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Simple Equations Class 7 PPT

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 Page 1


S i m p l e
E q u a t i o n s
C L A S S - 7
Page 2


S i m p l e
E q u a t i o n s
C L A S S - 7
Algebra is like a mathematical tool for solving
puzzles with letters and numbers. It helps us figure
out unknown values in equations and work with
patterns and relationships in math problems.
What is Algebra?
Page 3


S i m p l e
E q u a t i o n s
C L A S S - 7
Algebra is like a mathematical tool for solving
puzzles with letters and numbers. It helps us figure
out unknown values in equations and work with
patterns and relationships in math problems.
What is Algebra?
An algebraic expression is built from integer constants,
variables, and algebraic operations.
Variables represent unknown values, such as x, y, a, b,
etc.
Example: 6x + 5 is an algebraic expression.
Algebraic Expressions
Page 4


S i m p l e
E q u a t i o n s
C L A S S - 7
Algebra is like a mathematical tool for solving
puzzles with letters and numbers. It helps us figure
out unknown values in equations and work with
patterns and relationships in math problems.
What is Algebra?
An algebraic expression is built from integer constants,
variables, and algebraic operations.
Variables represent unknown values, such as x, y, a, b,
etc.
Example: 6x + 5 is an algebraic expression.
Algebraic Expressions
At least one expression in an
equation must contain a variable.
The LHS of an equation is equal to
the RHS.
Equations always have an equality
sign.
The order of expressions in an
equation can be interchanged
without changing the equation's
meaning.
Important Points About Equations
Page 5


S i m p l e
E q u a t i o n s
C L A S S - 7
Algebra is like a mathematical tool for solving
puzzles with letters and numbers. It helps us figure
out unknown values in equations and work with
patterns and relationships in math problems.
What is Algebra?
An algebraic expression is built from integer constants,
variables, and algebraic operations.
Variables represent unknown values, such as x, y, a, b,
etc.
Example: 6x + 5 is an algebraic expression.
Algebraic Expressions
At least one expression in an
equation must contain a variable.
The LHS of an equation is equal to
the RHS.
Equations always have an equality
sign.
The order of expressions in an
equation can be interchanged
without changing the equation's
meaning.
Important Points About Equations
Statements can be translated into equations.
For example, "The sum of four times x and 12 is 38"
becomes the equation 4x + 12 = 38.
Similarly, various statements can be converted into
equations to solve mathematical problems.
Forming Equations from Statements
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FAQs on Simple Equations Class 7 PPT

1. What are simple equations and how are they solved?
Ans. Simple equations are mathematical expressions that involve an unknown variable and an equal sign. To solve a simple equation, we aim to find the value of the unknown variable. This can be done by performing operations on both sides of the equation in order to isolate the variable.
2. Can you give an example of a simple equation and explain how to solve it?
Ans. Sure! An example of a simple equation is "2x + 3 = 9". To solve this equation, we want to isolate the variable "x". We can start by subtracting 3 from both sides of the equation: "2x + 3 - 3 = 9 - 3", which simplifies to "2x = 6". Then, we divide both sides by 2: "2x/2 = 6/2", resulting in "x = 3". Therefore, the solution to this equation is x = 3.
3. How are simple equations different from complex equations?
Ans. Simple equations involve only one variable and can be solved using basic arithmetic operations such as addition, subtraction, multiplication, and division. On the other hand, complex equations involve multiple variables and may require advanced techniques such as factoring, quadratic formula, or systems of equations to solve them.
4. What are the practical applications of solving simple equations?
Ans. Solving simple equations is useful in various real-life scenarios. For example, it can be used to determine the value of an unknown quantity in a business or financial problem, calculate the time needed to complete a task based on a given rate, or find the dimensions of an object based on given measurements.
5. Are there any tips or tricks to solve simple equations more easily?
Ans. Yes, there are some helpful strategies to solve simple equations efficiently. It is important to simplify both sides of the equation by combining like terms before performing operations. Additionally, keeping the equation balanced by performing the same operation on both sides helps to maintain equality. Using inverse operations (e.g., addition and subtraction, multiplication and division) can also simplify the solving process. Lastly, checking the solution by substituting it back into the original equation is a good way to ensure accuracy.
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