What is Algebra? Explain with examples
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Answers
Question
What is Algebra?
Answer
Algebra is a branch of mathematics that substitutes letters for numbers
examples
2(3 + 8) is a numeric expression.
x²+6x+9=0
Answer:
The arithmetic operations of addition, subtraction, multiplication, and division help us solve mathematical problems. Algebra deals with these concepts and can be considered as generalized arithmetic. A variable is an important concept of algebra. It can be an object or a letter that represents a number of things.
Step-by-step explanation:
Algebra - Definition with Examples
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What is Algebra?
The operations of addition, subtraction, multiplication, and division help us solve mathematical problems. Algebra deals with these concepts and can be considered as generalized arithmetic.
algebra as generalized arithmetic
A is an important concept of algebra. It can be an object or a letter that represents a number of things. We use variables to represent unknowns, to represent quantities that vary, and to generalize properties.
The letters of the English alphabet, as well as Roman symbols, are commonly used for variables.
An equation is a mathematical sentence with an equal sign.
Example: 3 + 5 = 8
Inequality is a mathematical sentence that contains symbols <, >, ≤, ≥, or ≠.
Example: 4x + 7y ≥ 15
Equations and inequalities arise from everyday life situations.
Example: Tina wants to buy pencils and pens for $15. Each pencil costs $1, and the pen costs $2 each. If x represents the number of pencils and y stands for pens, then
x + 2y ≤ 15
The algebraic thinking involved in correlating and translating the situations into equations and then solving them to find the solution for the everyday problems develops mathematical reasoning in children.
Patterns are other tools that boost children’s mathematical thinking processes. A pattern is a regular arrangement of numbers, objects or shapes. There are mainly two types of patterns: