SS - Survey of Algebra - Ch. 2

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

____	1.	Which of the following are the coordinates of the points graphed on the number line below?

a.		c.		
b.		d.		

____	2.	Which of the following number lines shows the graph of ?
a.		
b.		
c.		
d.		

____	3.	Which of the following statements is false?
a.		c.		
b.		d.		

____	4.	Find.
a.		c.		
b.		d.		

____	5.	Which is the graph of the point ?
a.		c.		
b.		d.		

____	6.	What are the coordinates of point A?

a.		c.		
b.		d.		

____	7.	Which table is correct?
a.		
b.		
c.		
d.		

____	8.	Which table is correct for the points on the graph below?

a.		
b.		
c.		
d.		

____	9.	Sarita filled out the table incorrectly. Which point has the wrong quadrant?

Point	x-coordinate	y-coordinate	Ordered Pair	Quadrant	
T	4	2	(4, 2)	I	
W	3	11	(3, 11)	IV	
X	5	8	(5, 8)	II	
Y	2	7	(2, 7)	IV	

a.	point Y	c.	point X	
b.	point W	d.	point T	

____	10.	For which point is the row in the table filled out incorrectly?

Point	x-coordinate	y-coordinate	Ordered Pair	
D	5	2	(2, 5)	
E	1	2	(1, 2)	
F	5	5	(5, 5)	
G	2	5	(2, 5)	

a.	point F	c.	point G	
b.	point E	d.	point D	

____	11.	Which set of ordered pairs will complete the table for the graph below?

Point	x-coordinate	y-coordinate	Ordered Pair	
D				
E				
F				
G				

a.	(5, 0), (2, –3), (–4, –6), (–3, 4)	c.	(–6, –4), (0, 5), (–3, 2), (4, –3)	
b.	(–4, –6), (0, 5), (4, –3), (–3, 2)	d.	(–3, 4), (5, 0), (–6, –4), (2, –3)	

____	12.	Find the sum.
a.		c.		
b.		d.		

____	13.	In 1983, five rhinos were set free in the Dudhwa Tiger Reserve in India in which there were no rhinos. Two of the rhinos died. Four more rhinos were released in the reserve.* How many rhinos lived in the reserve?
*Source: Tiger Reserves, Dudhwa Tiger Reserve, Project Tiger, 1993, Ministry of Environment & Forests, Government of India, 22 Aug. 2000 <http://envfor.nic.in/pt/pt.html>.
a.	6 rhinos	c.	7 rhinos	
b.	4 rhinos	d.	11 rhinos	

____	14.	An arched bridge spans a river. The south end of the bridge has an elevation of 243 feet. Crossing the bridge from south to north, you first gain 45 feet to the top of the arch, then lose 22 feet to the north end of the bridge. What is the elevation at the north end of the bridge?
a.	221 ft	c.	176 ft	
b.	310 ft	d.	266 ft	

____	15.	Evaluate. Sandra had $50 in her checking account. Over the next week, she wrote checks for $20 and $15 and made a deposit of $40. Find the balance in her account.
a.	$125	c.	$45	
b.	$55	d.	$25	

____	16.	A clothing store started with 20 shirts and ordered 25 and 30 shirts over a period of two months. Over the same period of two months they sold 32 and 36 shirts. How many shirts did they have at the end of the two months?
a.	7	c.	33	
b.	143	d.	11	

____	17.	The graphs of A(5, 3) and B(4, 6) are connected to form a line segment. Which graph shows the line segment formed by adding 3 to each x-coordinate?

a.		c.		
b.		d.		

____	18.	Find the sum. 
a.		c.		
b.		d.		

____	19.	The points A(3, 4) and B(2, 1) are connected to form a line segment. Which graph shows the line segment formed by subtracting 2 from each y-coordinate?

a.		c.		
b.		d.		

