive property: 

v(9 + 11) = v × 9 + v × 11 = 9v + 11v = 20v

Simplify:

 17m − (9m − 13n + 5) + 11n − 3m.

17m − (9m − 13n + 5) + 11n − 3m
= 17m − 9m + 13n − 5 + 11n − 3m
= 5m + 24n − 5

Anil is 9 years older than Bina, and Bina’s age is twice that of Chetan. If Chetan’s age is c years, what expression represents Anil’s age?

Bina’s age = 2c (twice Chetan’s).

Anil’s age = Bina’s age + 9 = 2c + 9