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Linear Equations

NIOS · Class 10 · Maths

Flashcards for Linear Equations — NIOS Class 10 Maths. Quick Q&A cards covering key concepts, definitions, and formulas.

31 questions28 flashcards5 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
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 Concept Overview, Linear Equations Chapter Overview, Linear Equations Complete Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Linear Equations — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 31 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Linear Equations?
There are 28 flashcards for Linear Equations covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

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