EOY final test review questions 1-8

Jose is building a retaining wall at the edge of his property. He uses a larger block for the base, then adds blocks of uniform size to create the wall. He has a maximum height that the neighborhood allows these walls. He wants to calculate how many blocks he will use and stay under the maximum height. His expression is 12 + 8x, where the measurements are in inches. Which is of the following statements IS TRUE.

• 12 is the height of the wall

• 12 is the height of the base

• 12 is the height of each block

• 8 is the height of the wall

• 8 is the height of each block

Consider the polynomial. What is the degree of this polynomial? $5ab^2-2a^2+6b-4a^2b^3$   

• 5
  

• 4

• 3

• 2

• 1

Which expression is equivalent to  $x^{\frac{5}{2}}$  

•  $\sqrt{x^5}$  

•  $5\sqrt{x^2}$  

•  $\sqrt{5x}$  

•  $\sqrt{2x}$  

•  $5\sqrt{x^2}$  

 $\left(-3x^{-2}y^{-5}z^2\right)^{-2}$  Which expression is equivalent to

•  $9x^{-4}y^{-7}$  

•  $\frac{-9x^4y^{10}}{z^4}$  

•  $\frac{x^4y^{10}}{9z^4}$  

•  $\frac{9}{x^4y^7}$  

 $2^{\frac{1}{2}}8^{\frac{3}{4}}$  Use the properties of exponents to simplify the following:

•  $16^{\frac{4}{6}}$  

•  $2^{\frac{11}{4}}$  

•  $2^{\frac{4}{6}}$  

•  $16^{\frac{11}{4}}$  

•  $2^{\frac{3}{8}}$  

Joanna rents a canoe on vacation with a flat rate of $15 and an hourly charge of $5. She pays $50. Which expression represents her situation and how many hours did she rent for?

• 5(x+15)=50; 7 hours

• 15x+5=50; 3 hours

• 15(x+5)=50; 3 hours

• 5x+15=50; 7 hours

Which of the following is the solution set for  $4\left(3x+2\right)\times2\left(5-x\right)=0$  

• {-2/3, -5}

• {2/3, 5}

• {-2/3, 5}

• {2/3, -5}

Jayme has a cookie business. She has $25 in expenses and she want to make at least $65 a week. If x is the amount of revenue she earns from selling cookies, which inequality would represent her situation?

• $x-65\ge25$

• $x+65\ge25$

• $x+25\ge65$

• $x-25\ge65$