Question 1

Which expression is equivalent to $9q^2-\frac{2}{3}(3q-7)+5q^2$ ?

Accepted Answer

$14q^2-2q+\frac{14}{3}$

Answer

$9q^2-2q-3$

Answer

$9q^2-\frac{5}{3}q-3$

Answer

$14q^2-\frac{5}{3}q-\frac{14}{3}$

Question 2

The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

Accepted Answer

$20x^2-4x-16$

Answer

$20x^2+36x-16$

Answer

$9x^2-16$

Answer

$16x^2-16$

Question 3

Which expression is equivalent to $\frac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$?

Accepted Answer

$\frac{7a^6b^3}{4c^5}$

Answer

$\frac{7b^2c^2}{4a^2}$

Answer

$\frac{6a^2b^9}{c^{15}}$

Answer

$\frac{7a^2b^3}{4c^{15}}$

Question 4

Which expression is equivalent to $2x^2+(4x-6x^2)+9-(6x+3)$?

Accepted Answer

$-4x^2-2x+6$

Answer

$-4x^2-2x+12$

Answer

$18x+12$

Answer

$-10x+6$

Question 5

A circle has a radius of $6x^9y^5$ cm. The area of a circle can be found using $A={\pi}r^2$. What is the area of this circle in square centimeters?

Accepted Answer

$36{\pi}x^{18}y^{10}$

Answer

$12{\pi}x^{18}y^{10}$

Answer

$36{\pi}x^{11}y^{7}$

Answer

$12{\pi}x^{11}y^{7}$

Question 6

Which expression is equivalent to $\sqrt{147}$?

Accepted Answer

$7\sqrt{3}$

Answer

$21\sqrt{7}$

Answer

$49\sqrt{3}$

Answer

$3\sqrt{7}$

Question 7

Which expression is a factor of $x^2-5x-6$?

Accepted Answer

$x-6$

Answer

$x-3$

Answer

$x-2$

Answer

$x-1$

Question 8

Which expression is equivalent to $(7x^3)^2(x^8)^\frac{1}{2}$?

Accepted Answer

$49x^{10}$

Answer

$14x^7$

Answer

$49x^7$

Answer

$14x^{10}$

Question 9

The area of a rectangle is $54x^9y^8$ square yards. If the length of the rectangle is $6x^3y^4$ yards, which expression represents the width of the rectangle in yards?

Accepted Answer

$9x^6y^4$

Answer

$48x^6y^4$

Answer

$60x^{12}y^{12}$

Answer

$9x^3y^2$

Question 10

Which expression is equivalent to $m^2-13m-30$?

Accepted Answer

$(m-15)(m+2)$

Answer

$(m+10)(m+3)$

Answer

$(m+15)(m-2)$

Answer

$(m-10)(m-3)$

Question 11

The expression $(x^3)(x^{-17})$ is equivalent to $x^n$. What is the value of $n$?

Accepted Answer

-14

Question 12

Which expressioon is equivalent to $6x^2+13x+5$?

Accepted Answer

$(2x+1)(3x+5)$

Answer

$(2x-5)(3x+1)$

Answer

$(2x-1)(3x-5)$

Answer

$(2x+5)(3x-1)$

Question 13

Which expression is a factor of $18x^2-15x+2$?

Accepted Answer

$3x-2$

Answer

$9x-1$

Answer

$2x-1$

Answer

$x-2$

Question 14

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A:  $\frac{1}{2}g^2+\frac{7}{2}$

Store B:  $3g^2-\frac{4}{5}g+\frac{1}{4}$

Which expression represents the combined inventory of the two stores?

Accepted Answer

$\frac{7}{2}g^2-\frac{4}{5}g+\frac{15}{4}$

Answer

$\frac{7}{2}g^2+\frac{4}{5}g+\frac{4}{3}$

Answer

$\frac{7}{2}g^2+\frac{4}{5}g+\frac{15}{4}$

Answer

$\frac{7}{2}g^2-\frac{4}{5}g+\frac{4}{3}$

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