Multi-variable Equations

Re-write the equation 2x − 4y = 12 so that "y" is isolated.

• y = 2x − 3
• y = (½)x + 3
• y = ⁻2x− 3
• y= (½)x - 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which equation below could have produced this solution table?

• y = 3.75x + 2.5
• y = 3.75x + 2
• y = 2x + 2
• y = 2x + 2.5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Re-arrange the formula
 A= 2πr² + 2πrh
so that "h" is isolated.
[Hint: Remember the butterfly...]

• h = A/(2πr) − r
• h = (2Aπr)/(2πr)
• h = A/(2πr³)
• h = A − (2r)/π 

Which of the following ordered pairs solves the equation 3x + 2y = 12 ?

• (2, 3)
• (3, 2)
• (6, 0)
• (0, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

This means to re-write an equation so that one variable is alone on its side of the equals sign.

• Isolate
• Integrate
• Solve
• Simplify

A multi-variable equation that represents a real-life relationship (such as d = rt) is known as a/an...

• Formula
• Integral
• Expression
• Derivative

Tags

CCSS.HSF-LE.A.1B

Re-write the formula  
A = (⅓)πr²h so that "h" is isolated:

• h = ( 3A )/( πr² )
• h = ( 3πA )/(r² )
• h = ( A )/(3πr² )
• h=3Aπr²

Which equation best represents the relationship between x and y in the table shown?

• y= 5x+5
• y=1/5x+5
• y=15x+5
• y=10x+5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost "c" of hitting "b" buckets of golf balls.

• c = 2.75b + 4
• c = 2.75b
• c =  4b- 2.75
• c = 2.75b - 4

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15