Algebra 2 Variations Practice

Which of the following is the graph of a direct square variation?

• Straight Line

• Quadratic Curve

• Broken Line

• Hyperbola

Tags

CCSS.HSF-IF.C.7A

If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?

• 121

• 4

• 100

• 6

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2

• $308

• $1.57

• $265

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36

• 9

• 25

• 36

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

• $22.50

• $57.60

• $1.11

• $12.50

What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study

• direct variation

• inverse variation

• joint variation

• none of these

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable 

• direct variation

• inverse variation

• joint variation

• none of these

Suppose y varies jointly as x & z. 
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.

• -140

• 140

• -4

• 4

Solve for x if :
f(x) = 35
f(x) = 2x + 10

• 35

• 12.5

• 2

• 10.5

Tags

CCSS.HSF.IF.A.2

Solve for f(10):
f(10) = -x - 5

• 15

• -5

• -15

• 50

Tags

CCSS.HSF.IF.A.2