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ALGEBRA

Algebra

Definition Of Algebra

Algebra is a branch of mathematics that deals in representing numbers through variables.

Algebra also deals with symbols, relations, functions, and equations.

More About Algebra

Algebra can mainly be divided into two parts, elementary algebra and abstract algebra or modern algebra

Examples of Algebra

5 + a = 12
Here, the variable 'a' represents a whole number and it can be solved to find its actual value. 'a' must be equal to 7 as 5 + 7 = 12.

Video Examples: Maths the Wacky Way - Algebra

Solved Example on Algebra

Ques: Solve the equation. y - 8 = 12

Choices:
  • A. 4
    B. 20
    C. 96
    D. 9 
    Correct Answer: B

Solution:

Step 1: y - 8 = 12 [Original Equation.]
Step 2: y - 8 + 8 = 12 + 8 [Add 8 on each side to isolate the variable y.]
Step 3: y = 20 [Add 12 and 8 to get 20.] 

Quick Summary

  • Algebra uses variables to represent unknown numbers.
  • Algebra involves solving equations to find the value of these variables.
  • Algebra includes elementary and abstract algebra.
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🍎 Teacher Insights

Emphasize the importance of showing all steps when solving equations. Use real-world examples to illustrate algebraic concepts.

🎓 Prerequisites

  • Arithmetic
  • Basic Operations
  • Number Sense

Check Your Knowledge

Q1: Solve for x: x + 5 = 10

Q2: Solve for y: y - 3 = 7

Frequently Asked Questions

Q: What is a variable?
A: A variable is a symbol, usually a letter, that represents an unknown number.

Q: How do you solve an equation?
A: To solve an equation, you need to isolate the variable by performing the same operations on both sides of the equation.

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