Algebra 1 College Prep- Final Exam REVIEW 2013-14
3.Tom has a collection of 30 CDs and Nita has a collection of 15 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 4 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.
What is the solution of the system? Use a graph.
4.y = –2x + 3
y = –2x + 2
5.y = 2x – 3
y + 3 = 2x
What system of inequalities is represented by the graph?
8.
What is the simplified form of each expression?
9.
10.
11.Suppose that the amount of algae in a pond doubles every 5 hours. If the pond initially contains 20 pounds of algae, how much algae will be in the pond after 15 hours?
What is each expression written using each base only once?
12.
13.
What is the simplified form of each expression?
14.
15.
16.
17.
18.
19.
20.
21.
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
22.3g – g3 + 10g2 – 9
Simplify the sum.
23.(2u3 + 7u2 + 4) + (8u3 – 5u + 6)
Simplify the difference.
24.(5w2 – 8w – 5) – (8w2 + 5w – 3)
Find the GCF of the terms of the polynomial.
25.46x2 + 28x4– 18x3
Factor the polynomial.
26.42w11 + 30w6
Simplify the product using the distributive property.
27.
What is a simpler form of the expression?
28.(2k + 3)(2k2 – 4k – 4)
29.The area of a rectangular garden is given by the trinomial x2 + 6x – 27. What are the possible dimensions of the rectangle? Use factoring.
30.The area of a rectangular barnyard is given by the trinomial 3x2 + 2x – 40. What are the possible dimensions of the barnyard? Use factoring.
Factor the following polynomials completely.
31.
32.
What are the coordinates of the vertex of the graph or table? Is it a maximum or minimum?
33.
34.
35.
X / Y0 / 1
–1 / –2
–2 / –3
–3 / –2
–4 / 1
38.If an object is dropped from a height of 400 feet, the function gives the height of the object after t seconds. When will the object hit the ground?
Graph the function. Identify the vertex and axis of symmetry.
39.
40.
41.A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function . How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
Solve the equation using the Zero-Product Property.
42.
43.
What are the solutions of the equation?
44.
45.
46.
What is a simpler form of each product? Use FOIL.
53.
What is a simpler form of the following expressions? Use FOIL.
54.(6m2 – 2)(6m2 + 2)
55.Mike and Kim invest $18,000 in equipment to print yearbooks for schools. Each yearbook costs $5 to print and sells for $15. How many yearbooks must they sell before their business breaks even?
What is the factored form of the following expressions?
56.d2 + 20d + 100
57.d2 – 14d + 48
58.d2 + 3d – 40
59.6x2 + 13x + 6
60.3g2 + 4g – 4
61.2x2 + 3x – 9
62.84y2 – 152y – 192
63.s2 – 1
What is the solution of the system? Use a graph.
64.y = –x + 1
y = –2x – 2
65.The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $3.40. Today they made $200.60 from the 95 wraps sold. How many of the wraps sold were vegetarian?
Algebra 1 College Prep- Final Exam REVIEW 2013-14
Answer Section
1.ANS:
no solution
PTS:1DIF:L3REF:3-7 Absolute Value Equations and Inequalities
OBJ:3-7.1 To solve equations and inequalities involving absolute value
NAT:CC A.SSE.1.b| CC A.CED.1TOP:3-7 Problem 1 Solving an Absolute Value Equation
KEY:absolute value
2.ANS:
n = 2 or n = –2
PTS:1DIF:L3REF:3-7 Absolute Value Equations and Inequalities
OBJ:3-7.1 To solve equations and inequalities involving absolute value
NAT:CC A.SSE.1.b| CC A.CED.1TOP:3-7 Problem 1 Solving an Absolute Value Equation
KEY:absolute value
3.ANS:
5 months
PTS:1DIF:L3REF:6-1 Solving Systems By Graphing
