Algebra Concepts Final Exam

What is the slope of the line that passes through the pair of points?

	1.	(4, 4), (10, 3)

	2.	(–2.7, 2.9), (1.3, –17.1)

	3.	(, ), (, )

What is the slope of the line?

	4.	

	5.	

What are the slope and y-intercept of the graph of the given equation?

	6.	 y = –7x + 1

	7.	 y = –1.4x + 1.2

Write an equation of a line with the given slope and y-intercept.

	8.	m = –4, b = –5

	9.	m = 2.9, b = 9.7

Graph the equation.

	10.	y = 5x – 5

Find the x- and y-intercept of the line.

	11.	–5x + y = 35

What is the graph of the equation?

	12.	y = –2

	13.	x = –1

What is the simplified form of each expression?

	14.	

	15.	

	16.	

What is each expression written using each base only once?

	17.	

	18.	

What is the simplified form of each expression?

	19.	

Find the simplified form of the expression. Give your answer in scientific notation.

	20.	

What is the simplified form of the expression?

	21.	

What is the simplified form of each expression?

	22.	

What is the simplified form of each expression?

	23.	

What is the simplified form of the expression?

	24.	

	25.	

	26.	
Algebra Concepts Final Exam
Answer Section

	1.	ANS:	

PTS:	1	DIF:	L2	REF:	5-1 Rate of Change and Slope
OBJ:	5-1.2 To find slope		NAT:	CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b
STA:	PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
TOP:	5-1 Problem 3 Finding Slope Using Points		KEY:	slope

	2.	ANS:	
–5

PTS:	1	DIF:	L3	REF:	5-1 Rate of Change and Slope
OBJ:	5-1.2 To find slope		NAT:	CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b
STA:	PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
TOP:	5-1 Problem 3 Finding Slope Using Points		KEY:	slope

	3.	ANS:	

PTS:	1	DIF:	L4	REF:	5-1 Rate of Change and Slope
OBJ:	5-1.2 To find slope		NAT:	CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b
STA:	PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
TOP:	5-1 Problem 3 Finding Slope Using Points		KEY:	slope

	4.	ANS:	
0

PTS:	1	DIF:	L3	REF:	5-1 Rate of Change and Slope
OBJ:	5-1.2 To find slope		NAT:	CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b
STA:	PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
TOP:	5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines	
KEY:	slope

	5.	ANS:	
undefined

PTS:	1	DIF:	L3	REF:	5-1 Rate of Change and Slope
OBJ:	5-1.2 To find slope		NAT:	CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b
STA:	PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3
TOP:	5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines	
KEY:	slope

	6.	ANS:	
The slope is –7 and the y-intercept is 1.

PTS:	1	DIF:	L2	REF:	5-3 Slope-Intercept Form
OBJ:	5-3.1 To write linear equations using slope-intercept form		
NAT:	CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b	STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-3 Problem 1 Identifying Slope and y-intercept	
KEY:	linear equation | y-intercept | slope-intercept form

	7.	ANS:	
The slope is –1.4 and the y-intercept is 1.2.

PTS:	1	DIF:	L3	REF:	5-3 Slope-Intercept Form
OBJ:	5-3.1 To write linear equations using slope-intercept form		
NAT:	CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b	STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-3 Problem 1 Identifying Slope and y-intercept	
KEY:	linear equation | y-intercept | slope-intercept form

	8.	ANS:	
y = –4x – 5

PTS:	1	DIF:	L2	REF:	5-3 Slope-Intercept Form
OBJ:	5-3.1 To write linear equations using slope-intercept form		
NAT:	CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b	STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-3 Problem 2 Writing an Equation in Slope-Intercept Form	
KEY:	linear equation | slope-intercept form | y-intercept

	9.	ANS:	
y = 2.9x + 9.7

PTS:	1	DIF:	L3	REF:	5-3 Slope-Intercept Form
OBJ:	5-3.1 To write linear equations using slope-intercept form		
NAT:	CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b	STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-3 Problem 2 Writing an Equation in Slope-Intercept Form	
KEY:	linear equation | slope-intercept form | y-intercept

	10.	ANS:	

PTS:	1	DIF:	L3	REF:	5-3 Slope-Intercept Form
OBJ:	5-3.2 To graph linear equations in slope-intercept form	
NAT:	CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b	STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-3 Problem 5 Graphing a Linear Function		
KEY:	linear equation | y-intercept | slope-intercept form

	11.	ANS:	
x-intercept is –7; y-intercept is 35

PTS:	1	DIF:	L2	REF:	5-5 Standard Form	
OBJ:	5-5.1 To graph linear equations using intercepts	
NAT:	CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b		STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-5 Problem 1 Finding x- and y-intercepts		
KEY:	x-intercept | standard form of a linear equation

