Mini-Quiz #1: Quantities & Modeling, Functions

Kegan wants to buy a new garden fountain that will cost $180. So far, Kegan has saved $60 toward the purchase of the fountain. To raise the remaining money needed, Kegan mows his neighbor's lawn and charges $10 each time he completes his job.

a) Write an equation to find x, the number of times Kegan mows his neighbor's lawn.

b) How many times will Kegan need to mow his neighbor's lawn to have enough money to buy the fountain?

• 10x + 60 = 180; x= 12 times

• 60x + 10 =180; x = 3 times

• 10x = 180; x = 18 times

• 10x - 60 = 180; x = 24 times

Tags

CCSS.7.EE.B.4A

 $C\ =\ 2\pi r$  

Solve for the indicated variable in the math formula.

Solve for r.

•  $r\ =2\pi C$  

•  $r\ =\frac{2\pi}{C}$  

•  $r\ =\ \frac{C}{2\pi}$  

•  $r\ =\frac{1}{2\pi}$  

Tags

CCSS.HSA.CED.A.4

A crane cable can support a maximum load of 15,000 kg. If a bucket has a mass of 2,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?

Select the inequality that represents this situation.

(Note: Write down the inequality because you will need it for the next question.)

• $g\le15,000$

• $2000\ +\ 1,500g\ \le15,000$

• $1,500\ +\ 2,000g\ \le15,000$

• $15,000+1500g\le2,000$

Tags

CCSS.7.EE.B.4B

A crane cable can support a maximum load of 15,000 kg. If a bucket has a mass of 2,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?

(Note: Solve for the inequality you selected in the previous question.

•  $g\le7.5\ meters^3$ 

•  $g\ <7.5\ meters^3$ 

•  $g\le8\ \frac{2}{3}\ meters^3$ 

•  $g<8\ \frac{2}{3}\ meters^3$ 

Pilots in the U.S. Air Force must meet certain height requirements. They must be at least 5 feet 4 inches tall, but not taller than 6 feet 2 inches. Convert the heights to inches and express as an inequality.
(Note: Write down your work and answer because you will need it for the next problem.)

•  $5.4\le x\le6.2$  

•  $5.4<x<6.2$  

•  $64<x<74$  

•  $64\le x\le74$  

Pilots in the U.S. Air Force must meet certain height requirements. They must be at least 5 feet 4 inches tall, but not taller than 6 feet 2 inches. Select the graph that represent this inequality in inches.

(Use the inequality you chose in previous question to help you.)

• A

• B

• C

• D

• $0\le x\le1$

• $2\le x\le3$

• $4\le x\le5$

• $8\le x\le9$

Tags

CCSS.HSF.IF.B.4