OBJ:6-1.1 To solve systems of equations by graphingNAT:CC A.REI.6| A.4.d
TOP:6-1 Problem 2 Writing a System of Equations
KEY:consistent | independent | solution of a system of linear equations | system of linear equations
4.ANS:
no solutions
PTS:1DIF:L3REF:6-1 Solving Systems By Graphing
OBJ:6-1.2 To analyze special systemsNAT:CC A.REI.6| A.4.d
TOP:6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution
KEY:system of linear equations | solution of a system of linear equations | inconsistent
5.ANS:
infinitely many solutions
PTS:1DIF:L3REF:6-1 Solving Systems By Graphing
OBJ:6-1.2 To analyze special systemsNAT:CC A.REI.6| A.4.d
TOP:6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution
KEY:system of linear equations | solution of a system of linear equations | consistent | dependent
6.ANS:
(–1, –2)
PTS:1DIF:L2REF:6-2 Solving Systems Using Substitution
OBJ:6-2.1 To solve systems of equations using substitutionNAT:CC A.REI.6| A.4.d
TOP:6-2 Problem 1 Using Substitution
KEY:substitution method | exact solution of a system of linear equations
7.ANS:
(–1, –6)
PTS:1DIF:L3REF:6-2 Solving Systems Using Substitution
OBJ:6-2.1 To solve systems of equations using substitutionNAT:CC A.REI.6| A.4.d
TOP:6-2 Problem 2 Solving for a Variable and Using Substitution
KEY:substitution method | exact solution of a system of linear equations
8.ANS:
PTS:1DIF:L3REF:6-6 Systems of Linear Inequalities
OBJ:6-6.1 To solve systems of linear inequalities by graphingNAT:CC A.REI.12| A.4.d
TOP:6-6 Problem 2 Writing a System of Inequalities From a Graph
KEY:system of linear inequalities
9.ANS:
PTS:1DIF:L2REF: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
TOP:7-1 Problem 2 Simplifying Exponential Expressions
10.ANS:
PTS:1DIF:L3REF: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
TOP:7-1 Problem 2 Simplifying Exponential Expressions
11.ANS:
160 pounds
PTS:1DIF:L3REF: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
TOP:7-1 Problem 4 Using an Exponential Expression
12.ANS:
PTS:1DIF:L2REF: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.hTOP:7-2 Problem 1 Multiplying Powers
13.ANS:
1
PTS:1DIF:L3REF: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.hTOP:7-2 Problem 1 Multiplying Powers
14.ANS:
PTS:1DIF:L2REF: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
TOP:7-2 Problem 2 Multiplying Powers in Algebraic Expressions
15.ANS:
PTS:1DIF:L4REF: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
TOP:7-2 Problem 2 Multiplying Powers in Algebraic Expressions
16.ANS:
PTS:1DIF:L2REF:7-3 More Multiplication Properties of Exponents
OBJ:7-3.1 To raise a power to a powerNAT:CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h
TOP:7-3 Problem 1 Simplifying a Power Raised to a Power
17.ANS:
PTS:1DIF:L3REF:7-3 More Multiplication Properties of Exponents
OBJ:7-3.1 To raise a power to a powerNAT:CC N.RN.1| N.1.d| N.1.f| N.3.a| A.3.c| A.3.h
TOP:7-3 Problem 1 Simplifying a Power Raised to a Power
18.ANS:
PTS:1DIF:L3REF: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
TOP:7-3 Problem 3 Simplifying a Product Raised to a Power
19.ANS:
PTS:1DIF:L4REF: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
TOP:7-3 Problem 4 Simplifying an Expression With Products
20.ANS:
PTS:1DIF:L3REF: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
TOP:7-4 Problem 1 Dividing Algebraic Expressions
21.ANS:
PTS:1DIF:L3REF: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
TOP:7-4 Problem 3 Raising a Quotient to a Power
22.ANS:
–g3+ 10g2 + 3g – 9; cubic polynomial
