Final Exam Review
____ 1.
The table shows how the height of a stack of DVDs depends on the number of
DVDs. What is a rule for the height?
Number of DVDs
Height (cm)
18
27
36
?
2
3
4
n
a.
b.
____
h = 9n
h = 8n
2.
(ab)c = a(cb).
a.
b.
____
a.
3.
h = 2n
h=
Is the statement true or false?
true
false
Which number line model can you use to simplify –6 + 4?
–6 + 4 = –2
b.
–6 + 4 = –10
c.
–6 + 4 = 10
d.
____
a.
c.
d.
–6 + 4 = 10
4.
Which number line model can you use to simplify –6 + (–5)?
–6 + (–5) = –11
b.
–6 + (–5) = –1
c.
–6 + (–5) = 1
d.
–6 + (–5) = 1
____
a.
b.
5.
____
a.
6.
What is the value of when x = and y = ?
c.
d.
–
Is x = 1 a solution of the equation 2 – 8x = –6?
yes
b.
no
____ 7.
A boat builder wants to make a model of a schooner, a type of sailboat with at
least two masts. The schooner is 34 meters in length and has a beam of 8 meters (the measure of
the widest point of a ship). If the builder wants her model to be 1.2 meters in length, what would
be the length of the beam of the model?
a.
5.10 meters
c.
0.70 meters
b.
3.54 meters
d.
0.28 meters
____
a.
b.
8.
Which ordered pair is a solution of the equation ?
(10, –86)
c.
(–4, –58)
d.
____ 9.
equation ?
(6, –41)
(–6, 57)
The graph of is shown below. Which ordered pair is NOT a solution of the
a.
b.
c.
d.
What is the solution of the equation?
____
a.
b.
10.
____
a.
b.
11.
____
a.
12.
c.
d.
35
12
–35
Which equation is an identity?
c.
d.
Which equation has no solution?
c.
b.
d.
What is the solution of each equation?
____
a.
b.
13.
infinitely many
solutions
c.
d.
no solution
What inequality represents the verbal expression?
____
a.
b.
14.
8 less than a number n is less than 11
11 – 8 < n
c.
n – 8 < 11
d.
8 – n < 11
11 < 8 – n
Which number is a solution of the inequality?
____
a.
15.
____
a.
16.
10.6 < b
–18
b.
–9
c.
7
d.
14
8
18
c.
2
d.
1
b.
What are the solutions of the inequality?
____
a.
b.
17.
c.
d.
all real numbers
no solution
____ 18.
Suppose U = {–10, –6, –2, 0, 3, 5} is the universal set and T is the set {–10, –6,
0}. What is the complement of set T?
a.
{–2, 3, 5}
c.
{–6, –2, 0, 3, 5}
b.
{–10, –6, 0}
d.
{0, 3, 5}
____
19.
a.
b.
____
How do you write and in interval notation?
[–6, –3]
(–6, –3)
c.
d.
20.
What is the graph of or ?
21.
How do you write or as an inequality?
[–6, –3)
(–6, –3]
a.
b.
c.
d.
____
a.
b.
or
or
c.
d.
and
and
____ 22.
A new comedian is building a fan base. The table shows the number of people
who attended his shows in the first, second, third and fourth month of his career. Which graph
could represent the data shown in the table?
Month
1
2
3
4
a.
b.
Total Number of People
119
214
385
693
c.
d.
____ 23.
The table shows the amount of money made by a summer blockbuster in each of
the first four weeks of its theater release. Which graph could represent the data shown in the
table?
Week
1
2
3
4
a.
b.
Money ($)
19,600,000
7,800,000
3,100,000
1,300,000
c.
d.
____ 24.
A hiker climbs up a steep bank and then rests for a minute. He then walks up a
small hill and finally across a flat plateau. What sketch of a graph could represent the elevation of
the hiker?
a.
b.
____
c.
d.
25.
Any of the graphs
could represent the
situation, depending
on the hiker’s speed.
Which of the following represents the above relationship?
a.
The perimeter, P, is equal to the length of a
side of one triangle multiplied by the number
of triangles in the figure, n, plus two times the
length of the base. The equation for the
perimeter is .
The perimeter, P, is equal to the length of the
base of one triangle multiplied by the number
of triangles in the figure, n, plus the length of
another side. The equation for the perimeter
is .
The perimeter, P, is equal to the length of a
side of one triangle multiplied by the number
of triangles in the figure, n, plus the length of
the base. The equation for the perimeter is .
The perimeter, P, is equal to the length of the
base of one triangle multiplied by the number
of triangles in the figure, n, plus two times the
length of another side. The equation for the
perimeter is .
b.
c.
d.
