Linear Equations

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

Examples: 3x + 7 = 19, or 2(x − 1) = x + 4. Solving means finding the one value of x that makes both sides equal.

Add 5 to the left, add 5 to the right. Divide the left by 3, divide the right by 3. Do this until x stands alone.

Undo addition/subtraction first, then multiplication/division. Choose the side that keeps x positive to avoid sign slips.

In y = mx + c, m is the gradient (steepness) and c is where the line cuts the y-axis (the intercept).

equation	a statement that two expressions are equal, joined by an equals sign
variable	a letter standing for an unknown number to be found
coefficient	the number multiplying the variable, e.g. 3 in 3x
linear	having the variable only to the first power, giving a straight-line graph
transpose	to move a term across the equals sign by applying the opposite operation
gradient	the steepness of a line, rise divided by run; the m in y = mx + c
intercept	where a line crosses an axis; c is the y-intercept
solution	the value of the variable that makes the equation true

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