Algebra Practice Questions - Part 1

Q1)What is the value of $2(x^3 − y^2)+3( − x^3 − y^2 )$ for $x = − 2$ and $y = − 4$ ?

A. $72$

B. $-72$

C. $-24$

D. $24$

E. $4$

Q2) Which of the following represents the product of $4$ less than $3$ times $x$ and $3$ more than twice $x$ ?

A. $( 4 − 3 x ) ( 2 x + 3 )$

B. $( 3 x + 4 ) ( 2 x + 3 )$

C. $6 x^2 − x − 12$

D. $6 x^2 + x − 12$

E. $6 x^2 + x + 12$

Q3) If $P ( x ) = 2 x + 3$ and $Q ( x ) = − x − 2$ , then $P ( x ) − 2 x Q ( x ) =$

A. $2 x^2 + 6 x + 3$

B. $4x+7$

C. $2 x^2 − 6 x + 3$

D. $2 x^2 + 6 x − 3$

E. $2 x^2 + 6 x − 3$

Q4) Simplify the expression $-2\sqrt{16 y}+10\sqrt{y}$

A. $8\sqrt y$

B. $8\sqrt{15 y}$

C. $8\sqrt{17 y}$

D. $2\sqrt{16 y}$

E. $2\sqrt{y}$

Q5) For all real numbers $x$, $y$ and $z$ where $y$ and $z$ are not equal to zero,

$\dfrac{ \sqrt[3]{27 x^3 y^6 z^9 } } {\sqrt[3]{8 y^3 z^6}}=$

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

B. $\dfrac{3}{2}x y z$

C. $\dfrac{9}{8} x y^2 z^3$

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

E. $\dfrac{3}{2} y z$

Q6) The sum of $3$ consecutive even numbers is $126$ . Which of these equations could be used to find $x$ , the largest of these $3$ numbers?

A. $3 x−6=126$

B. $3 x+6=126$

C. $3 x+3=126$

D. $3 x−3=126$

E. $3 x−9=126$

Q7) If $\dfrac{2y+t}{y-t}=4$, then $y=$?

A. $\dfrac{2 t}{5}$

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

C. $-\dfrac{2 t}{3}$

D. $-\dfrac{5 t}{2}$

E. $\dfrac{5 t}{2}$

Q8) If $25 \%$ of $x$ is equal to $24$ , then what is $\dfrac{1}{12}$ of $x$ ?

A. $\dfrac{1}{8}$

B. $\dfrac{1}{4}$

C. $8$

D. $4$

E. $2$

Q9) $A(2,4)$ and $B(x,6)$ are points on a standard plane. Find $x$ so that point $M(6,5)$ is the midpoint of segment $AB$.

A. $4$

B. $-12$

C. $12$

D. $10$

E. $-10$

Q10) What is the slope of the line corresponding to the equation $6 x - 7 y + 1 = 0$?

A. $-6$

B. $-\dfrac{6}{7}$

C. $\dfrac{6}{7}$

D. $\dfrac{7}{6}$

E. $-\dfrac{7}{6}$