____	20.	In a recent year, 350 people moved from a rural county to the state’s capital, and 88 people moved from the state’s capital to the same rural county. Find the net change in the rural county’s population.
a.	–262 people	c.	+438 people	
b.	+262 people	d.	–438 people	

____	21.	The record high temperature for a city is 119F and the record low is 101F lower. What is the record low temperature?
a.	220F	c.	18F	
b.	220F	d.	18F	

____	22.	A dog breeder starts the year with 6 dalmatians. Sixteen dalmatians are born, fifteen are sold, and the breeder buys one dalmatian from another dog breeder. How many dalmatians does the dog breeder have at the end of the year?
a.	38 dalmatians	c.	8 dalmatians	
b.	6 dalmatians	d.	36 dalmatians	

____	23.	The table shows the Griggs family’s budget and expense summary for March.

Expenses	Amount Budgeted
(dollars)	Amount Spent
(dollars)	
Food	170	183	
Rent	400	400	
Utilities	165	157	
Entertainment	80	84	
Miscellaneous	50	27	

(a) For each item, find the difference between the amount budgeted and the amount spent.
(b) What does a negative difference indicate?
(c) Was the total amount spent for those items more or less than the amount budgeted? by how much?
a.	(a) food: $13; rent: $0; utilities: $8; entertainment: $4; miscellaneous: $23
(b) More money was spent than was budgeted.
(c) less, $14	
b.	(a) food: $13; rent: $0; utilities: $8; entertainment: $4; miscellaneous: $23
(b) Less money was spent than was budgeted.
(c) more, $14	
c.	(a) food: $13; rent: $0; utilities: $8; entertainment: $4; miscellaneous: $23;
(b) More money was spent than was budgeted.
(c) more, $14	
d.	(a) food: $13; rent: $0; utilities: $8; entertainment: $4; miscellaneous: $23;
(b) Less money was spent than was budgeted.
(c) less, $14	

____	24.	Find: 
a.		c.		
b.		d.		

____	25.	The points A(8, 9), B(9, 2), and C(0, –4) are connected with line segments to form a triangle. Which graph shows the triangle formed by multiplying each x-coordinate by –1?

a.		c.		
b.		d.		

____	26.	Find the next term in the pattern. 1, 3, 9, 27, ... .
a.	27	c.	–27	
b.	81	d.	–81	

____	27.	A skier on a mountain descends in elevation at a rate of 50 feet per minute. Write a multiplication equation that describes the change in elevation of the skier after 4 minutes.
a.		c.		
b.		d.		

____	28.	After reaching a high temperature of 25C at 2:00 P.M., the temperature drops at a rate of 2C per hour. What is the temperature at 5:00 P.M.?
a.	19C	c.	31C	
b.	23C	d.	15C	

____	29.	A scuba diver descends below the surface of the ocean at a rate of 10 feet per minute. Write an equation that shows the diver’s position compared to the ocean surface after 3 minutes.
a.		c.		
b.		d.		

____	30.	Find: 
a.		c.		
b.		d.		

____	31.	Due to melting snow and heavy rains, a river’s flow reached a high of 40,500 cubic feet per second before decreasing. Five months later, the river flowed at 5700 cubic feet per second. What was the average change in river flow for each month?
a.	6960 cubic feet per second	c.	–6960 cubic feet per second	
b.	–9240 cubic feet per second	d.	–34,800 cubic feet per second	

____	32.	The table shows the amount of merchandise sold by a store.What was the average change in the number of digital cameras sold in each of the five years from 1995 to 2000?

Type of Merchandise	1995	2000	
35 mm cameras	1534	1753	
digital cameras	152	1197	
camcorders	439	515	

a.	209 digital cameras	c.	269.8 digital cameras	
b.	239.4 digital cameras	d.	–209 digital cameras	

____	33.	Assume that the table shows the number of acres in a rural county planted in orchards. What is the average change in acres of pear orchards for the eight years from 1992 to 2000?

Type of Orchard	1992	2000	
Apple	5258	4890	
Pear	6865	5921	
Cherry	2823	3035	

a.	–46 acres	c.	–118 acres	
b.	–1598.25 acres	d.	–944 acres	

____	34.	The stock of a certain company was valued at 54 points. Twelve months later, the same stock was valued at 30 points. What was the average change in the value of the stock for each of the last twelve months?
a.	2.5 points	c.	2 points	
b.	7 points	d.	4.5 points	

____	35.	The strip of land between a cliff and a coastal highway is shrinking due to erosion. Suppose that the land between the cliff and the highway in one section shrank from a width of 66 feet to a width of 48 feet over a period of six years. What was the average change in width of the land between the cliff and the highway for each year?
a.	3 ft	c.	19 ft	
b.	19 ft	d.	3 ft