	12.	ANS:	

PTS:	1	DIF:	L3	REF:	5-5 Standard Form	
OBJ:	5-5.1 To graph linear equations using intercepts	
NAT:	CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b		STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-5 Problem 3 Graphing Horizontal and Vertical Lines	KEY:	standard form of a linear equation

	13.	ANS:	

PTS:	1	DIF:	L3	REF:	5-5 Standard Form	
OBJ:	5-5.1 To graph linear equations using intercepts	
NAT:	CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b		STA:	PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3
TOP:	5-5 Problem 3 Graphing Horizontal and Vertical Lines	KEY:	standard form of a linear equation

	14.	ANS:	
1

PTS:	1	DIF:	L2	REF:	7-1 Zero and Negative Exponents
OBJ:	7-1.1 To simplify expressions involving zero and negative exponents
NAT:	CC N.RN.1| CC N.RN.2| N.1.d| N.3.a| A.3.c| A.3.h	STA:	PA M11.A.2.2.1| PA M11.A.2.2.2
TOP:	7-1 Problem 1 Simplifying Powers

	15.	ANS:	

PTS:	1	DIF:	L2	REF:	7-1 Zero and Negative Exponents
OBJ:	7-1.1 To simplify expressions involving zero and negative exponents
NAT:	CC N.RN.1| CC N.RN.2| N.1.d| N.3.a| A.3.c| A.3.h	STA:	PA M11.A.2.2.1| PA M11.A.2.2.2
TOP:	7-1 Problem 2 Simplifying Exponential Expressions

	16.	ANS:	

PTS:	1	DIF:	L3	REF:	7-1 Zero and Negative Exponents
OBJ:	7-1.1 To simplify expressions involving zero and negative exponents
NAT:	CC N.RN.1| CC N.RN.2| N.1.d| N.3.a| A.3.c| A.3.h	STA:	PA M11.A.2.2.1| PA M11.A.2.2.2
TOP:	7-1 Problem 2 Simplifying Exponential Expressions

	17.	ANS:	

PTS:	1	DIF:	L2	REF:	7-2 Multiplying Powers With the Same Base
OBJ:	7-2.1 To multiply powers with the same base	
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	TOP:	7-2 Problem 1 Multiplying Powers

	18.	ANS:	

PTS:	1	DIF:	L3	REF:	7-2 Multiplying Powers With the Same Base
OBJ:	7-2.1 To multiply powers with the same base	
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	TOP:	7-2 Problem 1 Multiplying Powers

	19.	ANS:	

PTS:	1	DIF:	L2	REF:	7-2 Multiplying Powers With the Same Base
OBJ:	7-2.1 To multiply powers with the same base	
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-2 Problem 2 Multiplying Powers in Algebraic Expressions	

	20.	ANS:	

PTS:	1	DIF:	L2	REF:	7-2 Multiplying Powers With the Same Base
OBJ:	7-2.1 To multiply powers with the same base	
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-2 Problem 3 Multiplying With Scientific Notation

	21.	ANS:	

PTS:	1	DIF:	L2	REF:	7-3 More Multiplication Properties of Exponents
OBJ:	7-3.1 To raise a power to a power	NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-3 Problem 1 Simplifying a Power Raised to a Power

	22.	ANS:	

PTS:	1	DIF:	L3	REF:	7-3 More Multiplication Properties of Exponents
OBJ:	7-3.2 To raise a product to a power			
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-3 Problem 3 Simplifying a Product Raised to a Power

	23.	ANS:	

PTS:	1	DIF:	L2	REF:	7-4 Division Properties of Exponents
OBJ:	7-4.1 To divide powers with the same base		
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-4 Problem 1 Dividing Algebraic Expressions

	24.	ANS:	

PTS:	1	DIF:	L2	REF:	7-4 Division Properties of Exponents
OBJ:	7-4.2 To raise a quotient to a power			
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-4 Problem 3 Raising a Quotient to a Power

	25.	ANS:	

PTS:	1	DIF:	L3	REF:	7-4 Division Properties of Exponents
OBJ:	7-4.2 To raise a quotient to a power			
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-4 Problem 3 Raising a Quotient to a Power

	26.	ANS:	

PTS:	1	DIF:	L3	REF:	7-4 Division Properties of Exponents
OBJ:	7-4.2 To raise a quotient to a power			
NAT:	CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h		
STA:	PA M11.A.1.1.2| PA M11.A.2.2.1| PA M11.A.2.2.2	
TOP:	7-4 Problem 3 Raising a Quotient to a Power