10th Grade TAKS - Released Tests - by Objective

1
10th Grade TAKS - Released Tests - by Objective
Objective
1 Functional relationships
2 Properties and attributes of functions
3 Linear functions
4 Linear equations and inequalities
5 Quadratic and other nonlinear functions
6 Geometric relationships and spatial reasoning
7 Two- and three-dimensional representations of geometric relationships and shapes
8 Concepts and uses of measurement and similarity
9 Percents, proportional relationships, probability, and statistics in application problems
10 Mathematical processes and tools used in problem solving
2
Objective 1The student will describe functional
relationships in a variety of ways.
3
A(b)(1) Foundations for functions. The student
understands that a function represents a
dependence of one quantity on another and can be
described in a variety of ways.(A) The student
describes independent and dependent quantities in
functional relationships.
4
If y is a function of x in the equation y x2
9, which statement is true?
F The independent variable x is equal to 9 less
than the square of the dependent variable
y. G The independent variable y is equal to 9
less than the square of the dependent variable
x. H The dependent variable y is equal to 9 less
than the square of the independent variable
x. J The dependent variable x is equal to 9 less
than the square of the independent variable y.
Correct Answer - H
April 2006 10
5
The volume of a rectangular prism is given by the
function V lwh. Which statement is true?
A The volume of the prism depends on the product
of only the length and the width. B The volume
of the prism depends on the product of only the
length and the height. C The volume of the prism
depends on the product of the length, the width,
and the height. D The volume of the prism
depends on the product of only the width and the
height.
Correct Answer - C
April 2004 23
6
A function is described by the equationf(x) x2
5. The replacement set for the independent
variable is 1, 5, 7, 12. Which of the
following is contained in the corresponding set
for the dependent variable?
A 0 B 6 C 7 D 15
Correct Answer - B
Spring 2003 19
7
A(b)(1) Foundations for functions. The student
understands that a function represents a
dependence of one quantity on another and can be
described in a variety of ways.(B) The student
gathers and records data, or uses data sets, to
determine functional (systematic) relationships
between quantities.
8
The table below shows the relationship between p,
the number of cell phones a company produces, and
d, the number of cell phones that are defective.
Which equation can be used to describe this
relationship?
Correct Answer - G
April 2006 14
9
Troy borrowed money from his father so that he
could buy a used car. The table shows the
remaining balance, b, of Troys loan after each
payment. Which function can be used to describe
this relationship?
A b 3910 225p B b 4135 225p C b 2785
225p D b 3685 225p
Correct Answer - B
April 2004 35
10
Which equation best describes the relationship
between x and y in this table?
Correct Answer - D
Spring 2003 45
11
A(b)(1) Foundations for functions. The student
understands that a function represents a
dependence of one quantity on another and can be
described in a variety of ways.(C) The student
describes functional relationships for given
problem situations and writes equations or
inequalities to answer questions arising from the
situations.
12
Ms. Adams bought a refrigerator that cost 1200,
including tax. The cost of electricity to run
this refrigerator is estimated at 78 per year.
Which equation best represents c, the total cost
of the refrigerator including electricity over n
years of operation?
A c 1200(78n) B c 1200(n 78) C c 1200
78n D c 1200 78n
Correct Answer - D
April 2006 5
13
A candy company sells chocolate-covered cherries
in a box. The empty box weighs 4.2 ounces. Each
piece of candy weighs at least 1.8 ounces. Which
inequality best describes the total weight in
ounces, w, of a box of chocolate-covered cherries
in terms of c, the number of candies in the box?
A w 1.8c 4.2 B w 1.8c 4.2 C w 4.2c
1.8 D w 4.2c 1.8
Correct Answer - A
April 2004 49
14
Vicki works as a salesclerk in a clothing store.
She earns 10 per hour plus a commission of 6 of
her total sales. Which equation represents e,
her total earnings when she works h hours and
sells a total of d dollars in merchandise?
A e 10h 0.06d B e 10h 0.6d C e 6h
10d D e 0.06h 10d
Correct Answer - A
Spring 2003 7
15
A(b)(1) Foundations for functions. The student
understands that a function represents a
dependence of one quantity on another and can be
described in a variety of ways.(D) The student
represents relationships among quantities using
concrete models, tables, graphs, diagrams,
verbal descriptions, equations, and inequalities.
16
Which data set is best described by the function
y -2x2 5x?
Correct AnswerH
April 2006 48
17
Which inequality best describes the graph shown
below?
F y -2x G y -x 2 H y -2x 2 J y x 2
Correct Answer - G
April 2004 20
18
Which mapping best represents the function y
2x2 1 when the replacement set for x is -1, 0,
3?
Correct Answer - D
Spring 2003 43
19
A(b)(1) Foundations for functions. The student
understands that a function represents a
dependence of one quantity on another and can be
described in a variety of ways.(E) The student
interprets and makes inferences from functional
relationships.
20
The graph below represents Cheyennes bicycle
trip from her house to a friends house. On
which segment of the graph does it appear that
Cheyenne was riding her bicycle at the slowest
pace?
A r B s C t D u
Correct Answer - A
April 2006 49
21
The graph below represents which of the following
relationships between temperature and time?
A Oven temperature while a cake is
baking B Temperature of water that is heated on
a stove, removed, and then allowed to
cool C Temperature of a container of hot
tea after placing several cubes of ice in
it D Room temperature of a gym after the
air conditioner is turned on
Correct Answer - B
April 2004 51
22
Jake studied the parabola shown below. Which is
an accurate conclusion that Jake could make about
this parabola?
