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Linear Equations — Flashcards

NIOS · Class 10 · Maths

28 flashcards for Linear Equations (NIOS Class 10 Maths) to test yourself on key terms and facts. Sample: "Solve: 2x + 5 = 13"

31 questions28 flashcards11 formulas & key relations5 concepts

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A labeled diagram illustrating the general form of a linear equation in one variable (ax + b = 0), clearly identifying 'a' as the coefficient, 'x' as the variable, 'b' as the constant, and showing exa
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28 Flashcards·
Linear equation in one variableTransposing method
Card 1Linear equation in one variable

Solve: 2x + 5 = 13

Answer

Step 1: Subtract 5 from both sides. 2x = 13 - 5 = 8 Step 2: Divide both sides by 2. x = 8/2 = 4 Answer: x = 4…

Card 2Linear equation in one variable

Solve: 3y - 24 = 12

Answer

Step 1: Add 24 to both sides. 3y = 12 + 24 = 36 Step 2: Divide both sides by 3. y = 36/3 = 12 Answer: y = 12…

Card 3Linear equation in one variable

Solve: (x + 2)/3 = -2

Answer

Step 1: Multiply both sides by 3. x + 2 = -6 Step 2: Subtract 2 from both sides. x = -6 - 2 = -8 Answer: x = -8…

Card 4Linear equation in one variable

Solve: 2.5x - 3 = 0.5x + 1

Answer

Step 1: Bring variable terms to one side. 2.5x - 0.5x = 1 + 3 Step 2: Simplify. 2x = 4 Step 3: Divide by 2. x = 2 Answer: x = 2…

Card 5Linear equation in one variable

Solve: 3x - 1 = 2x + 5

Answer

Step 1: Subtract 2x from both sides. x - 1 = 5 Step 2: Add 1 to both sides. x = 6 Answer: x = 6…

Card 6Transposing method

Why does the transposing method work in equations?

Answer

When a term moves from one side to the other, its sign changes. This is the same as performing the opposite operation on both sides while keeping equality true. Example: 2x - 3 = 7 Move -3 to the othe…

Card 7Linear equation in one variable

Solve: 3(x + 2) = 15

Answer

Step 1: Expand the bracket. 3x + 6 = 15 Step 2: Subtract 6 from both sides. 3x = 9 Step 3: Divide by 3. x = 3 Answer: x = 3…

Card 8Linear equation in one variable

Solve: (4 - 2y)/3 + (y + 1)/2 = 1

Answer

Step 1: Multiply every term by 6, the LCM of 3 and 2. 2(4 - 2y) + 3(y + 1) = 6 Step 2: Expand. 8 - 4y + 3y + 3 = 6 Step 3: Simplify. 11 - y = 6 Step 4: Subtract 11 from both sides. -y = -5 Step 5: Mul…

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Frequently Asked Questions

What are the important topics in Linear Equations for NIOS Class 10 Maths?
Key topics in Linear Equations include Linear Equations in One Variable, Linear Equations in Two Variables, Graphs of Linear Equations in Two Variables, Systems of Linear Equations in Two Variables. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many flashcards are available for Linear Equations?
There are 28 flashcards for Linear Equations covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Linear Equations for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 31 practice questions on Linear Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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