Mock Test: Algebraic Expressions and Identities
This mock test includes 30 questions designed for Class 8 students to assess their understanding of algebraic expressions and identities.
Section 1: Multiple Choice Questions (MCQs)
1. Which of the following is an algebraic expression?
- A) 5
- B) x + 3
- C) 7y - 2
- D) Both B and C
2. What is the degree of the polynomial 4x^3 + 2x^2 - x + 5?
- A) 2
- B) 3
- C) 1
- D) 0
3. Identify the like terms in the expression 3x + 5y + 2x.
- A) 3x and 5y
- B) 3x and 2x
- C) 5y and 2x
- D) All are like terms
4. Which identity is represented by (a + b)²?
- A) a² + b²
- B) a² + 2ab + b²
- C) a² - 2ab + b²
- D) (a - b)²
5. Simplify the expression 2(x + 3) + 4.
- A) 2x + 6
- B) 2x + 10
- C) 2x + 8
- D) 6x + 4
Section 2: Fill in the Blanks
6. The product of (x + 5) and (x - 5) is __________.
7. A polynomial of degree 2 is called a __________.
8. The coefficient of x in the expression 7x + 4 is __________.
9. If a = 2, b = 3, then the value of (a + b)² is __________.
10. The expression x² - 9 can be factored as __________.
Section 3: True or False
11. x² + 2x + 1 is a perfect square. (True/False)
12. The expression 3x + 2y is a binomial. (True/False)
13. The sum of two odd integers is even. (True/False)
14. 5x²y is a monomial. (True/False)
15. The expression (a + b)(a - b) = a² + b². (True/False)
Section 4: Short Answer Questions
16. Expand the expression (x + 4)(x - 4).
17. Simplify the expression 5x - 3x + 2x.
18. Write the algebraic expression for "twice a number x decreased by 7".
19. Factor the expression x² + 5x + 6.
20. Evaluate the expression 3a² - 2a + 1 for a = 1.
Section 5: Word Problems
21. A rectangle has a length of (x + 2) and a width of (x -