A The vertex is at (-2, 0). B The minimum value
is at (0, -4). C The maximum value is at (2,
0). D The axis of symmetry is the x-axis.
Correct Answer - B
Spring 2003 5
23
Objective 2The student will demonstrate an
understanding of the properties and attributes of
functions.
24
A(b)(2) Foundations for functions. The student
uses the properties and attributes of
functions.(A) The student identifies and
sketches the general forms of linear (y x)
and quadratic (y x2) parent functions.
25

• Which of these are characteristics of the parent
  function of a quadratic equation?
• The parent function of a quadratic equation has
  the vertex at (0, 0).
• The parent function of a quadratic equation opens
  downward.
• The parent function of a quadratic equation has
  the y-axis as its line of symmetry.

F I and II only G I and III only H II and III
only J I, II, and III
Correct Answer - G
April 2006 28
26
A(b)(2) Foundations for functions. The student
uses the properties and attributes of
functions.(B) For a variety of situations, the
student identifies the mathematical domains and
ranges and determines reasonable domain and range
values for given situations.
27
The graph shows the path of a golf ball.What is
the rangeof this function?
F 0 lt y lt 100 G 0 y 100 H 0 x 5 J 0 lt x lt
5
Correct Answer - G
Spring 2003
28
A(b)(2) Foundations for functions. The student
uses the properties and attributes of
functions.(C) The student interprets situations
in terms of given graphs or creates situations
that fit given graphs.
29
A(b)(2) Foundations for functions. The student
uses the properties and attributes of
functions.(D) In solving problems, the student
collects and organizes data, makes and
interprets scatterplots, and models, predicts,
and makes decisions and critical judgments.
30
The coaches of a group of debate teams answered a
survey about hours of debate team practice and
number of team wins. The graph shows the results
of this survey. Based on these results, if a
team practices 4 hours per week next season,
which is the best estimate of the number of
debates the team can expect to win?
CorrectAnswerH
F 1 G 12 H 16 J 20
April 2004 12
31
A(b)(3) Foundations for functions. The student
understands how algebra can be used to express
generalizations and recognizes and uses the power
of symbols to represent situations.(A) The
student uses symbols to represent unknowns and
variables.
32
The area of the shaded portion of the rectangle
shown below is 440 square feet. How can the area
of the unshaded portion of the rectangle be
expressed in terms of x in square feet?
F 440x 30 G (30 x)440 H (30 440)x J 30x -
440
Correct Answer - J
April 2006 36
33
Mrs. Franklin received a 7 raise at her job. If
she was earning x dollars per year before, how
much is she earning now?
F x 7 G x 0.07 H x 0.7x J x 0.07x
Correct Answer - J
April 2004 32
34
Which equation best represents the area, A, of
the rectangle below?
A A 2x 2(x c) B A x2 (x c)2 C A x(x
c) D A 2x(x c)
Correct Answer - C
Spring 2003 53
35
A(b)(3) Foundations for functions. The student
understands how algebra can be used to express
generalizations and recognizes and uses the power
of symbols to represent situations.(B) Given
situations, the student looks for patterns and
represents generalizations algebraically.
36
The squares below show a pattern. Which
expression can be used to determine the number of
squares at stage n?
F 5n 3 G 4n 2 H 2n2 J n2 n
Correct Answer - J
April 2006 38
37
Which expression can be used to find the values
of s(n) in the table below?
F 3n G 5n H n 4 J 3n 2
Correct Answer - J
April 2004 4
38
A(b)(4) Foundations for functions. The student
understands the importance of the skills required
to manipulate symbols in order to solve problems
and uses the necessary algebraic skills required
to simplify algebraic expressions and solve
equations and inequalities in problem
situations.(A) The student finds specific
function values, simplifies polynomial
expressions, transforms and solves equations, and
factors as necessary in problem situations.
39
A rectangle has a length of 2x 1 and a width of
5x 4. Which expression best describes the area
of the rectangle?
F 7x 3 G 14x 6 H 10x2 3x 4 J 10x2 13x
4
Correct Answer - H
April 2006 46
40
In the equation y 2x2 5x 18, which is a
value of x when y 0?
A -18 B 1½ C 2 D 4½
Correct Answer - D
Spring 2003 31
41
After a ball is dropped, the rebound height of
each bounce decreases. The equation y 5(0.8)x
shows the relationship between x, the number of
bounces, and y, the height of the bounce, for a
certain ball. What is the approximate height of
the fifth bounce of this ball to the nearest
tenth of a unit?
A 20.0 units B 4.0 units C 1.6 units D 1.3 units
Correct Answer - C
Spring 2003 37
42
A(b)(4) Foundations for functions. The student
understands the importance of the skills required
to manipulate symbols in order to solve problems
and uses the necessary algebraic skills required
to simplify algebraic expressions and solve
equations and inequalities in problem
situations.(B) The student uses the
commutative, associative, and distributive
properties to simplify algebraic expressions.
43
Simplify the expression 6 3(5x 2) 10x.
F -25x G 5x 6 H 8 25x J 12 25x
Correct Answer - F
April 2006 16
44
Simplify the algebraic expression5(x 3)(x 2)
3(x2 2x 1).
A 2x2 7 B 2x2 27 C 2x2 7x 7 D 2x2 19x
27
Correct Answer - D
April 2004 1
45
Which expression is equivalent to5(x2 4x) (x
1)?
A 5x2 21x 1 B 5x2 5x 1 C 5x2 21x -
1 D 5x2 5x 1
Correct Answer - C
April 2004 25
46
Simplify the expression 3(x 1) 2(3x 7).
F -3x 11 G -3x - 10 H -3x - 8 J -3x 17
Correct Answer - F
Spring 2003 10
47
Objective 3The student will demonstrate an
understanding of linear functions.
48
A(c)(1) Linear functions. The student
understands that linear functions can be
represented in different ways and translates
among their various representations.(A) The
student determines whether or not given
situations can be represented by linear functions.
49
A(c)(1) Linear functions. The student
understands that linear functions can be
represented in different ways and translates
among their various representations.(C) The
student translates among and uses algebraic,
tabular, graphical, or verbal descriptions of
linear functions.
50
Which table best describes points on the line
graphed below?
Correct Answer - C
April 2006 55
51
Which graph best represents the function y
-1.75x 5?
Correct Answer - J
April 2004 52
52
Which linear function best describes the graph
shown below?
Correct Answer - B
Spring 2003 49
53
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(A) The student develops the
concepts of slope as rate of change and
determines slopes from graphs, tables, and
algebraic representations.
54
Which line appears to have a slope of zero?
F Line n G Line k H Line w J Line p
Correct Answer - H
April 2006 40
55
What is the rate of change of the graph below?
F 3.5 G 1.67 H 0.6 J -1.67
Correct Answer - H
April 2004 26
56
What is m, the slope of the line that contains
the points (2, 0), (0, 3), and (4, -3)?
Correct Answer - J
Spring 2003 46
57
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(B) The student interprets the
meaning of slope and intercepts in situations
using data, symbolic representations, or graphs.
58
The graph shows the distance a certain motorbike
can travel at a constant speed with respect to
time. Which of the following best describes the
meaning of the slope of the line representing
this situation?
F The motorbike travels at a speed of about 8
mph. G The motorbike travels at a speed of about
2.5 mph. H The motorbike travels at a speed of
about 5 mph. J The motorbike travels at a speed
of about 10 mph.
Correct Answer - J
April 2006 12
59
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(C) The student investigates,
describes, and predicts the effects of changes in
m and b on the graph of y mx b.
60
What will happen to the slope of line p if the
line is shifted so that the y-intercept increases
and the x-intercept remains the same?
F The slope will change from positive to
negative. G The slope will change from negative
to positive. H The slope will increase. J The
slope will decrease.
Correct Answer - H
April 2004 8
61
Which best describes the effect on the graph of
f(x) 4x 8 if the y-intercept is changed to -3?
F The slope decreases. G The new line passes
through the origin. H The x-intercept
increases. J The y-intercept increases.
Correct Answer - H
Spring 2003 24
62
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(D) The student graphs and writes
equations of lines given characteristics, such as
two points, a point and a slope, or a slope and
y-intercept.
63
Which linear equation represents the line passing
through points R and S?
F y 1.5x 4.5 G y 1.5x 4.5 H y 0.5x
4.5 J y 0.5x 4.5
Correct Answer - F
April 2006 2
64
Which equation describes the line that passes
through the point (4, 7) and is parallel to the
line represented by the equation -3x y 4?
Correct Answer - G
April 2004 44
65
Which of the following describes the line
containing the points (0, 4) and (3, -2)?
Correct Answer - A
Spring 2003 9
66
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(E) The student determines the
intercepts of linear functions from graphs,
tables, and algebraic representations.
67
What is the x-coordinate of the x-intercept of
the function ?y -6x 12?
F 12 G 18 H -9 J 2
Correct Answer - J
April 2006 26
68
Which coordinate points represent the x- and
y-intercepts of the graph shown below?
F (0, -4) and (6, 0) G (-4, 0) and (0, 6) H (6,
0) and (-4, 0) J (0, 6) and (0, -4)
Correct Answer - G
April 2004 6
69
What is the y-intercept of the function f(x)
3(x 2)?
F 3 G 1 H -2 J -6
Correct Answer - J
Spring 2003 26
70
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(F) The student interprets and
predicts the effects of changing slope and
y-intercept in applied situations.
71
A(c)(2) Linear functions. The student
understands the meaning of the slope and
intercepts of linear functions and interprets and
describes the effects of changes in parameters of
linear functions in real-world and mathematical
situations.(G) The student relates direct
variation to linear functions and solves problems
involving proportional change.
72
Objective 4The student will formulate and use
linear equations and inequalities.
73
A(c)(3) Linear functions. The student formulates
equations and inequalities based on linear
functions, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(A) The student analyzes situations
involving linear functions and formulates linear
equations or inequalities to solve problems.
74
A chemist started an experiment with 5 grams of a
chemical. The chemical was used at a rate of
0.01 gram per minute. Which equation best
describes the relationship between c, the amount
of chemical remaining in grams, and t, the time
in minutes?
F c 5.01t G c 4.99t H c 5 0.01t J c
0.01t 5
Correct Answer - H
April 2006 50
75
Rita put some hummingbird feeders in her
backyard. The table shows the number of
hummingbirds that Rita saw compared to the number
of feeders. Which equation best describes the
relationship between h, the number of
hummingbirds, and f, the number of feeders?