PTS:1DIF:L3REF:8-1 Adding and Subtracting Polynomials
OBJ:8-1.1 To classify, add, and subtract polynomialsNAT:CC A.APR.1| A.3.c| A.3.e
TOP:8-1 Problem 3 Classifying Polynomials
KEY:monomial | degree of a monomial | polynomial | degree of a polynomial | standard form of a polynomial | trinomial
23.ANS:
10u3 + 7u2 – 5u + 10
PTS:1DIF:L3REF:8-1 Adding and Subtracting Polynomials
OBJ:8-1.1 To classify, add, and subtract polynomialsNAT:CC A.APR.1| A.3.c| A.3.e
TOP:8-1 Problem 4 Adding Polynomials
KEY:polynomial | standard form of a polynomial | trinomial
24.ANS:
–3w2 – 13w – 2
PTS:1DIF:L3REF:8-1 Adding and Subtracting Polynomials
OBJ:8-1.1 To classify, add, and subtract polynomialsNAT:CC A.APR.1| A.3.c| A.3.e
TOP:8-1 Problem 5 Subtracting Polynomials
KEY:polynomial | standard form of a polynomial | trinomial
25.ANS:
2x2
PTS:1DIF:L3REF:8-2 Multiplying and Factoring
OBJ:8-2.2 To factor a monomial from a polynomialNAT:CC A.APR.1| N.5.c| A.3.c| A.3.e
TOP:8-2 Problem 2 Finding the Greatest Common Factor
26.ANS:
6w6(7w5 + 5)
PTS:1DIF:L3REF:8-2 Multiplying and Factoring
OBJ:8-2.2 To factor a monomial from a polynomialNAT:CC A.APR.1| N.5.c| A.3.c| A.3.e
TOP:8-2 Problem 3 Factoring Out a Monomial
27.ANS:
PTS:1DIF:L3REF:8-3 Multiplying Binomials
OBJ:8-3.1 To multiply two binomials or a binomial by a trinomial
NAT:CC A.APR.1| A.3.eTOP:8-3 Problem 1 Using the Distributive Property
KEY:multiplying binomials
28.ANS:
4k3 – 2k2 – 20k – 12
PTS:1DIF:L3REF:8-3 Multiplying Binomials
OBJ:8-3.1 To multiply two binomials or a binomial by a trinomial
NAT:CC A.APR.1| A.3.eTOP:8-3 Problem 5 Multiplying a Trinomial and a Binomial
KEY:multiplying binomials
29.ANS:
x + 9and x – 3
PTS:1DIF:L3REF:8-5 Factoring x^2 + bx + c
OBJ:8-5.1 To factor trinomials of the form x^2 + bx + cNAT:CC A.SSE.1.a| N.5.c
TOP:8-5 Problem 4 Applying Factoring Trinomials
30.ANS:
3x – 10and x + 4
PTS:1DIF:L3REF:8-6 Factoring ax^2 + bx + c
OBJ:8-6.1 To factor trinomials of the form ax^2 + bx + cNAT:CC A.SSE.1.a| CC A.SSE.1.b| N.5.c
TOP:8-6 Problem 3 Applying Trinomial Factoring
31.ANS:
PTS:1DIF:L3REF:8-7 Factoring Special Cases
OBJ:8-7.1 To factor perfect-square trinomials and the differences of two squares
NAT:CC A.SSE.1.a| CC A.SSE.1.b| CC A.SSE.2| N.5.c
TOP:8-7 Problem 5 Factoring Out a Common FactorKEY:difference of two squares
32.ANS:
PTS:1DIF:L4REF:8-7 Factoring Special Cases
OBJ:8-7.1 To factor perfect-square trinomials and the differences of two squares
NAT:CC A.SSE.1.a| CC A.SSE.1.b| CC A.SSE.2| N.5.c
TOP:8-7 Problem 5 Factoring Out a Common FactorKEY:perfect-square trinomial
33.ANS:
(0, –1); maximum
PTS:1DIF:L3REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 1 Identifying a Vertex
KEY:quadratic function | parabola | maximum | minimum | vertex
34.ANS:
(1, –1); minimum
PTS:1DIF:L3REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 1 Identifying a Vertex
KEY:quadratic function | parabola | maximum | minimum | vertex
35.ANS:
(–2, –3); minimum
PTS:1DIF:L3REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 1 Identifying a Vertex
KEY:finding key features by hand | quadratic function | parabola | maximum | minimum | vertex
36.ANS:
, ,
PTS:1DIF:L2REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 3 Comparing Widths of ParabolasKEY:quadratic function | parabola
37.ANS:
y = x2, y = x2, y = x2
PTS:1DIF:L3REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 3 Comparing Widths of ParabolasKEY:quadratic function | parabola
38.ANS:
5 s
PTS:1DIF:L3REF:9-1 Quadratic Graphs and Their Properties
