Quiz about Unit 5/6 Review: Laws of Exponents & Factoring

Question 1

Which expression is equivalent to $$\frac{16a^7b^5c^{-9}}{10a^{-3}b^3c^{-4}}$$

Accepted Answer

$$\frac{8a^{10}b^2}{5c^5}$$

Answer

$$\frac{5c^5}{8a^{10}b^2}$$

Answer

$$\frac{8a^4b^2}{5c^{13}}$$

Answer

$$\frac{8a^{10}b^8c^{-13}}{5}$$

Question 2

Which expression is equivalent to $$-4x^2+14x-12+6x^2-16x-2\ ?$$

Accepted Answer

$$2x^2-2x-14$$

Answer

$$-2x^2+2x-14$$

Answer

$$-10x^2+30x-10$$

Answer

$$2x^2+2x+14$$

Question 3

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?

Hint: Area = Length x Width

Accepted Answer

$$20x^2-4x-16$$

Answer

Answer

$$20x^2+36x$$

Answer

$$20x^2+4x+16$$

Question 4

What is $$\left(4x-2\right)\left(3x+1\right)$$ expressed as a trinomial?

Accepted Answer

$$12x^2-2x-2$$

Answer

$$12x^2-x-2$$

Answer

$$7x^2-10x-1$$

Answer

$$7x^2-2x-2$$

Question 5

Which expression is equivalent to $$4x^2+14x+8$$

Accepted Answer

Answer

$$\left(x+16\right)\left(x+2\right)$$

Answer

$$\left(x+14\right)\left(x+32\right)$$

Answer

$$\left(2x+4\right)\left(2x+4\right)$$

Question 6

Which expression is equivalent to $$\left(x^5yz^9\right)^4$$

Accepted Answer

$$x^{20}y^4z^{36}$$

Answer

$$x^9y^4z^{13}$$

Answer

$$x^{20}y^5z^{36}$$

Answer

$$x^{20}y^4z^{13}$$

Question 7

Which expression is equivalent to $$\left(4x^2y\right)\left(2xy^3\right)$$

Accepted Answer

$$8x^3y^4$$

Answer

$$6x^2y^3$$

Answer

$$6x^3y^4$$

Answer

$$8x^2y^3$$

Question 8

Which expression represents the binomial $$25x^2-4$$ in factored form?

Accepted Answer

$$\left(5x+2\right)\left(5x-2\right)$$

Answer

$$\left(x-4\right)\left(x+4\right)$$

Answer

$$\left(5x-2\right)\left(5x-2\right)$$

Answer

$$\left(5x+2\right)^2$$

Unit 5/6 Review: Laws of Exponents & Factoring