Correct Answer - F
April 2004 14
76
A shaded parallelogram is graphed on the
coordinate grid below. Which of the following
functions describes a line that would include an
edge of the shaded parallelogram?
F y -2x 5 G y -2x 2 H y -2x 9 J y
-2x 1
Correct Answer - G
April 2004 18
77
At Northwest Electronics audiotapes cost 5.00
per package, and videotapes cost 10.00 per
package. Which inequality best describes the
number of packages of audiotapes, a, and the
number of videotapes, v, that can be purchased
for 45.00 or less?
F 5a 10v lt 45 G 10a 5v 45 H 5a 10v
45 J 10a 5v lt 45
Correct Answer - H
Spring 2003 4
78
A(c)(3) Linear functions. The student formulates
equations and inequalities based on linear
functions, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(B) The student investigates methods
for solving linear equations and inequalities
using concrete models, graphs, and the
properties of equality, selects a method, and
solves the equations and inequalities.
79
The length of each leg of an isosceles triangle
is 5 centimeters more than twice the length of
the base. If the perimeter of this isosceles
triangle is 95 centimeters, what is the length of
the base?
A 17 cm B 21 cm C 30 cm D 39 cm
Correct Answer - A
April 2006 39
80
What is the value of y if (3, y) is a solution to
the equation 5x 3y 18?
F 3 G 1 H -1 J -11
Correct Answer - H
Spring 2003 34
81
A(c)(3) Linear functions. The student formulates
equations and inequalities based on linear
functions, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(C) For given contexts, the student
interprets and determines the reasonableness of
solutions to linear equations and inequalities.
82
In 2004 a married couple could have calculated
their estimated income tax, t, for that year
using the equation t 0.25c 6525, in which c
represents their combined taxable income. If a
married couple had a combined taxable income
between 60,000 and 64,000, which of the
following is a reasonable amount for their income
tax?
F 6,525 G 8,975 H 13,869 J 15,500
Correct Answer - G
April 2006 20
83
The 1998 enrollment at a community college was
approximately 2500 students. In 2002 the
enrollment had increased to 3250 students. If
the enrollment continues to increase at this
rate, what is a reasonable projection of
enrollment for 2010?
F 4750 G 5750 H 6250 J 9000
Correct Answer - F
April 2004 46
84
A(c)(4) Linear functions. The student formulates
systems of linear equations from problem
situations, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(A) The student analyzes situations
and formulates systems of linear equations to
solve problems.
85
Norma and Lauretta went to a store to buy DVDs on
sale for 5 each, tax included. Norma purchased
two and a half times as many DVDs as Lauretta
purchased. Together they purchased 14 DVDs.
Which system of linear equations can be used to
determine n, the number of DVDs Norma purchased,
and l, the number of DVDs Lauretta purchased?
F n l 14 n ½l G 5n 5l 14 l ½n H n
l 14 n (5/2)l J n l 14 l (5/2)n
Correct Answer - H
April 2006 32
86
Chase and Sara went to the candy store. Chase
bought 5 pieces of fudge and 3 pieces of bubble
gum for a total of 5.70. Sara bought 2 pieces
of fudge and 10 pieces of bubble gum for a total
of 3.60. Which system of equations could be
used to determine the cost of 1 piece of fudge,
f, and 1 piece of bubble gum, g?
F 5f 3g 3.60 2f 10g 5.70 G 5f 2g
5.70 3f 10g 3.60 H f g 22 7f 13g
9.30 J 5f 3g 5.70 2f 10g 3.60
Correct Answer - J
April 2004 54
87
The length of a rectangle is equal to triple the
width. Which system of equations can be used to
find the dimensions of the rectangle if the
perimeter is 85 centimeters?
F l w 3 2(l w) 85 G l 3w 2l 6w
85 H l 3w 2(l w) 85 J l w 3 2l 6w
85
Correct Answer - H
Spring 2003 20
88
A(c)(4) Linear functions. The student formulates
systems of linear equations from problem
situations, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(B) The student solves systems of
linear equations using concrete models, graphs,
tables, and algebraic methods.
89
If the system of linear equations 2x y 1 and
y (-½)x 1 are graphed on the same coordinate
grid, which of the following is the solution to
this system of linear equations?
A (2, 0) B (0, 2) C (0.5, 0) D Not here
Correct Answer - D
April 2006 47
90
What is the x-coordinate of the solution to the
system of linear equations below? 4x 5y 8 2x
3y -18
F -4 G -3 H 3 J 4
Correct Answer - G
April 2004 24
91
Which graph best represents a solution to this
system of equations? 2x 3y 0x 2y -7
Correct Answer - J
Spring 2003 36
92
Marcos had 15 coins in nickels and quarters. He
had 3 more quarters than nickels. He wrote a
system of equations to represent this situation,
letting x represent the number of nickels and y
represent the number of quarters. Then he solved
the system by graphing. What is the solution?
A (6, 9) B (5, 10) C (9, 6) D (10, 5)
Correct Answer - A
Spring 2003 47
93
A(c)(4) Linear functions. The student formulates
systems of linear equations from problem
situations, uses a variety of methods to solve
them, and analyzes the solutions in terms of the
situation.(C) For given contexts, the student
interprets and determines the reasonableness of
solutions to systems of linear equations.
94
Objective 5The student will demonstrate an
understanding of quadratic and other nonlinear
functions.
95
A(d)(1) Quadratic and other nonlinear functions.
