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Questions and Answers
If Amulya is x years old now, what was her age 5 years ago?
x-5
What is the value of x+10 when x is equal to 2?
12
Which of the following equations has x=2 as a solution?
x-2=0
What does 'variable' mean in algebra?
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What does the expression 'a b' mean in algebra?
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How much money (in Rs) is left with her after spending Rs 1000 on grocery, Rs 500 on clothes, and Rs 400 on education, and receiving Rs 200 as a gift?
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What is the perimeter of the triangle shown in Fig. 7.1 if 2x + 2 represents one side and 2x - y represents another side?
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What is the area of a square with each side of length x?
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What is the expression obtained when 3 is subtracted from 2 times x?
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What is the solution to the equation $2q=3$?
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Study Notes
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.
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Description
Test your math and logic skills with this quiz covering topics such as arithmetic, equations, and logical expressions.
