SS- Linear - Chapter 3

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

Express each relation as a graph and a mapping. Then determine the domain and range.

____	1.	{(3, 1), (2, –5), (2, 4), (3, 3)}
a.	

D = {2, 3}; R = {–5, 1, 3, 4}	c.	

D = {2, 3}; R = {–5, 1, 3, 4}	
b.	

D = {2, 3}; R = {–5, 1, 3, 4}	d.	

D = {2, 3}; R = {–5, 1, 3, 4}	

____	2.	{(1, 1), (–2, 3), (2, 4), (3, 1)}
a.	

D = {–2, 1, 3}; R = {1, 3, 4}	c.	

D = {–2, 1, 2, 3}; R = {1, 3, 4}	
b.	

D = {–2, 1, 2, 3}; R = {1, 3, 4}	d.	

D = {–2, 1, 2, 3}; R = {1, 3, 4}	

____	3.	{(1, 0), (–2, –3), (2, 1), (2, 0)}
a.	

D = {–2, 1, 2}; R = {–3, 0, 1}	c.	

D = {–2, 1, 2}; R = {–3, 0, 1}	
b.	

D = {–3, 0, 1}; R = {–2, 1, 2}	d.	

D = {–2, 1, 2}; R = {–3, 0, 1}	

____	4.	{(1, –2), (–2, –3), (2, 4), (1, –4)}
a.	

D = {–2, 1, 2}; R = {–4, –3, –2, 4}	c.	

D = {–2, 1, 2}; R = {–4, –3, –2, 4}	
b.	

D = {–2, 1, 2, 4}; R = {–4, –3, –2}	d.	

D = {–2, 1, 2}; R = {–4, –3, –2, 4}	

____	5.	{(3, –4), (1, –2), (3, 5), (3, 0), (1, 5)}
a.	

D = {1, 3}; R = {–4, –2, 0, 5}	c.	

D = {1, 3}; R = {–4, –2, 0, 5}	
b.	

D = {1, 1, 3}; R = {–4, 2, 0, 5}	d.	

D = {1, 3}; R = {–4, –2, 0, 5}	

Express each relation as a graph and a table. Then determine the domain and range.

____	6.	{(5, –2), (4, 4), (2, –3), (0, 5), (1, 5)}
a.	

D = {0, 1, 2, 4, 5}; R = {–3, –2, 4, 5}	c.	

D = {0, 1, 2, 4, 5}; R = {–3, –2, 4, 5}	
b.	

D = {0, 1, 2, 4, 5}; R = {–3, –2, 4, 5}	d.	

D = {0, 1, 2, 4 }; R = {–3, –2, 4, 5}	

____	7.	{(0, –1), (3, 4), (–4, –3), (0, –3), (–4, –2)}
a.	

D = {–4, 0, 3}; R = {–3, –2, –1, 4}	c.	

D = {–4, 0, 3}; R = {–3, –2, –1, 4}	
b.	

D = {–4, 0, 3}; R = {–3, –1, 4}	d.	

D = {–4, 0, 3}; R = {–3, –2, –1, 4}	

____	8.	{(2, –1), (3, –1), (4, –1), (0, –1), (–4, –1)}
a.	

D = {–4, 0, 2, 3, 4}; R = {–1}	c.	

D = {–4, 0, 2, 3, 4}; R = {–1}	
b.	

D = {–4, 0, 2, 3, 4}; R = {–1}	d.	

D = {–4, 0, 2, 3}; R = {–1}	

____	9.	{(1, 1), (3, 3), (4, 4), (0, 0), (–4, –4)}
a.	

D = {–4, 0, 1, 3, 4}; R = {–4, 0, 1, 3, 4}	c.	

D = {–4, 1, 0, 3, 4}; R = {–4, 1, 0, 3, 4}	
b.	

D = {–4, 0, 1, 3, 4}; R = {–4, 0, 1, 3, 4}	d.	

D = {1, 0, 3, 4}; R = {–4, 0, 1, 3, 4}	

Express the relation shown in each table, mapping, or graph as a set of ordered pairs. Then write the inverse of the relation.