____ 26.
Suppose you know the perimeter of triangles. What would you do to find the
perimeter of triangles?
a.
b.
c.
d.
Add ?? to the perimeter of
Add ?? to the perimeter of
Add 12 to the perimeter of
Add 10 to the perimeter of
triangles
triangles
triangles
triangles
The table shows the relationship between the number of sports teams a person belongs to
and the amount of free time the person has per week.
Number of Sports Teams
0
1
2
3
____
a.
27.
Free Time (hours)
46
39
32
25
Is the above relationship a linear function?
yes
b.
no
The table shows the total number of squares in each figure below. What is a pattern you can
use to complete the table?
____
28.
Which of the following equations represents the pattern above?
a.
b.
c.
d.
____ 29.
The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function.
What is a rule that represents this function?
a.
b.
c.
d.
____ 30.
The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a
function. What is a rule that represents this function?
a.
c.
b.
d.
____ 31.
Write a function rule for the area, A, of a triangle whose base, b, is 2 cm less than
seven times the height, h. What is the area of the triangle when the height is 14 cm?
a.
; 672 cm
c.
; 96 cm
b.
; 48 cm
d.
; 1344 cm
____ 32.
The function represents the number of jumping jacks j(x) you can do in x
minutes. How many jumping jacks can you do in 5 minutes?
a.
195 jumping jacks
c.
144 jumping jacks
b.
7 jumping jacks
d.
234 jumping jacks
____ 33.
The function represents the number of light bulbs b(n) that are needed for n
chandeliers. How many light bulbs are needed for 15 chandeliers?
a.
90 light bulbs
c.
96 light bulbs
b.
2 light bulbs
d.
80 light bulbs
____ 34.
You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function
c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain
and range are reasonable for the function? What is the graph of the function?
a.
The domain is .
The range is .
c.
The domain is .
The range is .
b.
The domain is .
The range is .
d.
The domain is .
The range is .
Tell whether the sequence is arithmetic. If it is, what is the common difference?
____
a.
35.
2, 7, 13, 20, . . .
yes; 5
b.
yes; 6
c.
Match the equation with its graph.
____
a.
b.
36.
–4x – 2y = 8
c.
d.
What type of relationship does the scatter plot show?
yes; 2
d.
no
____
a.
b.
c.
37.
____
a.
b.
c.
38.
positive correlation
negative correlation
no correlation
positive correlation
negative correlation
no correlation
____ 39.
The scatter plot shows the number of mistakes a piano student makes during a
recital versus the amount of time the student practiced for the recital. How many mistakes do you
expect the student to make at the recital after 6 hours of practicing?
a.
b.
55 mistakes
37 mistakes
c.
d.
63 mistakes
45 mistakes
infinitely many
solutions
no solution
How many solutions does the system have?
____
40.
a.
one solution
c.
b.
two solutions
d.
____ 41.
A local citizen wants to fence a rectangular community garden. The length of the
garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a
system of inequalities that models the possible dimensions of the garden. Graph the system to
show all possible solutions.
a.
c.
b.
d.
Simplify the expression.
____
a.
b.
42.
4
c.
d.
256
1024
What is the graph of the function?
____
a.
b.
43.
c.
d.
____ 44.
A biologist studied the populations of white-sided jackrabbits and black-tailed
jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the
following polynomials where x is time, in years.
White-sided jackrabbits:
Black-tailed jackrabbits:
What polynomial models the total number of white-sided and black-tailed jackrabbits?
a.
b.
c.
d.
____ 45.
A sports team is building a new stadium on a rectangular lot of land. If the lot
measures 7x by 7x and the sports field will be 5x by 5x, how much of the lot will be left over to
build bleachers on?
a.
c.
b.
d.
Simplify the product using a table.
____
46.
–5
4
a.
b.
c.
d.
____ 47.
A sphere has a radius of 2x + 5. Which polynomial in standard form best
describes the total surface area of the sphere? Use the formula for the surface area of a sphere.
a.
c.
b.
d.
____
a.
b.
48.
____
a.
b.
49.
What is ?
2515
2475
c.
d.
2535
2465
10099
10063
c.
d.
9901
9919
What is ?
____ 50.
The area of a rectangular garden is given by the trinomial x2 + x – 42. What are
the possible dimensions of the rectangle? Use factoring.
a.
x – 6 and x + 7
c.
x – 6 and x – 7
b.
x + 6 and x – 7
d.
x + 6 and x + 7
____ 51.
A model rocket is launched from a roof into a large field. The path of the rocket
can be modeled by the equation y = 0.04x+ 5.8x + 4.9, where x is the horizontal distance, in
meters, from the starting point on the roof and y is the height, in meters, of the rocket above the
ground. How far horizontally from its starting point will the rocket land?
a.
