Home / Practice / Class 9 / Mathematics / Algebraic expressions and formulas
Algebraic expressions and formulas
Written by Hassan Raza (Mathematics)
10 Class 9 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
-
What is (a + b) squared?
- 1 2a + 2b
- 2 a² - 2ab + b²
- 3 a² + 2ab + b²
- 4 a² + b²
Show answer
Correct answer: a² + 2ab + b²
(a + b)² = a² + 2ab + b².
Report a mistake
-
What is (a - b) squared?
- 1 a² - ab + b²
- 2 a² - 2ab + b²
- 3 a² - b²
- 4 a² + 2ab + b²
Show answer
Correct answer: a² - 2ab + b²
(a - b)² = a² - 2ab + b².
Report a mistake
-
If a + b = 5 and ab = 6, what is a² + b²?
Show answer
Correct answer: 13
a² + b² = (a + b)² - 2ab = 25 - 12 = 13.
Report a mistake
-
What is the value of (101)² using a formula?
- 1 10001
- 2 10101
- 3 10201
- 4 10200
Show answer
Correct answer: 10201
(100 + 1)² = 10000 + 200 + 1 = 10201.
Report a mistake
-
The degree of the polynomial 3x⁴ + 2x² + 1 is:
Show answer
Correct answer: 4
The degree is the highest power of x, which is 4.
Report a mistake
-
a² - b² is equal to:
- 1 a(a - b)
- 2 (a + b)²
- 3 (a + b)(a - b)
- 4 (a - b)²
Show answer
Correct answer: (a + b)(a - b)
Difference of squares: a² - b² = (a + b)(a - b).
Report a mistake
-
The value of (a + b)(a - b) when a = 5 and b = 3 is:
Show answer
Correct answer: 16
a² - b² = 25 - 9 = 16.
Report a mistake
-
Expand (x + 2)(x + 3).
- 1 x² + 5x + 6
- 2 2x + 5
- 3 x² + 5x + 5
- 4 x² + 6
Show answer
Correct answer: x² + 5x + 6
x² + 3x + 2x + 6.
Report a mistake
-
The coefficient of x in 7x² + 5x - 3 is:
Show answer
Correct answer: 5
The term in x is 5x.
Report a mistake
-
An expression with two terms is called a:
- 1 Quadratic
- 2 Monomial
- 3 Binomial
- 4 Trinomial
Show answer
Correct answer: Binomial
A binomial has two terms.
Report a mistake