Algebraic expressions and identities medium

Algebraic Expressions and Identities Quiz

1. Simplify the expression: 3x - 2y + 5x - 3y

a) 8x - 5y b) 5x - 5y c) 2x - y d) 8x - 3y

2. Which of the following is a binomial expression?

a) 3x + 2y - z b) 4a + b + c c) x² + y² d) 2m - 3n + p

3. Which of the following is an algebraic identity?

a) (a + b)² = a² + 2ab + b² b) a² - b² = (a - b)² c) (a + b)² = a² - 2ab + b² d) a² + b² = a² + b²

4. Expand the expression: (x + 2)(x - 3)

a) x² + 2x - 3 b) x² - 2x + 3 c) x² - x - 6 d) x² - 2x - 3

5. Which of the following is a trinomial expression?

a) 2x + y b) 3a - b c) x² + y - z d) 5m + n

6. Simplify the expression: 2x(3y - 4)

a) 6xy - 8 b) 6x²y - 4x c) 2xy - 8 d) 6xy - 4

7. Factorize the expression: 2x² - 8x

a) 2x(x + 4) b) 2x(x - 4) c) 2(x - 4) d) x(2x - 8)

8. Which of the following expressions is not an identity?

a) (a + b)² = a² + 2ab + b² b) (a - b)² = a² - 2ab + b² c) a² + b² = a² + b² d) a² - b² = (a + b)(a - b)

9. Expand the expression: (a - b)²

a) a² + 2ab + b² b) a² - 2ab + b² c) a² - b² d) a² + b²

10. Factorize the expression: 9a² - 16b²

a) (3a + 4b)(3a - 4b) b) (3a - 4b)(3a + 4b) c) (9a - 16b)(a + b) d) (3a + 4b)(9a - 16b)