145.84 m
c.
291.68 m
b.
0.84 m
d.
146.12 m
What method(s) would you choose to solve the equation? Explain your reasoning.
____
a.
b.
c.
d.
52.
Square roots; there is no x-term.
Quadratic formula, graphing; the equation
cannot be factored easily since the numbers
are large.
Factoring; the equation is easily factored.
Quadratic formula, completing the square or
2
a.
b.
Square roots; there is no x-term.
Quadratic formula, graphing; the equation
cannot be factored easily since the numbers
are large.
Factoring; the equation is easily factored.
Quadratic formula, completing the square or
graphing; the coefficient of x2-term is 1, but
c.
d.
the equation cannot be factored.
____ 53.
You want to find how many students use public transportation. You interview
every fifth teenager you see exiting a movie theater.
a.
random
c.
stratified
b.
systematic
d.
none of these
How many real-number solutions does the equation have?
____
a.
b.
54.
____
a.
b.
55.
one solution
two solutions
c.
d.
no solutions
infinitely many
solutions
one solution
two solutions
c.
d.
no solutions
infinitely many
solutions
____ 56.
Graph the set of points. Which model is most appropriate for the set?
(1, 20), (0, 10), (1, 5), (2, 2.5)
a.
c.
quadratic
linear
b.
d.
quadratic
exponential
____ 57.
Since opening night, attendance at Play A has increased steadily, while
attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each
play are shown below, where x is the number of days since opening night. On what day(s) was the
attendance the same at both plays? What was the attendance?
Play A:
Play B:
a.
The attendance was the same on days 4 and
13. The attendance at both plays on those days
was 100 and 181 respectively.
The attendance was the same on day 13. The
attendance was 181 at both plays on that day.
The attendance was never the same at both
plays.
The attendance was the same on day 4. The
attendance was 100 at both plays on that day.
b.
c.
d.
What are the solutions of the system?
____
58.
a.
b.
(1, –1) and (–3, –9)
(1, 3) and (3, –1)
c.
d.
(1, –1) and (3, 3)
no solution
What are the solutions of the system? Use a graphing calculator.
____
59.
a.
(–6.39, 12.15) and (–
0.09, 3.33)
(–6.39, 3.07) and
(0.09, 12.15)
b.
c.
d.
(–6.39, 12.15) and
(0.09, 3.07)
no solution
____ 60.
The number of eagles observed along a certain river per day over a two week
period is listed below. What is a frequency table that represents the data?
1 3 2 5 10 8 9 15 0 7 12 13 6 18
a.
b.
c.
d.
____ 61.
The data below shows the average number of text messages a group of students
send per day. What is a histogram that represents the data?
20 5 8 22 10 1 7 15 16 12 15 6 13 8
a.
c.
b.
d.
____ 62.
The data below show the number of games won by a football team in each of the
last 15 seasons. What is a histogram that represents the data?
3 4 8 12 7 2 1 15 16 6 10 13 4 1 5
a.
c.
b.
d.
Is the histogram uniform, symmetric, or skewed?
____
a.
b.
c.
63.
____
a.
b.
c.
64.
____
a.
b.
65.
symmetric
uniform
skewed
skewed
uniform
symmetric
Find x if the average of 20, 20, 19, 13, and x is 16.
8
c.
9
d.
10
6
____ 66.
The line plots below show exam scores from two different driver’s education
classes. Which class has a greater mean score? Which class has a greater median score?
a.
greater mean = PM
class
greater median = PM
class
c.
greater mean = AM
class
greater median = PM
class
b.
greater mean = PM
class
greater median = AM
class
d.
greater mean = AM
class
greater median = AM
class
____ 67.
The back-to-back stem-and-leaf plot below show exam scores from two different
math classes. Which class has a greater mean score? Which class has a greater median score?
Class A
1
16
577
6678
1
Class B
5
8
9
9
2
1
4
5
6
7
8
9
Key:
a.
greater mean = class
A
greater median =
class A
greater mean = class
B
greater median =
class B
b.
2
4
1
2
0
3
6
566
0489
567
1|9|3 means 91 for Class A and 93 for
Class B
c.
d.
greater mean = class
B
greater median =
class A
greater mean = class
A
greater median =
class B
Is each data set qualitative or quantitative?
____
a.
68.
the numbers of hours spent commuting to work by the employees of a company
qualitative
b.
quantitative
Is each data set univariate or bivariate?
____
a.
69.
the number of hours surfing the web by students at your school
univariate
b.
bivariate
____ 70.
A mathematics journal has accepted 14 articles for publication. However, due to
budgetary restraints only 9 articles can be published this month. How many ways can the journal
editor assemble 9 of the 14 articles for publication?
a.