The student understands that the graphs of
quadratic functions are affected by the
parameters of the function and can interpret and
describe the effects of changes in the parameters
of quadratic functions.(B) The student
investigates, describes, and predicts the effects
of changes in a on the graph of y ax2.
96
Which lists the functions of the form y ax2 in
order from the widest to the narrowest graph?
Correct Answer - B
April 2006 37
97
What is the effect on the graph of the equation y
-4x2 when the equation is changed to y 4x2?
A The graph of y 4x2 is translated 8 units
down. B The graph of y 4x2 is a reflection of
y -4x2 across the x-axis. C The graph of y
4x2 is translated 8 units up. D The graph of y
4x2 is a reflection of y -4x2 across the
y-axis.
Correct Answer - B
April 2004 17
98
The graph of the function y x2 is given below.
How will the graph be affected if the coefficient
of x2 is decreased to ¼?
F The parabola will be wider. G The parabola
will be narrower. H The parabola will be
translated up. J The parabola will be
translated down.
Correct Answer - F
Spring 2003 22
99
A(d)(1) Quadratic and other nonlinear functions.
The student understands that the graphs of
quadratic functions are affected by the
parameters of the function and can interpret and
describe the effects of changes in the parameters
of quadratic functions.(C) The student
investigates, describes, and predicts the effects
of changes in c on the graph of y x2 c.
100
Shirley graphed a function of the form y ax2
c. She then translated the graph 8 units up,
resulting in the function y ?x2 5. Which of
the following best represents Shirleys original
function?
F y ?x2 13 G y ?x2 13 H y ?x2
3 J y ?x2 3
Correct Answer - J
April 2006 18
101
How does the graph of y x2 differ from the
graph of y x2 4?
A The graph of y x2 4 is wider than the graph
of y x2. B The graph of y x2 4 is shifted
to the left of the graph of y x2. C The graph
of y x2 4 is shifted down from the graph of
y x2. D The graph of y x2 4 is narrower
than the graph of y x2.
Correct Answer - C
April 2004 45
102
A(d)(1) Quadratic and other nonlinear functions.
The student understands that the graphs of
quadratic functions are affected by the
parameters of the function and can interpret and
describe the effects of changes in the parameters
of quadratic functions.(D) For problem
situations, the student analyzes graphs of
quadratic functions and draws conclusions.
103
An object was dropped from a height of 250 meters
and fell to the ground. The graph below shows
the change in h, the objects height in meters,
with respect to t, the time in seconds.
According to the graph, which time interval best
represents when the object was at 140 meters
above the ground?
F Between 3 seconds and 3.25 seconds G Between
3.75 seconds and 4 seconds H Between 3.5
seconds and 3.75 seconds J Between 3.25
seconds and 3.5 seconds
Correct Answer - J
April 2006 22
104
The graph below shows h, the height in meters of
a model rocket, versus t, the time in seconds
after the rocket is launched. From the graph,
what conclusion can be made about the flight of
the rocket?
A The rocket reached its maximum height after
2.5 seconds. B At 0 seconds, the rocket was 2
meters off the ground. C The height of the
rocket was 0 meters when it was
launched. D The rocket was in flight for 5
seconds.
Correct Answer - B
April 2004 55
105
The sales record for a recent hit CD at Tonys
Music Store is shown on the graph below. Which
statement best describes the sales of this CD?
A Sales rapidly increased, reached a peak, and
then gradually decreased. B Sales gradually
increased, reached a peak, and then leveled
off. C Sales rapidly increased, reached a peak,
and then rapidly decreased. D Sales remained
constant throughout the time period.
Correct Answer - C
Spring 2003 1
106
A(d)(2) Quadratic and other nonlinear functions.
The student understands there is more than one
way to solve a quadratic equation and solves them
using appropriate methods.(A) The student
solves quadratic equations using concrete
models, tables, graphs, and algebraic methods.
107
The polynomial x2 x 6 is modeled below using
algebraic tiles. What are the solutions to the
equation x2 x 6?
A -3 and -2 B -3 and 2 C 3 and -2 D 3 and 2
Correct Answer - B
Spring 2003 27
108
A(d)(2) Quadratic and other nonlinear functions.
The student understands there is more than one
way to solve a quadratic equation and solves them
using appropriate methods.(B) The student
relates the solutions of quadratic equations to
the roots of their functions.
109
Which graph best represents an equation that has
the roots x -7/2 and x 1/2?
Correct Answer - G
April 2006 42
110
What are the roots of the function graphed below?
F (-1, -9) and (0, -8) G (0, -4) and (2,
0) H (-4, 0) and (2, 0) J (0, 2) and (0, -4)
Correct Answer - H
April 2004 40
111
What are the roots of the quadratic equation
x2 3x 2 0?
A -2 and -1 B -2 and 1 C 2 and -1 D 2 and 1
Correct Answer - D
Spring 2003 25
112
A(d)(3) Quadratic and other nonlinear functions.
The student understands there are situations
modeled by functions that are neither linear nor
quadratic and models the situations.(A) The
student uses patterns to generate the laws of
exponents and applies them in problem-solving
situations.
113
Marlena was asked to find an expression that is
not equivalent to 212. Which of the following is
not equivalent to the given expression?
F (22)6 G (28)4 H (26)(26) J (23)(29)
Correct Answer - G
April 2006 54
114
Which expression is equivalent to
?