OBJ:9-1.1 To graph quadratic functions of the form y = ax^2 and y = ax^2 + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.5| CC F.IF.7.a| CC F.IF.7.b| CC F.BF.3| A.1.e| A.2.a
TOP:9-1 Problem 5 Using the Falling Object ModelKEY:quadratic function | parabola
39.ANS:
axis of symmetry:
vertex: (–2, –3)
PTS:1DIF:L3REF:9-2 Quadratic Functions
OBJ:9-2.1 To graph quadratic functions of the form y = ax^2 + bx + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.3| A.1.e| A.2.a| A.4.a
TOP:9-2 Problem 1 Graphing y = ax^2 + bx + cKEY:vertex | axis of symmetry
40.ANS:
axis of symmetry:
vertex: (0.5, 1.75)
PTS:1DIF:L3REF:9-2 Quadratic Functions
OBJ:9-2.1 To graph quadratic functions of the form y = ax^2 + bx + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.3| A.1.e| A.2.a| A.4.a
TOP:9-2 Problem 1 Graphing y = ax^2 + bx + cKEY:vertex | axis of symmetry
41.ANS:
1.13 s; 30.25 ft
PTS:1DIF:L3REF:9-2 Quadratic Functions
OBJ:9-2.1 To graph quadratic functions of the form y = ax^2 + bx + c
NAT:CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.3| A.1.e| A.2.a| A.4.a
TOP:9-2 Problem 2 Using the Vertical Motion ModelKEY:maximum
42.ANS:
2,
PTS:1DIF:L2REF:9-4 Factoring to Solve Quadratic Equations
OBJ:9-4.1 To solve quadratic equations by factoring
NAT:CC A.SSE.3.a| CC A.CED.1| CC A.REI.4.b| CC F.IF.8.a| N.5.c| A.4.a
TOP:9-4 Problem 1 Using the Zero-Product PropertyKEY:Zero-Product Property
43.ANS:
3,
PTS:1DIF:L3REF:9-4 Factoring to Solve Quadratic Equations
OBJ:9-4.1 To solve quadratic equations by factoring
NAT:CC A.SSE.3.a| CC A.CED.1| CC A.REI.4.b| CC F.IF.8.a| N.5.c| A.4.a
TOP:9-4 Problem 1 Using the Zero-Product PropertyKEY:Zero-Product Property
44.ANS:
–4, –9
PTS:1DIF:L3REF:9-4 Factoring to Solve Quadratic Equations
OBJ:9-4.1 To solve quadratic equations by factoring
NAT:CC A.SSE.3.a| CC A.CED.1| CC A.REI.4.b| CC F.IF.8.a| N.5.c| A.4.a
TOP:9-4 Problem 2 Solving by FactoringKEY:Zero-Product Property
45.ANS:
, 5
PTS:1DIF:L4REF:9-4 Factoring to Solve Quadratic Equations
OBJ:9-4.1 To solve quadratic equations by factoring
NAT:CC A.SSE.3.a| CC A.CED.1| CC A.REI.4.b| CC F.IF.8.a| N.5.c| A.4.a
TOP:9-4 Problem 2 Solving by FactoringKEY:Zero-Product Property
46.ANS:
,
PTS:1DIF:L3REF:9-4 Factoring to Solve Quadratic Equations
OBJ:9-4.1 To solve quadratic equations by factoring
NAT:CC A.SSE.3.a| CC A.CED.1| CC A.REI.4.b| CC F.IF.8.a| N.5.c| A.4.a
TOP:9-4 Problem 3 Writing in Standard FormKEY:Zero-Product Property
47.ANS:
PTS:1DIF:L3REF:12-2 Frequency and Histograms
OBJ:12-2.1 To make and interpret frequency tables and histograms
NAT:CC N.Q.1| CC S.ID.1| D.1.a| D.1.b| D.1.c
TOP:12-2 Problem 1 Making a Frequency TableKEY:frequency | frequency table
48.ANS:
uniform
PTS:1DIF:L3REF:12-2 Frequency and Histograms
OBJ:12-2.1 To make and interpret frequency tables and histograms
NAT:CC N.Q.1| CC S.ID.1| D.1.a| D.1.b| D.1.c
TOP:12-2 Problem 3 Interpreting a HistogramKEY:histogram
49.ANS:
skewed
PTS:1DIF:L3REF:12-2 Frequency and Histograms
OBJ:12-2.1 To make and interpret frequency tables and histograms
NAT:CC N.Q.1| CC S.ID.1| D.1.a| D.1.b| D.1.c
TOP:12-2 Problem 3 Interpreting a HistogramKEY:histogram
50.ANS:
PTS:1DIF:L3REF:12-2 Frequency and Histograms
OBJ:12-2.1 To make and interpret frequency tables and histograms
NAT:CC N.Q.1| CC S.ID.1| D.1.a| D.1.b| D.1.c
TOP:12-2 Problem 4 Making a Cumulative Frequency Table
KEY:frequency | cumulative frequency table
51.ANS:
mean = 81.7, median = 82, mode = 79
PTS:1DIF:L3REF:12-3 Measures of Central Tendency and Dispersion
OBJ:12-3.1 To find mean, median, mode, and range