726,485,760
c.
2,002
b.
14
d.
126
____ 71.
What is the probability of rolling a sum of 5 on at least one of two rolls of a pair
of number cubes?
a.
c.
b.
d.
____ 72.
Your English teacher has decided to randomly assign poems for the class to read.
The syllabus includes 2 poems by Shakespeare, 5 poems by Coleridge, 4 poems by Tennyson, and
3 poems by Lord Byron. What is the probability that you will be assigned a poem by Coleridge
and then a poem by Lord Byron?
a.
c.
b.
d.
Final Exam Review
Answer Section
1.
ANS: A
PTS: 1
DIF: L3
REF: 1-1
Variables and Expressions
OBJ: 1-1.1 To write algebraic expressions
NAT:
CC A.SSE.1.a| A.1.a| A.3.b
TOP: 1-1 Problem 5 Writing a Rule to Describe a Pattern
KEY: algebraic expression
2.
ANS: A
PTS: 1
DIF: L4
REF: 1-4
Properties of Real Numbers
OBJ: 1-4.1 To identify and use properties of real numbers
NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
TOP: 1-4 Problem 4 Using Deductive Reasoning and Counterexamples
KEY: deductive reasoning | counterexample
3.
ANS: A
PTS: 1
DIF: L3
REF: 1-5 Adding and Subtracting Real Numbers
OBJ: 1-5.1 To find sums and differences of real numbers
NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
TOP: 1-5 Problem 1 Using Number Line Models
KEY: opposites | additive
inverses
4.
ANS: A
PTS: 1
DIF: L3
REF: 1-5 Adding and Subtracting Real Numbers
OBJ: 1-5.1 To find sums and differences of real numbers
NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
TOP: 1-5 Problem 1 Using Number Line Models
KEY: additive inverses |
opposites
5.
ANS: A
PTS: 1
DIF: L4
REF: 1-6 Multiplying and Dividing Real Numbers
OBJ: 1-6.1 To find products and quotients of real numbers
NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
TOP: 1-6 Problem 4 Dividing
Fractions
KEY: multiplicative inverse | reciprocal
6.
ANS: A
PTS: 1
DIF: L3
REF: 1-8 An
Introduction to Equations
OBJ: 1-8.1 To solve equations using tables and mental math
NAT: CC A.CED.1| N.2.b| A.
3.b
TOP: 1-8 Problem 2 Identifying Solutions of an Equation
KEY: solution of an equation
7.
ANS: D
PTS: 1
DIF: L3
REF: 1-8 An
Introduction to Equations
OBJ: 1-8.1 To solve equations using tables and mental math
NAT: CC A.CED.1| N.2.b| A.
3.b
TOP: 1-8 Problem 3 Writing an Equation
KEY: equation | solution of an equation
8.
ANS: A
PTS: 1
DIF: L3
REF: 1-9 Patterns, Equations, and Graphs
OBJ: 1-9.1 To use tables, equations, and graphs to describe relationships
NAT: CC A.CED.2| CC A.REI.10| A.1.a
TOP: 1-9 Problem 1 Identifying Solutions of a Two-Variable Equation
KEY: solution of an equation
9.
ANS: D
PTS: 1
DIF: L3
REF: 1-9 Patterns, Equations, and Graphs
OBJ: 1-9.1 To use tables, equations, and graphs to describe relationships
NAT: CC A.CED.2| CC A.REI.10| A.1.a TOP: 1-9 Problem 2 Using a Table, an Equation,
and a Graph
KEY: graphing | equations in two variables
10.
ANS: D
PTS: 1
DIF: L2
REF: 2-1
Solving One-Step Equations
OBJ: 2-1.1 To solve one-step equations in one variable
NAT: CC A.CED.1| CC A.REI.3| A.4.a| A.4.c
TOP: 2-1 Problem 4 Solving an Equation Using Multiplication
KEY: Multiplication Property of Equality | equivalent equations | isolate | inverse operations
11.
ANS: B
PTS: 1
DIF: L3
REF: 2-4 Solving Equations With Variables on Both Sides
OBJ: 2-4.2 To identify equations that are identities or have no solution
NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c
TOP: 2-4 Problem 4 Identities and Equations With No Solution
KEY: identity | no solution
12.
ANS: D
PTS: 1
DIF: L3
REF: 2-4 Solving Equations With Variables on Both Sides
OBJ: 2-4.2 To identify equations that are identities or have no solution
NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c
TOP: 2-4 Problem 4 Identities and Equations With No Solution
KEY: identity | no solution
13.
