Podcast
Questions and Answers
If Amulya is x years old now, what was her age 5 years ago?
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?
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?
Which of the following equations has x=2 as a solution?
x-2=0
What does 'variable' mean in algebra?
What does 'variable' mean in algebra?
What does the expression 'a b' mean in algebra?
What does the expression 'a b' mean in algebra?
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?
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?
What is the perimeter of the triangle shown in Fig. 7.1 if 2x + 2 represents one side and 2x - y represents another side?
What is the perimeter of the triangle shown in Fig. 7.1 if 2x + 2 represents one side and 2x - y represents another side?
What is the area of a square with each side of length x?
What is the area of a square with each side of length x?
What is the expression obtained when 3 is subtracted from 2 times x?
What is the expression obtained when 3 is subtracted from 2 times x?
What is the solution to the equation $2q=3$?
What is the solution to the equation $2q=3$?
Flashcards
Age 5 years ago
Age 5 years ago
x is her current age; subtract 5.
Value of x+10 when x=2
Value of x+10 when x=2
Replace 'x' with 2 in the expression.
Equation with x=2 solution
Equation with x=2 solution
Substitute x=2 into each equation to see if it holds true.
Variable definition
Variable definition
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Expression 'a b'
Expression 'a b'
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Money left after expenses
Money left after expenses
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Triangle perimeter
Triangle perimeter
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Area of a Square
Area of a Square
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3 subtracted from 2x
3 subtracted from 2x
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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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