NAT:CC N.Q.2| CC S.ID.2| CC S.ID.3| D.1.a| D.1.c| D.2.a| D.2.b| D.2.c
TOP:12-3 Problem 1 Finding Measures of Central Tendency
KEY:mean | median | mode | measure of central tendency
52.ANS:
68
PTS:1DIF:L4REF:12-3 Measures of Central Tendency and Dispersion
OBJ:12-3.1 To find mean, median, mode, and range
NAT:CC N.Q.2| CC S.ID.2| CC S.ID.3| D.1.a| D.1.c| D.2.a| D.2.b| D.2.c
TOP:12-3 Problem 2 Finding a Data ValueKEY:mean | measure of central tendency
53.ANS:
PTS:1DIF:L3REF:8-4 Multiplying Special Cases
OBJ:8-4.1 To find the square of a binomial and to find the product of a sum and difference
NAT:CC A.APR.1| A.3.eTOP:8-4 Problem 1 Squaring a Binomial
54.ANS:
36m4 – 4
PTS:1DIF:L4REF:8-4 Multiplying Special Cases
OBJ:8-4.1 To find the square of a binomial and to find the product of a sum and difference
NAT:CC A.APR.1| A.3.e
TOP:8-4 Problem 4 Finding the Product of a Sum and Difference
55.ANS:
1,800 yearbooks
PTS:1DIF:L3REF:6-4 Applications of Linear Systems
OBJ:6-4.1 To choose the best method for solving a system of linear equations
NAT:CC N.Q.2| CC N.Q.3| CC A.CED.3| CC A.REI.6| A.4.d
TOP:6-4 Problem 1 Finding a Break-Even PointKEY:break-even point
56.ANS:
(d + 10)(d + 10)
PTS:1DIF:L3REF:8-5 Factoring x^2 + bx + c
OBJ:8-5.1 To factor trinomials of the form x^2 + bx + cNAT:CC A.SSE.1.a| N.5.c
TOP:8-5 Problem 1 Factoring x^2 + bx + c Where b > 0, c > 0
57.ANS:
(d – 8)(d – 6)
PTS:1DIF:L3REF:8-5 Factoring x^2 + bx + c
OBJ:8-5.1 To factor trinomials of the form x^2 + bx + cNAT:CC A.SSE.1.a| N.5.c
TOP:8-5 Problem 2 Factoring x^2 + bx + c Where b < 0, c > 0
58.ANS:
(d – 5)(d + 8)
PTS:1DIF:L3REF:8-5 Factoring x^2 + bx + c
OBJ:8-5.1 To factor trinomials of the form x^2 + bx + cNAT:CC A.SSE.1.a| N.5.c
TOP:8-5 Problem 3 Factoring x^2 + bx + c Where c < 0
59.ANS:
(2x + 3)(3x + 2)
PTS:1DIF:L3REF:8-6 Factoring ax^2 + bx + c
OBJ:8-6.1 To factor trinomials of the form ax^2 + bx + cNAT:CC A.SSE.1.a| CC A.SSE.1.b| N.5.c
TOP:8-6 Problem 1 Factoring When ac Is Positive
60.ANS:
(3g – 2)(g + 2)
PTS:1DIF:L3REF:8-6 Factoring ax^2 + bx + c
OBJ:8-6.1 To factor trinomials of the form ax^2 + bx + cNAT:CC A.SSE.1.a| CC A.SSE.1.b| N.5.c
TOP:8-6 Problem 2 Factoring When ac Is Negative
61.ANS:
(2x – 3)(x + 3)
PTS:1DIF:L4REF:8-6 Factoring ax^2 + bx + c
OBJ:8-6.1 To factor trinomials of the form ax^2 + bx + cNAT:CC A.SSE.1.a| CC A.SSE.1.b| N.5.c
TOP:8-6 Problem 2 Factoring When ac Is Negative
62.ANS:
4(3y – 8)(7y + 6)
PTS:1DIF:L4REF:8-6 Factoring ax^2 + bx + c
OBJ:8-6.1 To factor trinomials of the form ax^2 + bx + cNAT:CC A.SSE.1.a| CC A.SSE.1.b| N.5.c
TOP:8-6 Problem 4 Factoring Out a Monomial First
63.ANS:
(s – 1)(s + 1)
PTS:1DIF:L2REF:8-7 Factoring Special Cases
OBJ:8-7.1 To factor perfect-square trinomials and the differences of two squares
NAT:CC A.SSE.1.a| CC A.SSE.1.b| CC A.SSE.2| N.5.c
TOP:8-7 Problem 3 Factoring a Difference of Two SquaresKEY:difference of two squares
64.ANS:
PTS:1DIF:L3REF:6-1 Solving Systems By Graphing
OBJ:6-1.1 To solve systems of equations by graphingNAT:CC A.REI.6| A.4.d
TOP:6-1 Problem 1 Solving a System of Equations by Graphing
KEY:consistent | independent | approximate solution of a system of linear equations | system of linear equations
65.ANS:
51 wraps
PTS:1DIF:L4REF:6-3 Solving Systems Using Elimination
OBJ:6-3.1 To solve systems by adding or subtracting to eliminate a variable
NAT:CC A.REI.5| CC A.REI.6| A.4.dTOP:6-3 Problem 2 Solving a System by Subtracting Equations
KEY:elimination method | exact solution of a system of linear equations