ANS: C
PTS: 1
DIF: L3
REF: 2-4 Solving Equations With Variables on Both Sides
OBJ: 2-4.2 To identify equations that are identities or have no solution
NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c
TOP: 2-4 Problem 4 Identities and Equations With No Solution
KEY: identity | no solution
14.
ANS: B
PTS: 1
DIF: L3
REF: 3-1
Inequalities and Their Graphs
OBJ: 3-1.1 To write, graph, and identify solutions of inequalities
NAT: CC A.REI.3 TOP: 3-1 Problem 1 Writing Inequalities
KEY: solution of an inequality
15.
ANS: D
PTS: 1
DIF: L3
REF: 3-1
Inequalities and Their Graphs
OBJ: 3-1.1 To write, graph, and identify solutions of inequalities
NAT: CC A.REI.3 TOP: 3-1 Problem 2 Identifying Solutions by Evaluating
KEY: solution of an inequality
16.
ANS: D
PTS: 1
DIF: L3
REF: 3-1
Inequalities and Their Graphs
OBJ: 3-1.1 To write, graph, and identify solutions of inequalities
NAT: CC A.REI.3 TOP: 3-1 Problem 2 Identifying Solutions by Evaluating
KEY: solution of an inequality
17.
ANS: D
PTS: 1
DIF: L3
REF: 3-4
Solving Multi-Step Inequalities
OBJ: 3-4.1 To solve multi-step inequalities
NAT:
CC A.CED.1| CC A.REI.3
TOP: 3-4 Problem 5 Inequalities With Special Solutions
18.
ANS: A
PTS: 1
DIF: L2
REF: 3-5
Working With Sets
OBJ: 3-5.2 To find the complement of a set
NAT: CC A.REI.3
TOP: 3-5 Problem 4 Finding the Complement of a Set
KEY: complement of a set |
universal set
19.
ANS: C
PTS: 1
DIF: L3
REF: 3-6
Compound Inequalities
OBJ: 3-6.1 To solve and graph inequalities containing the word and
NAT: CC A.CED.1| CC A.REI.3
TOP: 3-6 Problem 5 Using Interval Notation
KEY: compound inequality | interval notation
20.
ANS: C
PTS: 1
DIF: L3
REF: 3-6
Compound Inequalities
OBJ: 3-6.2 To solve and graph inequalities containing the word or
NAT: CC A.CED.1| CC A.REI.3
TOP: 3-6 Problem 5 Using Interval Notation
KEY: compound inequality | interval notation
21.
ANS: A
PTS: 1
DIF: L3
REF: 3-6
Compound Inequalities
OBJ: 3-6.2 To solve and graph inequalities containing the word or
NAT: CC A.CED.1| CC A.REI.3
TOP: 3-6 Problem 5 Using Interval Notation
KEY: compound inequality | interval notation
22.
ANS: C
PTS: 1
DIF: L3
REF: 4-1 Using Graphs to Relate Two Quantities
OBJ: 4-1.1 To represent mathematical relationships using graphs
NAT: CC F.IF.4
TOP: 4-1 Problem 2 Matching a Table and a Graph
KEY: sketching a graph | modeling a relationship
23.
ANS: C
PTS: 1
DIF: L3
REF: 4-1 Using Graphs to Relate Two Quantities
OBJ: 4-1.1 To represent mathematical relationships using graphs
NAT: CC F.IF.4
TOP: 4-1 Problem 2 Matching a Table and a Graph
KEY: sketching a graph | modeling a relationship
24.
ANS: A
PTS: 1
DIF: L3
REF: 4-1 Using Graphs to Relate Two Quantities
OBJ: 4-1.1 To represent mathematical relationships using graphs
NAT: CC F.IF.4
TOP: 4-1 Problem 3 Sketching a Graph
KEY: sketching a graph | modeling a relationship
25.
ANS: D
PTS: 1
DIF: L3
REF: 4-2
Patterns and Linear Functions
OBJ: 4-2.1 To identify and represent patterns that describe linear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.b| A.1.e| A.1.h
TOP: 4-2 Problem 1 Representing a Geometric Relationship
KEY: dependent variable | independent variable | function | linear function
26.
ANS: A
PTS: 1
DIF: L3
REF: 4-2
Patterns and Linear Functions
OBJ: 4-2.1 To identify and represent patterns that describe linear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.b| A.1.e| A.1.h
TOP: 4-2 Problem 1 Representing a Geometric Relationship
KEY: dependent variable | independent variable | function | linear function
27.
