Online Test — Algebraic Expressions
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
How many terms are in the expression \(4x^3 - 2x^2 + 3x - 7\)?
2
3
4
5
Explanation: Terms separated by + or -: 4x³, -2x², 3x, -7 = 4 terms
Question 2 of 10
Which of the following is a binomial?
\(5x\)
\(x^2 + 2x + 1\)
\(3x - 4y\)
\(7\)
Explanation: Binomial has exactly 2 terms: 3x and -4y
Question 3 of 10
What is the coefficient of \(x^2\) in \(5x^2 - 3x + 2\)?
5
-3
2
0
Explanation: Coefficient is the numerical factor of x² which is 5
Question 4 of 10
Simplify: \((3x + 2) + (4x - 5)\)
\(7x - 3\)
\(7x + 3\)
\(x - 3\)
\(12x^2 - 10\)
Explanation: 3x+4x=7x; 2-5=-3 → 7x-3
Question 5 of 10
Multiply: \(2x(3x^2 - 4x + 1)\)
\(6x^3 - 8x^2 + 2x\)
\(5x^3 - 2x^2 + 3x\)
\(6x^2 - 8x + 2\)
\(6x^3 - 8x^2 + 1\)
Explanation: 2x×3x²=6x³; 2x×(-4x)=-8x²; 2x×1=2x
Question 6 of 10
Using identity, \((x + 3)^2 = ?\)
\(x^2 + 9\)
\(x^2 + 6x + 9\)
\(x^2 - 6x + 9\)
\(x^2 + 3x + 9\)
Explanation: (a+b)² = a²+2ab+b² with a=x, b=3
Question 7 of 10
Factorize: \(x^2 - 16\)
\((x-4)(x-4)\)
\((x+8)(x-2)\)
\((x+4)(x-4)\)
\((x+16)(x-1)\)
Explanation: Using a²-b² = (a+b)(a-b) with a=x, b=4
Question 8 of 10
What is the value of \(51^2\) using identity?
2501
2601
2701
2401
Explanation: (50+1)² = 2500 + 100 + 1 = 2601
Question 9 of 10
Simplify: \(\frac{12x^5}{4x^2}\)
\(3x^3\)
\(3x^7\)
\(8x^3\)
\(3x^{2.5}\)
Explanation: 12÷4=3; x⁵÷x² = x³
Question 10 of 10
Which expression is equal to \(a^2 - b^2\)?
\((a-b)^2\)
\((a+b)^2\)
\((a+b)(a-b)\)
\(a^2 + b^2\)
Explanation: This is Identity III: difference of squares