Math and Logic Quiz

Algebra Basics

• A variable in algebra is a symbol that represents a value that can change.
• In algebra, 'a b' is an expression that represents the product of 'a' and 'b'.

Age Problem

• If Amulya's current age is x, her age 5 years ago was x - 5.

Simple Equations

• The value of x + 10 when x is equal to 2 is 12.
• The equation with x = 2 as a solution can be determined by substituting x = 2 into the equation.

Money and Expenses

• If Amulya spends Rs 1000 on grocery, Rs 500 on clothes, and Rs 400 on education, and receives Rs 200 as a gift, the amount of money left with her is Rs 200 - (Rs 1000 + Rs 500 + Rs 400) = Rs 200 - Rs 1900 = -Rs 1700 (i.e., she is in debt).

Geometry

• The perimeter of a triangle with sides 2x + 2, 2x - y, and an unknown side can be calculated by finding the sum of all three sides.
• The area of a square with each side of length x is x^2.

Expressions and Equations

• The expression obtained when 3 is subtracted from 2 times x is 2x - 3.
• The solution to the equation 2q = 3 is q = 3/2 or q = 1.5.