Algebra Play — Class 8 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Algebra Play" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Algebra Play" — 8 important questions with detailed answers for CBSE board exam pre…
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Key Questions Covered:
- Simplify: 3x + 5x − 2x
- Expand: (x + 3)(x + 2)
- Factorize: x² + 7x + 12
- Solve: 2x + 5 = 13
- Use the identity (a + b)² = a² + 2ab + b² to expand (x + 4)²
- Factorize: 4x² − 25
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Simplify: 3x + 5x − 2x | ✓ Solved |
| Expand: (x + 3)(x + 2) | ✓ Solved |
| Factorize: x² + 7x + 12 | ✓ Solved |
| Solve: 2x + 5 = 13 | ✓ Solved |
| Use the identity (a + b)² = a² + 2ab + b² to expand (x + 4)² | ✓ Solved |
| Factorize: 4x² − 25 | ✓ Solved |
Showing 6 of 8 questions
Q1: Simplify: 3x + 5x − 2x
Step 1: Combine like terms (all have variable x).
Step 2: 3x + 5x − 2x = (3 + 5 − 2)x
Step 3: = 6x
Q2: Expand: (x + 3)(x + 2)
Step 1: Use FOIL method (First, Outer, Inner, Last).
Step 2: First: x × x = x²
Step 3: Outer: x × 2 = 2x
Step 4: Inner: 3 × x = 3x
Step 5: Last: 3 × 2 = 6
Step 6: Combine: x² + 2x + 3x + 6 = x² + 5x + 6
Q3: Factorize: x² + 7x + 12
Step 1: We need two numbers that multiply to 12 and add to 7.
Step 2: Those numbers are 3 and 4 (3 × 4 = 12, 3 + 4 = 7).
Step 3: x² + 7x + 12 = (x + 3)(x + 4)
Q4: Solve: 2x + 5 = 13
Step 1: 2x + 5 = 13
Step 2: Subtract 5 from both sides: 2x = 13 − 5
Step 3: 2x = 8
Step 4: Divide both sides by 2: x = 4
Step 5: Check: 2(4) + 5 = 8 + 5 = 13 ✓
Q5: Use the identity (a + b)² = a² + 2ab + b² to expand (x + 4)²
Step 1: (x + 4)² = x² + 2(x)(4) + 4²
Step 2: = x² + 8x + 16
Q6: Factorize: 4x² − 25
Step 1: Recognize this as a difference of squares: a² − b² = (a + b)(a − b)
Step 2: 4x² = (2x)² and 25 = 5²
Step 3: 4x² − 25 = (2x)² − 5² = (2x + 5)(2x − 5)
Showing 6 of 8 questions. Visit the full page for complete solutions.
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