Algebraic Expressions MCQs with Answers

The square root of $49x^4 + 42x^3 + 79x^2 + 30x + 25$ is:

• A.$7x^2 + 6x + 5$
• B.$7x^2 - 3x + 5$
• C.$7x^2 + 3x - 5$
• D.$7x^2 + 3x + 5$

What is the factorization of the quadratic expression $2x^2 + 8x + 8$?

• A.$2(x^2+4x+4)$
• B.$2(x+4)(x+1)$
• C.$(2x+4)(x+2)$
• D.$2(x+2)(x+2)$

Simplify: $2a^3 - a^3 =$ _?

• A.$2a^0$
• B.$a^6$
• C.$a^3$
• D.$3a^3$

Find the value of $a^2 + b^2 + c^2$, when $a + b + c = 9$ and $ab + bc + ca = 20$.

• A.$21$
• B.$61$
• C.$81$
• D.$41$

If $xy = 35$ and $x + y = 12$, what is the value of $x^2 + y^2$?

• A.$64$
• B.$84$
• C.$94$
• D.$74$

Simplify: $\frac{5}{2 - \sqrt{3}}$ we get _?

• A.$5 - 2\sqrt{3}$
• B.$10 - 5\sqrt{3}$
• C.$5 + 2\sqrt{3}$
• D.$10 + 5\sqrt{3}$

Past Paper MCQ

If $T^3 - 3T + 1 = 0$, find $T^3 + \frac{1}{T^3}$.

• A.$18$
• B.$15$
• C.$21$
• D.$12$

An expression consisting of two terms is called ?

• A.Monomial
• B.Binomial
• C.Trinomial
• D.Polynomial

$(\sqrt{x} + \sqrt{y})(\sqrt{x} - \sqrt{y}) =$ _?

• A.$x + y$
• B.$x - y$
• C.$x^2 - y^2$
• D.$\sqrt{x^2 - y^2}$

If $a * b = \frac{2b - a}{b}$, where $b \neq 0$, then $2 * 10 =$ _?

• A.$\frac{9}{5}$
• B.$\frac{5}{9}$
• C.$\frac{18}{5}$
• D.$\frac{11}{5}$