Algebraic Expressions MCQs with Answers

Past Paper MCQ

If $a+b+c=0$, then the value of $\left(\frac{a+b}{c} + \frac{b+c}{a} + \frac{c+a}{b}\right)\left(\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b}\right)$ is:

• A.$3$
• B.$6$
• C.$9$
• D.$12$

Past Paper MCQ

The sum of two numbers is $37$ and the difference of their squares is $185$. The difference of the two numbers is:

• A.$5$
• B.$6$
• C.$7$
• D.$8$

Past Paper MCQ

The sum of the squares of two numbers is 97 and the square of their difference is 25. The product of the two numbers is:

• A.$36$
• B.$30$
• C.$42$
• D.$48$

Past Paper MCQ

If $a * b = a + b + ab$, then $3 * 4 - 2 * 3$ is equal to?

• A.$8$
• B.$6$
• C.$10$
• D.$12$

Past Paper MCQ

What is the simplified result of the expression: $\frac{X+1}{7} - \frac{X-1}{8}$?

• A.$\frac{2X-1}{56}$
• B.$\frac{15}{56}$
• C.$\frac{2X+1}{56}$
• D.$\frac{1}{56}$

Past Paper MCQ

$x(yz) - (xy)z$ is a representation of the:

• A.Associative law of multiplication
• B.Commutative law of multiplication
• C.Multiplicative law
• D.Distributive law of multiplication over addition

If $p(x) = x^2 - ax^2 + 7$, then find the value of $p(2)$.

• A.$7 - 4a$
• B.$11 - 2a$
• C.$4 - 4a$
• D.$11 - 4a$

If $x + \frac{1}{x} = 10$, then what is the value of $x^2 + \frac{1}{x^2}$?

• A.$96$
• B.$100$
• C.$98$
• D.$102$

What is the factorized form of the expression: $x^2 + 5x + 4$?

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

What is $a^2 - b^2$ equal to?

• A.$(a - b)(a + b)$
• B.$(a + b)^2$
• C.$(a - b)^2$
• D.$a^2 + b^2$