ANS: A
PTS: 1
DIF: L3
REF: 4-2
Patterns and Linear Functions
OBJ: 4-2.1 To identify and represent patterns that describe linear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.b| A.1.e| A.1.h
TOP: 4-2 Problem 2 Representing a Linear Function
KEY: dependent variable | independent variable | function | linear function | create equations in
two variables
28.
ANS: D
PTS: 1
DIF: L3
REF: 4-3 Patterns and Nonlinear Functions
OBJ: 4-3.1 To identify and represent patterns that describe nonlinear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.e
TOP: 4-3 Problem 2 Representing Patterns and Nonlinear Functions
KEY: nonlinear function
29.
ANS: A
PTS: 1
DIF: L3
REF: 4-3 Patterns and Nonlinear Functions
OBJ: 4-3.1 To identify and represent patterns that describe nonlinear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.e
TOP: 4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function
KEY: nonlinear function
30.
ANS: D
PTS: 1
DIF: L4
REF: 4-3 Patterns and Nonlinear Functions
OBJ: 4-3.1 To identify and represent patterns that describe nonlinear functions
NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.e
TOP: 4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function
KEY: nonlinear function
31.
ANS: A
PTS: 1
DIF: L3
REF: 4-5
Writing a Function Rule
OBJ: 4-5.1 To write equations that represent functions
NAT: CC N.Q.2| CC A.SSE.1.a| CC A.CED.2| A.1.b
TOP: 4-5 Problem 3 Writing a Nonlinear Function Rule
KEY: create equations in two
variables
32.
ANS: A
PTS: 1
DIF: L2
REF: 4-6 Formalizing Relations and Functions
OBJ: 4-6.2 To find domain and range and use function notation
NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.f
TOP: 4-6 Problem 3 Evaluating a Function
KEY:
function notation
33.
ANS: A
PTS: 1
DIF: L2
REF: 4-6 Formalizing Relations and Functions
OBJ: 4-6.2 To find domain and range and use function notation
NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.f
TOP: 4-6 Problem 3 Evaluating a Function
KEY:
function notation
34.
ANS: B
PTS: 1
DIF: L3
REF: 4-6 Formalizing Relations and Functions
OBJ: 4-6.2 To find domain and range and use function notation
NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.f
TOP: 4-6 Problem 5 Identifying a Reasonable Domain and Range
KEY: domain | range | function notation | choosing the correct scale
35.
ANS: D
PTS: 1
DIF: L3
REF: 4-7
Sequences and Functions
OBJ: 4-7.1 To identify and extend patterns in sequences
NAT: CC A.SSE.1.a| CC A.SSE.1.b| CC F.LE.2| CC F.IF.3| CC F.BF.1.a| CC F.BF.2| CC F.IF.6|
CC F.LE.1.b| A.1.b TOP: 4-7 Problem 2 Identifying an Arithmetic Sequence
KEY: sequence | arithmetic sequence | common difference
36.
ANS: B
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
TOP:
5-5 Problem 2 Graphing a Line
Using Intercepts
KEY: standard form of a linear equation
37.
ANS: A
PTS: 1
DIF: L3
REF: 5-7
Scatter Plots and Trend Lines
OBJ: 5-7.1 To write an equation of a trend line and of a line of best fit
NAT: CC N.Q.1| CC F.LE.5| CC S.ID.6.a| CC S.ID.6.c| CC S.ID.7| CC S.ID.8| CC S.ID.9| D.1.c|
D.2.e| D.5.d| A.2.a| A.2.b
TOP:
5-7 Problem 1 Making a Scatter Plot and Describing
Its Correlation
KEY: scatter plot | positive correlation | negative correlation
38.
ANS: C
PTS: 1
DIF: L3
REF: 5-7
Scatter Plots and Trend Lines
OBJ: 5-7.1 To write an equation of a trend line and of a line of best fit
NAT: CC N.Q.1| CC F.LE.5| CC S.ID.6.a| CC S.ID.6.c| CC S.ID.7| CC S.ID.8| CC S.ID.9| D.1.c|
D.2.e| D.5.d| A.2.a| A.2.b
TOP:
5-7 Problem 1 Making a Scatter Plot and Describing
Its Correlation
KEY: scatter plot | positive correlation | negative correlation
39.
ANS: A
PTS: 1
DIF: L3
REF: 5-7
Scatter Plots and Trend Lines
OBJ: 5-7.2 To use a trend line and a line of best fit to make predictions
NAT: CC N.Q.1| CC F.LE.5| CC S.ID.6| CC S.ID.6.a| CC S.ID.6.c| CC S.ID.7| CC S.ID.8| CC
S.ID.9| D.1.c| D.2.e| D.5.d| A.2.a| A.2.b
TOP:
5-7 Problem 2 Writing an
Equation of a Trend Line
KEY: scatter plot | trend line
40.
