Alg 1 review for test chap 7

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

____	1.	Tom has a collection of 30 CDs and Nita has a collection of 12 CDs. Tom is adding 2 CDs a month to his collection while Nita is adding 4 CDs a month to her collection. Write and graph a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.
a.	

9 months	c.	

3 months	
b.	

3 months	d.	

48 months	

____	2.	Find a solution to the following system of equations.  Use either elimination or substitution methods.

a.	(2, 16)	b.	(62, 16)	c.	(0, 1)	d.	(–2, 0)	

____	3.	Which graph represents the following system of equations?
y = 3x + 2
y = –x – 1
a.		c.		
b.		d.		

____	4.	What is the solution of the system of equations?  Substitution method is easiest in this case.
y = –3x + 6
y = –2x – 1
a.	(7, –15)	b.	(–5, 9)	c.	(–1.4, 10.2)	d.	(–15, 7)	

Graph this system if necessary. Tell whether the system has no solution, one solution, or infinitely many solutions.

____	5.	y = –4x – 3
y = –4x + 2
a.	no solutions	
b.	one solution	
c.	infinitely many solutions	

Solve the system of equations using substitution.

____	6.	y = 2x + 1
y = 3x + 4
a.	(7, 3)	b.	(3, 13)	c.	(3, 7)	d.	(–3, –5)	

____	7.	y = 4x – 8
y = 2x – 10
a.	(5, 13)	b.	(3, 4)	c.	(3, –4)	d.	(–1, –12)	

____	8.	The sum of two numbers is 68. Their difference is 28. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.
a.	x + y = 68
x – y = 28
43 and 15	c.	x + y = 28
y – x = 68
43 and 21	
b.	x + y = 68
x – y = 28
48 and 20	d.	x – y = 68
x + y = 28
47 and 21	

Solve the system using elimination.

____	9.	5x + y = 13
4x – y = 5
a.	(1, 4)	b.	(3, 2)	c.	(2, 3)	d.	(3, –2)	

____	10.	4x + 2y = 6
2x + 6y = 28
a.	(–1, 5)	b.	(5, –1)	c.	(–1, 3)	d.	(2, 4)	

____	11.	A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by elimination to find the number of nickels and dimes that are in the jar.
a.	30 nickels and 30 dimes	c.	29 nickels and 31 dimes	
b.	31 nickels and 29 dimes	d.	28 nickels and 32 dimes	

____	12.	By what number should you multiply the first equation to solve using elimination?
3x – 2y = –9
12x + 3y = –3
a.	4	b.	6	c.	3	d.	12	

Graph the inequality.

____	13.	
a.		c.		
b.		d.		

____	14.	   You need to rearrange the inequality before graphing it.
a.		c.		
b.		d.		

____	15.	
a.		c.		
b.		d.		

____	16.	
a.		c.		
b.	
	d.		

Write the linear inequality shown in the graph.

____	17.	
a.		b.		c.		d.		

____	18.	
a.		b.		c.		d.		

____	19.	Find a solution of the linear inequality.  You do not need to graph this equation to find the answer.

a.	(3, 4)	b.	(2, 1)	c.	(3, 0)	d.	(1, 1)	

Solve the system of linear inequalities by graphing.  The overlap of the shaded regions is shown in each graph.

____	20.	

a.		c.		
b.		d.		

Short Answer

	21.	Graph the following linear inequalities on the same coordinate plane. What figure does the solution to all three inequalities make?

Alg 1 review for test chap 7
Answer Section

MULTIPLE CHOICE

	1.	ANS:	A	PTS:	1	DIF:	L2	REF:	7-1 Solving Systems By Graphing
OBJ:	7-1.1 Solving Systems By Graphing			
NAT:	NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
STA:	CO 9.2.3.b | CO 9.2.5.a	TOP:	7-1 Example 2		
KEY:	word problem | problem solving | system of linear equations | graphing a system of linear equations

	2.	ANS:	D	PTS:	1	DIF:	L3	REF:	7-1 Solving Systems By Graphing
OBJ:	7-1.1 Solving Systems By Graphing			
NAT:	NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
STA:	CO 9.2.3.b | CO 9.2.5.a	TOP:	7-1 Example 1		
KEY:	system of linear equations | graphing a system of linear equations	

