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Algebraic expressions and formulas
Class 9 · Mathematics · 10 questions
Name: ____________________ Date: ____________
What is (a + b) squared?
- A 2a + 2b
- B a² - 2ab + b²
- C a² + 2ab + b²
- D a² + b²
What is (a - b) squared?
- A a² - ab + b²
- B a² - 2ab + b²
- C a² - b²
- D a² + 2ab + b²
If a + b = 5 and ab = 6, what is a² + b²?
- A 13
- B 37
- C 11
- D 25
What is the value of (101)² using a formula?
- A 10001
- B 10101
- C 10201
- D 10200
The degree of the polynomial 3x⁴ + 2x² + 1 is:
- A 1
- B 2
- C 4
- D 3
a² - b² is equal to:
- A a(a - b)
- B (a + b)²
- C (a + b)(a - b)
- D (a - b)²
The value of (a + b)(a - b) when a = 5 and b = 3 is:
- A 34
- B 64
- C 16
- D 4
Expand (x + 2)(x + 3).
- A x² + 5x + 6
- B 2x + 5
- C x² + 5x + 5
- D x² + 6
The coefficient of x in 7x² + 5x - 3 is:
- A -3
- B 2
- C 7
- D 5
An expression with two terms is called a:
- A Quadratic
- B Monomial
- C Binomial
- D Trinomial
Answer key
1. C, 2. B, 3. A, 4. C, 5. C, 6. C, 7. C, 8. A, 9. D, 10. C
(a + b)² = a² + 2ab + b².
(a - b)² = a² - 2ab + b².
a² + b² = (a + b)² - 2ab = 25 - 12 = 13.
(100 + 1)² = 10000 + 200 + 1 = 10201.
The degree is the highest power of x, which is 4.
Difference of squares: a² - b² = (a + b)(a - b).
a² - b² = 25 - 9 = 16.
x² + 3x + 2x + 6.
The term in x is 5x.
A binomial has two terms.