ANS: D
PTS: 1
DIF: L3
REF: 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.d
TOP: 6-3 Problem 5 Finding the Number of
Solutions
KEY: elimination method | exact solution of a system of linear equations
41.
ANS: A
PTS: 1
DIF: L3
REF: 6-6
Systems of Linear Inequalities
OBJ: 6-6.2 To model real-world situations using systems of linear inequalities
NAT: CC A.REI.12| A.4.d
TOP: 6-6 Problem 3 Using a System of Inequalities
KEY: system of linear inequalities | solution of a system of linear inequalities
42.
ANS: A
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
TOP: 7-2 Problem 6 Simplifying Expressions With Rational Exponents
KEY: rational exponents
43.
ANS: D
PTS: 1
DIF: L4
REF: 7-6
Exponential Functions
OBJ: 7-6.1 To evaluate and graph exponential functions
NAT: CC A.CED.2| CC A.REI.11| CC F.IF.4| CC F.IF.5| CC F.IF.7.e| CC F.IF.9| CC F.LE.2| A.
1.b| A.1.e| A.1.h| A.2.h| A.3.h TOP:
7-6 Problem 3 Graphing an Exponential Function
KEY: exponential function
44.
ANS: C
PTS: 1
DIF: L4
REF: 8-1 Adding and Subtracting Polynomials
OBJ: 8-1.1 To classify, add, and subtract polynomials
NAT: CC A.APR.1| A.3.c| A.
3.e
TOP: 8-1 Problem 4 Adding Polynomials
KEY: polynomial | trinomial | standard form of a polynomial
45.
ANS: B
PTS: 1
DIF: L3
REF: 8-2
Multiplying and Factoring
OBJ: 8-2.2 To factor a monomial from a polynomial
NAT: CC A.APR.1| N.5.c| A.
3.c| A.3.e
TOP: 8-2 Problem 4 Factoring a Polynomial Model
46.
ANS: A
PTS: 1
DIF: L3
REF: 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.e
TOP: 8-3 Problem 2 Using a Table
KEY: multiplying binomials
47.
ANS: A
PTS: 1
DIF: L3
REF: 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.e
TOP: 8-3 Problem 4 Applying Multiplication of
Binomials
KEY: multiplying binomials
48.
ANS: B
PTS: 1
DIF: L3
REF: 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 5 Using Mental Math
49.
ANS: D
PTS: 1
DIF: L3
REF: 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 5 Using Mental Math
50.
ANS: A
PTS: 1
DIF: L3
REF: 8-5
Factoring x^2 + bx + c
OBJ: 8-5.1 To factor trinomials of the form x^2 + bx + c
NAT: CC A.SSE.1.a| N.5.c
TOP: 8-5 Problem 4 Applying Factoring Trinomials
51.
ANS: A
PTS: 1
DIF: L3
REF: 9-6 The Quadratic Formula and the Discriminant
OBJ: 9-6.1 To solve quadratic equations using the quadratic formula
NAT: CC N.Q.3| CC A.CED.1| CC A.REI.4.a| CC A.REI.4.b| A.4.a
TOP: 9-6 Problem 2 Finding Approximate Solutions
KEY: quadratic formula
52.
ANS: D
PTS: 1
DIF: L2
REF: 9-6 The Quadratic Formula and the Discriminant
OBJ: 9-6.1 To solve quadratic equations using the quadratic formula
NAT: CC N.Q.3| CC A.CED.1| CC A.REI.4.a| CC A.REI.4.b| A.4.a
TOP: 9-6 Problem 3 Choosing an Appropriate Method
KEY: quadratic formula
53.
ANS: B
PTS: 1
DIF: L3
REF: 12-5
Samples and Surveys
OBJ: 12-5.1 To classify data and analyze samples and surveys
NAT: CC S.IC.3| D.1.a| D.1.c| D.3.a| D.3.b| D.3.d
TOP: 12-5 Problem 3 Choosing a Sample
KEY: population | sample
54.
ANS: B
PTS: 1
DIF: L2
REF: 9-6 The Quadratic Formula and the Discriminant
OBJ: 9-6.2 To find the number of solutions of a quadratic equation
NAT: CC N.Q.3| CC A.CED.1| CC A.REI.4.a| CC A.REI.4.b| A.4.a
TOP: 9-6 Problem 4 Using the Discriminant
KEY: discriminant
55.
ANS: C
PTS: 1
DIF: L2
REF: 9-6 The Quadratic Formula and the Discriminant
OBJ: 9-6.2 To find the number of solutions of a quadratic equation
NAT: CC N.Q.3| CC A.CED.1| CC A.REI.4.a| CC A.REI.4.b| A.4.a
TOP: 9-6 Problem 4 Using the Discriminant
KEY: discriminant
56.
