Algebraic Expressions MCQs with Answers

Which of the following equations represents the associative property with respect to addition?

• A.$1 + (4 + 3) = (4 + 3) + 1$
• B.$1 + (4 + 3) = 1 + (3 + 4)$
• C.$1 + (4 + 3) = (1 + 4) + 3$
• D.$1 \times (4 + 3) = (1 \times 4) + (1 \times 3)$

Evaluate: $(7 - \sqrt{2})(7 + \sqrt{2})$

• A.$47$
• B.$45$
• C.$49$
• D.$51$

What is the expanded form of $(7 - 9)^2$?

• A.$(7)^2 - 2(7)(9) + (9)^2$
• B.$(7)^2 + 2(7)(9) + (9)^2$
• C.$(7)^2 - (9)^2$
• D.$(7)^2 + (9)^2$

The expression $x^3 + 27$ is equivalent to _?

• A.$(x + 3)(x^2 - 3x + 9)$
• B.$(x + 3)(x^2 + 3x + 9)$
• C.$(x - 3)(x^2 + 3x + 9)$
• D.$(x + 3)(x^2 - 6x + 9)$

Past Paper MCQ

An internet service provider charges a one-time setup fee of $\$100$ and $\$50$ each month for service. If $c$ customers join at the same time and are on the service for $m$ months, which of the following expressions represents the total amount, in dollars, the provider has charged these customers?

• A.$100cm + 50c$
• B.$100c + 50m$
• C.$100m + 50c$
• D.$100c + 50cm$

For any three real numbers $a$, $b$, $c$, the property $(a + b) + c = a + (b + c)$ is known as?

• A.Commutative property
• B.Associative property
• C.Distributive property
• D.Identity property

If $x + \frac{1}{x} = 3$, then find the value of $x^3 + \frac{1}{x^3}$.

• A.$9$
• B.$27$
• C.$36$
• D.$18$

The area of a rectangle is $x^2 - 5x + 6$. Its length and width will be ?

• A.$(x-3)(x-2)$
• B.$(x+3)(x+2)$
• C.$(x-6)(x+1)$
• D.$(x-1)(x-6)$

Which one of the following represents the commutative property?

• A.$A + (B + C) = (A + B) + C$
• B.$A(B + C) = AB + AC$
• C.$AB = BA$
• D.$A + 0 = A$

Simplify: $3x + 6y + 4x = ?$

• A.$7x + 6y$
• B.$7x + 10y$
• C.$3x + 10y$
• D.$13xy$