Algebra Practice Questions - Part 4

Q1) $x^2-4$ is equivalent to

A. $(x-2)^2$

B. $(x-2)(x+2)$

C. $(x-4)(x+4)$

D. $(x+2)^2$

E. $(x-1)(x+4)$

Q2) If $\dfrac{(x-2)(2x-k)}{x+3}=2(x-2)$, then $k=$?

A. $2$

B. $6$

C. $-6$

D. $0$

E. $-3$

Q3) $2x \cdot \dfrac{3}{4x} = $

A. $\dfrac{3x}{2}$

B. $\dfrac{3}{2}$

C. $\dfrac{2}{x}$

D. $6$

E. $3$

Q4) The complete factorization of $20x^4-5x^2$ is

A. $x^2(20x^2-5)$

B. $5x^2(4x^2-1)$

C. $5(4x^4-x^2)$

D. $5x(4x^3-x)$

E. $5x^2(2x-1)(2x+1)$

Q5) $(-\dfrac{4}{3})(x-1)(-6)=?$

A. $8x-8$

B. $24x-24$

C. $8x+8$

D. $-8x+8$

E. $x-1$

Q6) $\dfrac{4}{2x-2}-\dfrac{1}{x-1} = ?$

A. $\dfrac{3}{2x-2}$

B. $\dfrac{3}{x-1}$

C. $\dfrac{1}{x-1}$

D. $\dfrac{1}{x-2}$

E. $\dfrac{1}{2x-2}$

Q7) $(2a - \dfrac{1}{2a})^2$ is equivalent to

A. $4a^2+\dfrac{1}{4a^2}$

B. $4a^2+2+\dfrac{1}{4a^2}$

C. $1$

D. $4a^2-2+\dfrac{1}{4a^2}$

E. $4a^2-\dfrac{1}{4a^2}$

Q8) If $2s=t-6$ and $r=\dfrac{1}{2}t + 3$, then $r=$

A. $r=s$

B. $r=2s+6$

C. $r=s+6$

D. $r=s-6$

E. $r=s-6$

Q9) The solution of the equation $-2x+7 = 10$ falls between the numbers

A. $-4$ and $-3$

B. $-3$ and $-2$

C. $-2$ and $-1$

D. $-1$ and $0$

E. $0$ and $1$

Q10) If $x^2-2x+1=0$, then $x^3-3x^2+1=$

A. $-1$

B. $0$

C. $1$

D. $2$

E. $3$