Expressions Using Letter Numbers — Class 7 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Expressions Using Letter Numbers" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Expressions Using Letter Numbers" — 8 important questions with detailed answers for…
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Key Questions Covered:
- Write an algebraic expression for: A number multiplied by 5 and then increase…
- Identify the terms and coefficients in: 3a + 2b - 5
- Simplify: 4x + 2y - x + y
- Find the value of 2a + 5 when a = 3
- Write an expression for: The perimeter of a rectangle with length l and width w
- Find the value of 5b - 3 when b = 2
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Write an algebraic expression for: A number multiplied by… | ✓ Solved |
| Identify the terms and coefficients in: 3a + 2b - 5 | ✓ Solved |
| Simplify: 4x + 2y - x + y | ✓ Solved |
| Find the value of 2a + 5 when a = 3 | ✓ Solved |
| Write an expression for: The perimeter of a rectangle wit… | ✓ Solved |
| Find the value of 5b - 3 when b = 2 | ✓ Solved |
Showing 6 of 8 questions
Q1: Write an algebraic expression for: A number multiplied by 5 and then increased by 3.
Step 1: Let the number be x
Step 2: "Multiplied by 5" means: 5x
Step 3: "Increased by 3" means add 3: 5x + 3
Answer: 5x + 3
Q2: Identify the terms and coefficients in: 3a + 2b - 5
Step 1: Rewrite to see all terms clearly:
3a + 2b + (-5)
Step 2: Identify the terms:
Terms are: 3a, 2b, and -5
Step 3: Identify coefficients:
Coefficient of a = 3
Coefficient of b = 2
Constant term = -5
Answer: Terms: 3a, 2b, -5. Coefficients: 3 (for a), 2 (for b). Constant: -5
Q3: Simplify: 4x + 2y - x + y
Step 1: Group like terms:
(4x - x) + (2y + y)
Step 2: Combine x terms:
4x - x = 3x
Step 3: Combine y terms:
2y + y = 3y
Step 4: Write the simplified expression:
3x + 3y
Answer: 3x + 3y
Q4: Find the value of 2a + 5 when a = 3
Step 1: Substitute a = 3 into the expression 2a + 5
Step 2: Calculate:
2(3) + 5
= 6 + 5
= 11
Answer: 11
Q5: Write an expression for: The perimeter of a rectangle with length l and width w
Step 1: Perimeter = sum of all four sides
Step 2: A rectangle has 2 lengths and 2 widths:
Perimeter = l + w + l + w
Step 3: Combine like terms:
Perimeter = 2l + 2w
Or: P = 2(l + w)
Answer: 2l + 2w or 2(l + w)
Q6: Find the value of 5b - 3 when b = 2
Step 1: Substitute b = 2 into the expression 5b - 3
Step 2: Calculate:
5(2) - 3
= 10 - 3
= 7
Answer: 7
Showing 6 of 8 questions. Visit the full page for complete solutions.
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