	3.	ANS:	D	PTS:	1	DIF:	L2	REF:	7-1 Solving Systems By Graphing
OBJ:	7-1.1 Solving Systems By Graphing			
NAT:	NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
STA:	CO 9.2.3.b | CO 9.2.5.a	TOP:	7-1 Example 1		
KEY:	system of linear equations | graphing a system of linear equations	

	4.	ANS:	A	PTS:	1	DIF:	L2	REF:	7-1 Solving Systems By Graphing
OBJ:	7-1.1 Solving Systems By Graphing			
NAT:	NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
STA:	CO 9.2.3.b | CO 9.2.5.a	TOP:	7-1 Example 1		
KEY:	system of linear equations | graphing a system of linear equations	

	5.	ANS:	A	PTS:	1	DIF:	L2	REF:	7-1 Solving Systems By Graphing
OBJ:	7-1.2 Analyzing Special Types of Systems		
NAT:	NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
STA:	CO 9.2.3.b | CO 9.2.5.a	TOP:	7-1 Example 4 | 7-1 Example 5
KEY:	system of linear equations | graphing a system of linear equations | no solution | infinitely many solutions

	6.	ANS:	D	PTS:	1	DIF:	L2	
REF:	7-2 Solving Systems Using Substitution		OBJ:	7-2.1 Using Substitution
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-2 Example 1			KEY:	system of linear equations | substitution method

	7.	ANS:	D	PTS:	1	DIF:	L2	
REF:	7-2 Solving Systems Using Substitution		OBJ:	7-2.1 Using Substitution
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-2 Example 1			KEY:	system of linear equations | substitution method

	8.	ANS:	B	PTS:	1	DIF:	L3	
REF:	7-3 Solving Systems Using Elimination		
OBJ:	7-3.1 Adding or Subtracting to Solve Systems	
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
KEY:	word problem | problem solving | system of linear equations | elimination method | adding or subtracting equations		

	9.	ANS:	C	PTS:	1	DIF:	L2	
REF:	7-3 Solving Systems Using Elimination		
OBJ:	7-3.1 Adding or Subtracting to Solve Systems	
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-3 Example 1			
KEY:	system of linear equations | elimination method | adding or subtracting equations

	10.	ANS:	A	PTS:	1	DIF:	L2	
REF:	7-3 Solving Systems Using Elimination		
OBJ:	7-3.2 Multiplying First to Solve Systems		
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-3 Example 3			
KEY:	system of linear equations | elimination method | adding or subtracting equations

	11.	ANS:	B	PTS:	1	DIF:	L2	
REF:	7-3 Solving Systems Using Elimination		
OBJ:	7-3.2 Multiplying First to Solve Systems		
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-3 Example 4			
KEY:	word problem | problem solving | system of linear equations | elimination method | adding or subtracting equations		

	12.	ANS:	A	PTS:	1	DIF:	L2	
REF:	7-3 Solving Systems Using Elimination		
OBJ:	7-3.2 Multiplying First to Solve Systems		
NAT:	NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2		STA:	CO 9.2.3.b
TOP:	7-3 Example 3			
KEY:	system of linear equations | elimination method | adding or subtracting equations

	13.	ANS:	B	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	14.	ANS:	A	PTS:	1	DIF:	L3	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 2			KEY:	linear inequality | graphing

	15.	ANS:	C	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	16.	ANS:	B	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	17.	ANS:	D	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	18.	ANS:	A	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	19.	ANS:	D	PTS:	1	DIF:	L2	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	TOP:	7-5 Example 1			KEY:	linear inequality | graphing

	20.	ANS:	B	PTS:	1	DIF:	L2	REF:	7-6 Systems of Linear Inequalities
OBJ:	7-6.1 Solving Systems of Linear Inequalities by Graphing		
NAT:	NAEP 2005 A4g | ADP J.4.4	STA:	CO 9.2.5.a	TOP:	7-6 Example 1
KEY:	linear inequality | graphing | system of linear inequalities | graphing a system of linear inequalities

SHORT ANSWER

	21.	ANS:	

The figure is an isosceles triangle.

PTS:	1	DIF:	L4	REF:	7-5 Linear Inequalities
OBJ:	7-5.1 Graphing Linear Inequalities	NAT:	NAEP 2005 A3a | ADP J.4.4
STA:	CO 9.2.5.a	KEY:	linear inequality | graphing