____	10.	
x	y	
3	5	
4	2	
3	3	
2	6	

a.	Relation: {(3, 5), (4, 2), (2, 6)}
Inverse: {(5, 3), (2, 4), (6, 2)}	
b.	Relation: {(5, 3), (2, 4), (3, 3), (6, 2)}
Inverse: {(3, 5), (4, 2), (3, 3), (2, 6)}	
c.	Relation: {(3, 5), (4, 2), (3, 3), (2, 6)}
Inverse: {(3, 5), (2, 4), (3, 5), (6, 2)}	
d.	Relation: {(3, 5), (4, 2), (3, 3), (2, 6)}
Inverse: {(5, 3), (2, 4), (3, 3), (6, 2)}	

____	11.	
a.	Relation: {(3, –4), (3, 6), (3, 5)}
Inverse: {(–4, 3), (6, 3), (5, 3)}	
b.	Relation: {(3, –4), (3, 6), (–5, –1), (3, 5)}
Inverse: {(–4, 3), (6, 3), (–1, –5), (5, 3)}	
c.	Relation: {(–4, 3), (6, 3), (–1, –5), (5, 3)}
Inverse: {(3, –4), (3, 6), (–5, –1), (3, 5)}	
d.	Relation: {(3, –4), (3, 6), (–5, –1), (3, 5)}
Inverse: {(3, –4), (6, 3), (3, –4), (5, 3)}	

____	12.	Which relation is a function?
a.		c.		
b.		d.		

____	13.	Which relation is a function?
a.		c.		
b.		d.		

____	14.	Which relation is a function?
a.		c.		
b.		d.		

____	15.	Which relation is a function?
a.	{(5, 3), (2, 8), (–5, –1), (4, 7), (2, 1)}	
b.	{(5, 3), (2, 8), (–5, –1), (4, 7), (5, 7)}	
c.	{(–5, 3), (2, 8), (–5, –1), (4, 7), (2, 2)}	
d.	{(5, 3), (2, 8), (–5, –1), (4, 7), (–2, 1)}	

____	16.	Which relation is a function?
a.		c.		
b.		d.		

____	17.	, find .
a.	13	c.	12	
b.	15	d.	17	

____	18.	If , find .
a.	–85	c.	5	
b.	27	d.	–5	

Find the solution set for the equation, given the replacement set.

____	19.	y = 7x + 6; {(5, 41), (6, 44), (4, 39), (7, 42)}
a.	{(7, 42)}	c.	{(6, 44)}	
b.	{(4, 39)}	d.	{(5, 41)}	

____	20.	–x + 5y = –2; {(7, 1.6), (5, 0.6), (6, 3.6), (4, –1.4)}
a.	{(5, 0.6)}	c.	{(6, 3.6)}	
b.	{(4, –1.4)}	d.	{(7, 1.6)}	

Solve the equation for the given domain. Graph the solution set.

____	21.	y = 2x – 1 for x = {–3, –1, 1, 2, 3}
a.	{(–3, –7), (–1, –3), (1, 1), (5, 5), (3, 5)}
	
b.	{(–3, –6), (–1, –3), (1, 1), (2, 3), (3, 5)}
	
c.	{(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}
	
d.	{(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}

____	22.	3x –  y = –1 for x = {–1, 0, 1, 4}
a.	{(–1, –2), (0, 1), (1, 4), (4, 13)}
	c.	{(–1, –1), (0, 1), (1, 4), (4, 13)}
	
b.	{(–1, –2), (0, 1), (1, 4), (7, 15)}
	d.	{(–1, –2), (0, 1), (1, 4), (4, 13)}

Determine whether the sequence is an arithmetic sequence. If it is, state the common difference.

____	23.	5, 0, –5, –10, . . .
a.	yes, –5	c.	yes, 3	
b.	no	d.	yes, 4	

____	24.	2.6, 4.2, 3.1, 2.4, . . .
a.	no	c.	yes, 1.6	
b.	yes, –0.7	d.	yes, –1.1	

Find the next three terms of the arithmetic sequence.

____	25.	55, 47, 39, 31, . . .
a.	36, 41, 46	c.	29, 27, 25	
b.	23, 15, 7	d.	26, 21, 16	

____	26.	, , , , . . .
a.	, , 	c.	, , 	
b.	, , 	d.	, , 	

____	27.	The table below shows the cost of cartons of milk.

Graph the data.

a.		c.		
b.		d.		

____	28.	The table below shows the yearly sales of a CD player in a particular store.

Year	1	2	3	4	5	6	
Sales	55	100	145	490	235	280	

Find an equation in function notation for the relation.

a.		c.		
b.		d.		

____	29.	The table below shows the effect of time spent studying on the test scores of a student.

Time Spent Studying (min)	10	15	20	25	30	35	
Test Score	60	62.5	65	67.5	70	72.5	

Graph the data.

a.	
	c.	
	
b.	
	d.	

____	30.	The table below shows the number of copies a copier can make related to the number of minutes the machine has been running.

Time (min)	2	4	6	8	10	
Number of Copies	15	30	45	60	75	

Find the number of copies the copier can make in 20 minutes.
a.	150	c.	302	
b.	600	d.	300