Algebra Questions for Class 6 ICSE
Here are several algebra questions tailored for Class 6 ICSE students, along with detailed explanations to enhance understanding.
1. Simplifying Expressions
- Question: Simplify the expression: 3x + 5x - 2x.
- Explanation:
- Combine like terms:
- 3x + 5x = 8x
- 8x - 2x = 6x
- Final Answer: 6x.
2. Solving Simple Equations
- Question: Solve for x in the equation: x + 7 = 12.
- Explanation:
- To isolate x, subtract 7 from both sides:
- x + 7 - 7 = 12 - 7
- x = 5
- Final Answer: x = 5.
3. Evaluating Expressions
- Question: Evaluate the expression: 2a + 3b when a = 4 and b = 2.
- Explanation:
- Substitute the values of a and b:
- 2(4) + 3(2) = 8 + 6
- Combine the results:
- 8 + 6 = 14
- Final Answer: 14.
4. Word Problems
- Question: If a number is multiplied by 3 and then reduced by 5, the result is 16. What is the number?
- Explanation:
- Let the number be x:
- 3x - 5 = 16
- Add 5 to both sides:
- 3x = 21
- Divide by 3:
- x = 7
- Final Answer: The number is 7.
5. Algebraic Identities
- Question: Use the identity (a + b)² = a² + 2ab + b² to expand (x + 3)².
- Explanation:
- Here, a = x and b = 3:
- (x + 3)² = x² + 2(3)(x) + 3²
- = x² + 6x + 9
- Final Answer: x² + 6x + 9.
These questions and explanations will enhance your understanding of algebraic concepts and prepare you effectively for your ICSE examinations.