Creating Equations and Systems

What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25

• price of a saxophone

• rental fee

• total cost

• number of months

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Riley charges a $10 fee just to show up, and then $8 a minute to play piano for events. What equation shows how much she charges for x minutes of piano playing?

• 10x+8=y

• 8x+10=y

• 10+x+8=y

• 10xy=8

There are 37 more cats c than dogs d at the shelter. If there are 78 cats at the shelter, which equation represents the relationship between the number of cats and dogs?

• d+37=78

• d-37=78

• c+37=78

• c-37=78

The total cost, C, is 13 times the number of books bought, n.

What equation represents this?

• c=13n

• n=13c

• c-n=13

• n/13=c

Solve for h.

g+3h=i

• h=(i-g)/3

• h=3ig

The formula for volume of a rectangular prism is V=LWH. Which formula solves for L?

• L=WH/V

• L=V/WH

• L=V-WH

• L=VWH

Solve for z.

x=yz

• z=yx

• z=x/y

• z=y/x

• z=x-y