Correct Answer - C
April 2004 33
115
The area of a rectangle is 144a8b4 square units.
If the width of the rectangle is 8a2b2 units,
what is the length in units?
A 18a6b2 units B 136a6b2 units C 152a10b6
units D 1152a10b6 units
Correct Answer - A
Spring 2003 41
116
Objective 6The student will demonstrate an
understanding of geometric relationships and
spatial reasoning.
117
(8.6) Geometry and spatial reasoning. The
student uses transformational geometry to develop
spatial sense. The student is expected to(A)
generate similar shapes using dilations including
enlargements and reductions
118
Look at the cylinder shown below.
Which of the following cylinders is similar to
the one shown?
Correct Answer - C
April 2006 35
119
A copy machine can enlarge or reduce letters
proportionately. Which would not be an
enlargement or reduction of the letter below?
Correct Answer - J
April 2004 16
120
Identify the drawing that shows Figure 1 under
dilation to produce Figure 2, using center of
dilation (0, 0) and a scale factor of ½.
Correct Answer - H
Spring 2003 40
121
The graph below shows ?XYZ and similar ?XYZ.
Which statement is true when transforming ?XYZ to
?XYZ.
F All the corresponding angles will increase by
a multiple of 3. G All the corresponding angles
will increase by a scale factor of ?. H All the
corresponding sides are proportional, with a
scale factor of 3. J All the corresponding sides
are proportional, with a scale factor of ?.
Correct Answer - H
Spring 2003 44
122
(8.6) Geometry and spatial reasoning. The
student uses transformational geometry to develop
spatial sense. The student is expected to(B)
graph dilations, reflections, and translations on
a coordinate plane.
123
?KQR is translated so that R is mapped to R.
Which ordered pair best represents either point
K or point Q?
F K (-3, 6) G Q (-4, -1) H K (5, -2) J Q (-3,
-2)
Correct Answer - J
April 2006 4
124
Pentagon PQRST is graphed on the coordinate grid
below. Which of the following points would be
the location of S if pentagon PQRST is dilated
by a scale factor of 2 and has a center of
dilation at (0, 0)?
F (-6, 4) G (2, -6) H (4, -6) J (4, -3)
Correct Answer - H
April 2006 34
125
At what coordinates should vertex Z be placed to
create a quadrilateral WXYZ that is similar to
quadrilateral PQRS?
F (24, 16) G (24, 24) H (20, 20) J (16, 24)
Correct Answer - F
April 2004 10
126
If quadrilateral TUVW is reflected across the
x-axis, to become quadrilateral TUVW, what
will be the coordinates of W?
F (-4, -2) G (-4, 2) H (2, -4) J (4, -2)
Correct Answer - G
April 2004 28
127
Identify the location of point P under
translation (x 3, y 2).
A (3, -2) B (2, 3) C (-1, 0) D (2, 0)
Correct Answer - D
Spring 2003 17
128
?RST is translated so that R is mapped to R.
Which set of ordered pairs best identifies points
S and T.
F S (8, 3), T(3, 8) G S(4, 3), T(9, 8) H
S(10,-1), T(12,-9) J S(10,3), T(5,4)
Correct Answer - G
Spring 2003 54
129
(8.7) Geometry and spatial reasoning. The
student uses geometry to model and describe the
physical world. The student is expected to(D)
locate and name points on a coordinate plane
using ordered pairs of rational numbers.
130
Which of the following ordered pairs best
represents the location of point T?
Correct Answer - G
April 2006 6
131
The circle shown below has a diameter of 10
units. Which of the following ordered pairs best
represents the location of the center of the
circle?
Correct Answer - J
April 2006 52
132
A portion of isosceles trapezoids NPRT is shown
on the grid below. At what coordinate should
vertex T be placed to make NP parallel to RT in
order to complete isosceles trapezoid NPRT?
A (-2, -2) B (-3, -2) C (-2, -3) D (-4, -5)
Correct Answer - C
April 2004 37
133
Which point on the grid satisfies the conditions
x 5 and y lt -1?
F W G X H Y J Z
Correct Answer - F
April 2004 48
134
A M B N C P D Q
Correct Answer - B
Spring 2003 51
135
Objective 7The student will demonstrate an
understanding of two- and three-dimensional
representations of geometric relationships and
shapes.
136
(8.7) Geometry and spatial reasoning. The
student uses geometry to model and describe the
physical world. The student is expected to(A)
draw solids from different perspectives
137
The drawing shows the top view of a 3-dimensional
object. Which of the following drawings best
represents this 3-dimensional object?
Correct Answer - C
April 2006 1
138
Which of the following shapes could not represent
a top, front, or side view of a trapezoidal prism?
A A square B A trapezoid C A rectangle D A
triangle
Correct Answer - D
April 2006 11
139
Lee designed a table that appears to be a cone
with a wooden board passing through it, as shown
below. Which of the following best represents a
top view of this table?
Correct Answer - B
April 2006 45
140
The drawing shows the top view of a structure
built with cubes as well as the number of cubes
in each column of the structure. Which
3-dimensional view represents the same structure?
Correct Answer - H
April 2004 56
141
The drawing shows a view of a building. Which
drawing best represents the top view of this
building?
Correct Answer - B
Spring 2003 3
142
(8.7) Geometry and spatial reasoning. The
student uses geometry to model and describe the
physical world. The student is expected to(B)
use geometric concepts and properties to solve
problems in fields such as art and architecture
143
An artist painted a mural from the photograph
shown below. If the artist used a scale of ½
inch to represent 1 foot, which of thefollowing
best represents thedimensions in feet of the
mural?
