Algebra Practice Questions - Part 1

Q1) The expression $\dfrac{5\sqrt{12}+2\sqrt{27}}{8\sqrt 3}$ simplifies to

A. 0

B. 1

C. 2

D. 3

E. 4

Q2)$-2x^3-x^2+5x-6$ subtracted from $−5x^2+2x−4$ is equal to

A. $2x^3+4x^2+3x+2$

B. $-2x^3+4x^2+3x-2$

C. $-2x^3-6x^2+7x-10$

D. $-2x^3-6x^2-7x-10$

E. $2x^3-4x^2-3x+2$

Q3) If $x=1\dfrac{1}{4}$ and $y=3\dfrac{1}{3}$, then $12x+9y-20=$

A. $-20$

B. $20$

C. $25$

D. $-25$

E. $45$

Q4) $6x^2-7x-3=$

A. $(6x+1)(x-3)$

B. $(-6x+3)(-x-3)$

C. $(3x-1)(x+3)$

D. $(3x+1)(2x-3)$

E. $(3x-3)(2x+1)$

Q5) The operation $■$ is defined by $x ■ y=x^2+3y+2$. If $2■y=−3$, then $y=$

A. $3$

B. $5$

C. $2$

D. $-3$

E. $-4$

Q6) Which of the following is the product of $2$ less than $3$ times $x$ and $2$ more than twice $x$?

A. $6 x^2+2 x−4$

B. $(2−3x)(2x+2)$

C. $6 x^2−2 x+4$

D. $6 x^2$

E. $6 x^3+2 x-4$

Q7) What is the product of the solutions of the equation $−2 x^2=−7$?

A. $\dfrac{2}{7}$

B. $\dfrac{-7}{2}$

C. $7$

D. $2$

E. $0$

Q8) For $x \neq -1$, $\dfrac{2x^2-7x-9}{x+1}=$

A. $2x-9$

B. $x-9$

C. $2x+9$

D. $9-x$

E. $9-2x$

Q9) $x(-2 x+8)(-3 x+1)=$

A. $6 x^3-26 x^2+8 x$

B. $6 x^2-26 x+8 x$

C. $6 x^3+26 x^2+8 x$

D. $6 x^3-26x^2-8 x$

E. $6 x^2+26 x-8$

Q10) $\dfrac{1}{2+\dfrac{2}{x-1}}=$

A. $\dfrac{1}{2 x}$

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

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

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

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