Algebraic Expressions MCQs with Answers

Find the value of $k$, if $2$ is a zero of the polynomial $2x^4 + x^3 + kx^2 - 8$.

• A.$8$
• B.$-4$
• C.$4$
• D.$-8$

Simplify: $2x^2(1 + 3x) - (1 + 4x^2 - 2x)(5x - 1) =$ ?

• A.$-14x^3 + 16x^2 - 7x + 1$
• B.$-14x^3 + 16x^2 + 7x - 1$
• C.$14x^3 + 16x^2 - 7x + 1$
• D.$-14x^3 - 16x^2 - 7x + 1$

There are _ types of rational fractions.

• A.$2$
• B.$4$
• C.$3$
• D.$5$

A rectangle has a length of $x^3 - x + 2$ and a width of $x + x^2$. What is the area of the rectangle when $x = 2$?

• A.$48$ square units
• B.$36$ square units
• C.$54$ square units
• D.$64$ square units

The algebraic expression of the word expression "subtract eight times the number $b$ from ten times of the number $c$" is

• A.$10c - 8b$
• B.$8b - 10c$
• C.$10b - 8c$
• D.$8c - 10b$

Past Paper MCQ

Simplify: $\frac{(x^2 - 4x + 4) - (x^2 - 6x + 9)}{x - 3}$

• A.$\frac{2x - 5}{x - 3}$
• B.$\frac{2x + 5}{x - 3}$
• C.$\frac{2x - 13}{x - 3}$
• D.$\frac{5 - 2x}{x - 3}$

Splitting up a fraction into two or more fractions with only one factor in the denominator is called a _ fraction.

• A.Improper
• B.Proper
• C.Partial
• D.Complex

Trigonometric identity: $1 + \tan^2\theta =$ ?

• A.$\sec^2\theta$
• B.$\csc^2\theta$
• C.$\cot^2\theta$
• D.$\sin^2\theta$

Prove that $\frac{\sqrt{1 - \sin^2\theta}}{\sin\theta} =$ ?

• A.$\cot\theta$
• B.$\tan\theta$
• C.$\sec\theta$
• D.$\theta$

$\cos x (\tan x + x) =$ _?

• A.$\sin x + x \cos x$
• B.$\sin x + \cos x$
• C.$x$
• D.$\sin x \cos x + x$