Correct Answer - H
April 2006 8
144
The blueprint dimensions for a newly constructed
house are proportional to the houses actual
dimensions. On the blueprints the houses
foundation measures 75 centimeters long by 40
centimeters wide. If the houses foundation
measures 15 meters long, what is the foundations
actual width?
A 8 m B 28.1 m C 50 m D 200 m
Correct Answer - A
April 2004 9
145
Near the downtown area of a city, there is a
vacant triangular plot of land with sides that
measure 22 feet, 27 feet, and 17 feet. If the
city council decides to plant an oak tree in the
corner with the smallest angle, where should the
tree be planted?
A In the corner opposite the side that is 17
feet B In the corner opposite the side that is 22
feet C In the corner opposite the side that is 27
feet D In the center of the triangular plot
Correct Answer - A
April 2004 41
146
Mr. Harrison wants to calculate the cost of
buying a carpet to cover his rectangular living
room floor. He knows the cost per square foot of
carpet, and he knows the length, width, and
height of the living room. Which geometric
formula should Mr. Harrison use to determine the
cost of the carpet he needs?
F c2 a2 b2 G V Bh H A lw J P 2l 2w
Correct Answer - H
April 2004 50
147
A blueprint of a house plan uses a scale in which
¼ inch equals 1 foot. If the length of one side
of the house is 65 feet, how many inches will the
length be on the blueprint?
F 4 in. G 16¼ in. H 65¼ in. J 260 in.
Correct Answer - G
Spring 2003 12
148
A regular hexagon is drawn in a circle as a
design on a window. Opposite vertices are
connected by line segments. What is the
measure of angle Y in degrees? Record your
answer and fill in the bubbles on your answer
document. Be sure to use the correct place value.
Correct Answer - 60
Spring 2003 21
149
(8.7) Geometry and spatial reasoning. The
student uses geometry to model and describe the
physical world. The student is expected to(C)
use pictures or models to demonstrate the
Pythagorean Theorem.
150
The drawing below shows how 3 squares can be
joined at their vertices to form a right
triangle.Which is closest to the area in
squareinches of the largest square?
A 1914 in.2 B 233 in.2 C 210 in.2 D 1073 in.2
Correct Answer - D
April 2006 15
151
Look at the right triangle shown below. Which of
the following could be the triangles dimensions?
F 12, 16.8, 18.2 G 5.4, 10.6, 16 H 1.2, 1.6,
2 J 8, 10, 12.5
Correct Answer - H
April 2004 36
152
The sides of squares can be used to form
triangles. The areas of the squares that form
right triangles have a special relationship.
Using the dimensions of the squares shown below,
determine which set of squares will form a right
triangle.
Correct AnswerC
Spring 2003 13
153
Use the Pythagorean theorem to find the figure
that is a right triangle.
Correct Answer - J
Spring 2003 56
154
Objective 8The student will demonstrate an
understanding of the concepts and uses of
measurement and similarity.
155
(8.8) Measurement. The student uses procedures
to determine measures of solids. The student is
expected to(A) find surface area of prisms and
cylinders using concrete models and nets
(two-dimensional models)
156
The net of a right triangular prism is shown
below. Use the ruler on the Mathematics Chart to
measure the dimensions of the right triangular
prism to the nearest centimeter. Which is closest
to the total surface area of this right
triangular prism?
A 18 cm2 B 60 cm2 C 48 cm2 D 36 cm2
Correct AnswerC
April 2006 25
157
The net of a cylinder is shown below. Use the
ruler on the Mathematics Chart to measure the
dimensions of the cylinder to the nearest tenth
of a centimeter. Which of the following best
represents the total surface area of this
cylinder?
F 137 cm2 G 93 cm2 H 23 cm2 J 14 cm2
Correct AnswerF
April 2004 38
158
(8.8) Measurement. The student uses procedures
to determine measures of solids. The student is
expected to(B) connect models to formulas for
volume of prisms, cylinders, pyramids, and cones
159
Look at the cylinder shown below. Which equation
best represents the volume, V, of this cylinder
in terms of p?
A V 16pr2 B V 8pr2 C V 4pr2 D V 4pr3
Correct Answer - D
April 2006 31
160
A triangular prism is shown below. What is the
volume of this triangular prism?
A 192 in.3 B 240 in.3 C 384 in.3 D 480 in.3
Correct Answer - A
April 2004 27
161
Steven has a cylindrical fish tank with a
diameter of 8 inches and a height of 14 inches.
He placed some rocks that took up 50 cubic inches
at the bottom of the tank. Then he filled the
tank with springwater to 2 inches from the top.
Which is the best strategy for determining the
volume of water the fish has for swimming?
F p(8)2(14) 50 G p(8)2(14 2) 50 H p(4)2(14
2) 50 J p(14 2)2(4) 50
Correct Answer - H
April 2004 30
162
The net of a cube is shown below. Use the ruler
on the Mathematics Chart to measure the
dimensions of the cube to the nearest quarter
inch. Which best represents the volume of this
cube to the nearest cubic inch?
A 2 in.3 B 9 in.3 C 12 in.3 D 18 in.3
Correct Answer - A
Spring 2003 33
163
(8.8) Measurement. The student uses procedures
to determine measures of solids. The student is
expected to(C) estimate answers and use
formulas to solve application problems involving
surface area and volume.
