SS - Survey of Algebra - Chapter 6

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	1.	Represent the relation  as a graph.
a.		c.		
b.		d.		

____	2.	Solve  if the domain is 
a.		c.		
b.		d.		

____	3.	Graph 
a.		c.		
b.		d.		

____	4.	Use the vertical line test to determine which of the following relations is a function.
a.		c.		
b.		d.		

____	5.	y varies directly as x. If  when  find x when 
a.	15	c.	9	
b.	4	d.	10	

____	6.	Bryan Berg built an 83-story house of cards in 1995. He used 27,000 playing cards to accomplish this feat. At this same rate, about how many cards would it take to build a 100-story house of cards?
a.	30,750 cards	c.	2400 cards	
b.	44,900 cards	d.	32,500 cards	

____	7.	In 1930, Charles Creighton and James Hargis drove their 1929 Roadster 3340 miles across the United States in reverse. They drove for 19 days without once stopping the engine. At the same rate, about how far could they have gone in 50 days?
a.	8542 miles	c.	8789 miles	
b.	7984 miles	d.	none of these	

____	8.	In 3 hours, Fast Eddy McDonald performed 21,663 loops with his yo-yo. How many could he do in 8 hours at this rate?
a.	58,738	c.	57,768	
b.	59,348	d.	56,588	

____	9.	Heather’s weekly pay is directly proportional to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work.
a.	$320	c.	$275	
b.	$290	d.	$295	

____	10.	Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and thunder, about how far away was the lightning?
a.	0.8 mile	c.	1.8 miles	
b.	1 mile	d.	1.2 miles	

____	11.	y varies inversely as x. If x is 42 when y is 28, find x when y is 49.
a.		c.		
b.		d.		

____	12.	The time it takes to arrive at a destination is inversely proportional to the speed traveled. If it takes 11 hours to get to Branson, Missouri at 35 miles per hour, find the travel time at 55 miles per hour.
a.	5.5 hours	c.	6 hours	
b.	9 hours	d.	7 hours	

____	13.	As Tom Sawyer discovered, the amount of time required to paint a fence varies inversely as the number of people who paint the fence. If it takes 4 hours for 12 people to paint a fence, how long would it take 3 people?
a.	8 hours	c.	15 hours	
b.	9 hours	d.	16 hours	

____	14.	An art club is planning a bus trip to New York City to visit the Museum of Modern Art. The price per person of renting a bus varies inversely with the number of people renting the bus. It costs $36 per person if 75 people rent the bus. How much will it cost per person if 100 people rent the bus?
a.	$39.96	c.	$27.00	
b.	$48.00	d.	$20.83	

____	15.	The resistance, R, to the flow of electricity through an electrical circuit varies inversely with the size of the current, I, in amperes. If the resistance is 15 ohms for a current of 4 amperes, find the resistance for 6 amperes.
a.	12 ohms	c.	13 ohms	
b.	22.5 ohms	d.	10 ohms	

____	16.	If the area remains constant, then the length l of this rectangle varies inversely as its width w.

What is the width of the rectangle when the length is 24 meters?
a.	2 meters	c.	6 meters	
b.	13.5 meters	d.	1 meter