Direct/Inverse Variations and Dividing Polynomials

Which of the given graphs is a direct variation?

• A
• B
• C
• D

Tags

CCSS.8.EE.B.5

What kind of equation is this?
xy=8

• Linear Equation
• Direct Variation
• Inverse Variation
• Joint Variation

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

• 12 g

• 6 g

• 27 g

• 54 g

Tags

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.G.B.6

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

• 308.05 ft

• 295.75 ft

• 296.09 ft

• 253.5 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4

Determine the type of variation.

• Direct

• Inverse

• None

Tags

CCSS.HSA.CED.A.2

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

• 42

• 36

• 25

• 49

Tags

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.RP.A.3

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

• 7

• 9

• 5

• 21

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

Divide: 

(4x² - 24x + 35) / (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

Tags

CCSS.HSA.APR.D.6

• 5w ² − 4w + 3
• 12w ² − 9w + 6
• 12w ² − 12w + 9
• 5w ² − 12w+ 9

Tags

CCSS.7.EE.A.1