Unit 4

Miriam is starting a lawn mowing business. She bought a mower for $450 and will spend about $1.20 per hour on gasoline. How many hours will it take for the average cost per hour for Miriam to do business to be less than $50. If x represents the number of hours she mows, which inequality shows the average cost per hour for Miriam to do business and what is the solution?

• $450\ +1.20x\ <\ 50$ ; she can never have an average less than $50

• $\frac{450}{x}+1.20x\ <\ 50$ ; 14 hours

• $\frac{450\ +1.20x}{x}\ <\ 50$ ; 10 hours

• $\frac{450\ -\ 1.20x}{x}\ <\ 50$ ; 9 hours

Tags

CCSS.HSA.REI.A.2

Mercury High School is requiring students to purchase parking permits this year in order to use campus parking lots. It costs the school a one-time fee of $500 to have the logo designed. It also costs $2 per permit to print and cut out each one. How many parking permits does Mercury High School need to sell in order for the average cost of a student’s parking permit to be $6?

• 55

• 85

• 125

• 155

Tags

CCSS.7.EE.B.4A

What solution would be extraneous for the equation  $\sqrt{x+2}=x$  ?

• x = -1

• x = 2

• x = -2

• x = 0

Tags

CCSS.HSA.REI.A.2

Solve this radical equation $2+\left(2x+6\right)^{\frac{1}{3}}=4$  
Reminder:  $\left(x^{\frac{1}{3}}\right)^3\ =x$  

• 15

• 5

• 1

• -1

Tags

CCSS.HSA.REI.A.2

Write the expression $8^{\frac{5}{3}}$  in radical form, and simplify.  Round to the nearest whole number if necessary.

• 
• 
•  $\frac{5}{3}\sqrt{8}\ ;\ 32$  

•  $\frac{8^5}{8^3}\ ;\ 64$  

Tags

CCSS.HSN.RN.A.2

Solve this equation $1+\sqrt{2x+3}=6$  algebraically or by graphing

• 36

• 1

• 23

• 11

Tags

CCSS.HSA.REI.A.2