Simple Linear Equations
ICSE · Class 7 · Mathematics
Quick revision notes for Simple Linear Equations — ICSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Equation, Variable, and Solution
- An equation is a statement that the two expressions are equal.
- A variable is the unknown quantity in an equation, usually written as x, y, or z.
- A solution or root is the value of the variable that makes the equation true.
2. Operations That Keep an Equation Unchanged
- The same number can be added to both sides of an equation without changing it.
- The same number can be subtracted from both sides without changing it.
- The same number can be multiplied to both sides without changing it.
3. Solving Equations by the Short-Cut Method
- Transposing means moving a term from one side of an equation to the other side.
- When a positive term is transposed, its sign changes to negative.
- When a negative term is transposed, its sign changes to positive.
4. Contextual Problems and Two-Step Equations
- A contextual problem has two operations, and the final solution depends on the first operation.
- A common two-step form is 3x + 8 = 14.
- First isolate the term with the variable, then isolate the variable itself.
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