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Algebraic Expressions MCQs with Answers

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Algebraic Expressions and Identities MCQs (161–169)

9 MCQs with answers and a short one-liner. Hide answers to test yourself.

Past paper MCQs in this chapter · See all past papers

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161.
What is the result of adding $44x + 35y$ to $34x - 25y$?
Correct Answer: C. $78x + 10y$
One-liner
The sum of $44x + 35y$ and $34x - 25y$ is $78x + 10y$.
162.
If $a^2 + b^2 = 18$ and $a + b = 8$, the value of $ab$ is?
Correct Answer: C. $23$
One-liner
Using the identity $(a+b)^2 = a^2 + b^2 + 2ab$, we get $ab = \frac{(a+b)^2 - (a^2 + b^2)}{2} = \frac{64 - 18}{2} =$ $23$.
163.
If $x + \frac{1}{x} = 5$, then what is the value of $x^2 + \frac{1}{x^2}$?
Correct Answer: C. $23$
One-liner
The value of $x^2 + \frac{1}{x^2}$ is $23$.
164.
Find the value of $ab + bc + ca$, when $a^2 + b^2 + c^2 = 12$ and $a + b + c = 5$.
Correct Answer: A. $\frac{13}{2}$
One-liner
Using the identity $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ca)$, the value of $ab+bc+ca$ is $\frac{13}{2}$.
165.
For any three real numbers $a$, $b$, and $c$, the property $a(b + c) = ab + ac$ is called:
Correct Answer: C. Distributive property
One-liner
The property $a(b + c) = ab + ac$ is called the Distributive property.
166.
The expression $x^2 - y^2$ is equivalent to ?
Correct Answer: D. $(x + y)(x - y)$
One-liner
The expression $x^2 - y^2$ is equivalent to $(x + y)(x - y)$.
167.
$x + y$ is an algebraic _?
Correct Answer: B. Expression
One-liner
$x + y$ is an algebraic Expression because it is a combination of variables and operators without an equality or inequality sign.
168.
Solve: $x + x - 2 = \text{?}$
Correct Answer: D. $2x - 2$
One-liner
Combining like terms, $x + x = 2x$, so the simplified expression is $2x - 2$.
169.
What is the value of $(100)^2 - (99)^2$?
Correct Answer: D. $199$
One-liner
The value of $(100)^2 - (99)^2$ is $199$.

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Algebraic Expressions MCQs with Answers

Algebraic Expressions and Identities MCQs (161–169)

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