ANS: D
PTS: 1
DIF: L2
REF: 9-7 Linear, Quadratic, and Exponential Models
OBJ: 9-7.1 To choose a linear, quadratic, or exponential model for data
NAT: CC F.IF.4| CC F.BF.1.b| CC F.LE.1.a| CC F.LE.2| CC F.LE.3| CC S.ID.6.a| A.2.f
TOP: 9-7 Problem 1 Choosing a Model by Graphing
KEY: choosing viable
modeling options
57.
ANS: A
PTS: 1
DIF: L4
REF: 9-8 Systems of Linear and Quadratic Equations
OBJ: 9-8.1 To solve systems of linear and quadratic equations
NAT: CC A.CED.3| CC A.REI.7| CC A.REI.11| A.4.c| A.4.d
TOP: 9-8 Problem 2 Using
Elimination
58.
ANS: D
PTS: 1
DIF: L3
REF: 9-8 Systems of Linear and Quadratic Equations
OBJ: 9-8.1 To solve systems of linear and quadratic equations
NAT: CC A.CED.3| CC A.REI.7| CC A.REI.11| A.4.c| A.4.d
TOP: 9-8 Problem 3 Using
Substitution
59.
ANS: C
PTS: 1
DIF: L3
REF: 9-8 Systems of Linear and Quadratic Equations
OBJ: 9-8.1 To solve systems of linear and quadratic equations
NAT: CC A.CED.3| CC A.REI.7| CC A.REI.11| A.4.c| A.4.d
TOP: 9-8 Problem 4 Solving With a Graphing Calculator
KEY: find approximate solutions using graphing technology
60.
ANS: B
PTS: 1
DIF: L3
REF: 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 Table KEY:
frequency | frequency table
61.
ANS: A
PTS: 1
DIF: L3
REF: 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 2 Making a Histogram
KEY: histogram | frequency | frequency table
62.
ANS: A
PTS: 1
DIF: L3
REF: 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 2 Making a Histogram
KEY: histogram | frequency | frequency table
63.
ANS: C
PTS: 1
DIF: L3
REF: 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 Histogram
KEY: histogram
64.
ANS: C
PTS: 1
DIF: L3
REF: 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 Histogram
KEY: histogram
65.
ANS: A
PTS: 1
DIF: L3
REF: 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 Value
KEY: mean | measure of central tendency
66.
ANS: D
PTS: 1
DIF: L3
REF: 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 5 Comparing Measures of Central Tendency
KEY: mean | median | mode | range | line plot
67.
ANS: B
PTS: 1
DIF: L4
REF: 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 5 Comparing Measures of Central Tendency
KEY: mean | median | mode | range | back-to-back stem-and-leaf plot
68.
ANS: B
PTS: 1
DIF: L3
REF: 12-5
Samples and Surveys
OBJ: 12-5.1 To classify data and analyze samples and surveys
NAT: CC S.IC.3| D.1.a| D.1.c| D.3.a| D.3.b| D.3.d
TOP: 12-5 Problem 1
Classifying Data
KEY: quantitative | qualitative
69.
ANS: A
PTS: 1
DIF: L3
REF: 12-5
Samples and Surveys
OBJ: 12-5.1 To classify data and analyze samples and surveys
NAT: CC S.IC.3| D.1.a| D.1.c| D.3.a| D.3.b| D.3.d
TOP: 12-5 Problem 2 Identifying Types of Data KEY:
univariate | bivariate
70.
ANS: A
PTS: 1
DIF: L3
REF: 12-6 Permutations and Combinations
OBJ: 12-6.1 To find permutations and combinations
NAT: CC S.CP.9| D.4.e| D.4.j
TOP: 12-6 Problem 3 Using Permutation NotationKEY:
permutation | n factorial
71.
ANS: D
PTS: 1
DIF: L4
REF: 12-8 Probability of Compound Events
OBJ: 12-8.1 To find probabilities of mutually exclusive and overlapping events
NAT: CC S.CP.7| CC S.CP.8| D.4.a| D.4.c| D.4.h| D.4.j
TOP: 12-8 Problem 2 Finding the Probability of Independent Events
KEY: independent events
72.
ANS: C
PTS: 1
DIF: L3
REF: 12-8 Probability of Compound Events
OBJ: 12-8.2 To find probabilities of independent and dependent events
NAT: CC S.CP.7| CC S.CP.8| D.4.a| D.4.c| D.4.h| D.4.j
TOP: 12-8 Problem 5 Finding the Probability of a Compound Event
KEY: compound events