164
Mr. Bergman built a rectangular sandbox for his
children, as shown below. If each 50-pound bag
contains approximately 0.70 cubic foot of sand,
which is closest to the number of bags of sand
that Mr. Bergman used to completely fill this
sandbox?
A 81 B 19 C 972 D 116
Correct Answer - D
April 2006 27
165
The owners of Neatly Packaged Company make a
cylindrical container that has the dimensions
shown below. What is the approximate lateral
surface area available for the package label?
A 131.95 in.2 B 151.19 in.2 C 263.89
in.2 D 115.45 in.2
Correct Answer - A
April 2004 13
166
Ginny made a cylindrical clay vase for her art
project. If the vase has a volume of 339 cubic
inches and a diameter of 6 inches, which is
closest to the height of the vase?
F 36 in. G 18 in. H 12 in. J 3 in.
Correct Answer - H
Spring 2003 30
167
(8.9) Measurement. The student uses indirect
measurement to solve problems. The student is
expected to(A) use the Pythagorean Theorem to
solve real-life problems
168
A slide was installed at the local swimming pool,
as shown below. Which is closest to the length
of the slide?
A 29 ft B 16 ft C 21 ft D 81 ft
Correct Answer - C
April 2006 53
169
Mrs. Cheung hired a landscaping service to plant
a row of bushes around her triangular backyard.
If the bushes must be planted 3 feet apart,
approximately how many bushes are needed for Mrs.
Cheungs backyard?
A 23 B 25 C 28 D 32
Correct Answer - A
April 2004 15
170
The drawing shows part of the plan for a new
underground lawn-sprinkler system. Which is
closest to the length of the section of plastic
pipe from point A to point C?
A 4.7 ft B 5.7 ft C 6.7 ft D 7.7 ft
Correct Answer - B
Spring 2003 11
171
(8.9) Measurement. The student uses indirect
measurement to solve problems. The student is
expected to(B) use proportional relationships
in similar shapes to find missing measurements.
172
Trapezoid KMPR is similar to trapezoid LNQS.
Which is closest to the perimeter of trapezoid
LNQS?
A 23 units B 31 units C 25 units D 63 units
Correct Answer - A
April 2006 7
173
Jeremys house is 45 feet wide. In a photograph
the width of the house was 2.5 inches, and its
height was 2 inches. What is the actual height
of Jeremys house?
A 18 ft B 26 ft C 32 ft D 36 ft
Correct Answer - D
April 2006 41
174
To estimate the height of her schools gym,
Nicole sights the top of the gym wall in a mirror
that she has placed on the ground. The mirror is
3.6 meters from the base of the gym wall.Nicole
is standing 0.5 meterfrom the mirror, and
herheight is about 1.8 meters.What is the
height of thegym wall?
F 1 m G 5.9 m H 7.2 m J 12.96 m
Correct Answer - J
April 2004 42
175
A certain parallelogram has the dimensions shown.
Which set of dimensions would produce a similar
figure?
F 17.6 cm, 88 cm G 70.4 cm, 176 cm H 105.6 cm,
132 cm J 140.8 cm, 220 cm
Correct Answer - H
Spring 2003 16
176
(8.10) Measurement. The student describes how
changes in dimensions affect linear, area, and
volume measures. The student is expected to(A)
describe the resulting effects on perimeter and
area when dimensions of a shape are changed
proportionally
177
The owner of an amusement park created a circular
maze that has a diameter of 50 feet. If the
owner doubles the radius of the maze, which
statement describes what will happen to the
circumference and area of the maze?
A The circumference and the area will double. B
The circumference and the area will
quadruple. C The circumference will double, and
the area will quadruple. D The circumference
will quadruple, and the area will double.
Correct Answer - C
April 2006 23
178
If the dimensions of a rectangle with a perimeter
of 24 inches are tripled, what will be the
perimeter in inches of the new rectangle?
Record your answer and fill in the bubbles
on your answer document. Be sure to use
the correct place value.
Correct Answer - 72
April 2004 21
179
The scale of two similar quadrilaterals is 12.
The perimeter of the smaller quadrilateral is 80
centimeters. What is the perimeter of the larger
quadrilateral?
A 40 cm B 80 cm C 160 cm D 320 cm
Correct Answer - C
Spring 2003 55
180
(8.10) Measurement. The student describes how
changes in dimensions affect linear, area, and
volume measures. The student is expected to(B)
describe the resulting effect on volume when
dimensions of a solid are changed proportionally.
181
The edges of a large cube are 4 times longer than
the edges of a small cube. How many times
greater is the volume of the large cube?
F 4 times G 12 time H 16 times J 64 times
Correct Answer - J
Spring 2003 28
182
Objective 9The student will demonstrate an
understanding of percents, proportional
relationships, probability, and statistics in
application problems.
183
(8.3) Patterns, relationships, and algebraic
thinking. The student identifies proportional
relationships in problem situations and solves
problems. The student is expected to(B)
estimate and find solutions to application
problems involving percents and proportional
relationships such as similarity and rates.
184
Bruce went to a barbershop for a haircut. The
price for a haircut at this barbershop is 15,
tax included. If Bruce tipped the barber 15 of
the cost of the haircut and the tax, how much
change in dollars and cents should he have
received if he paid with a 20 bill?
Record your answer and fill in the bubbles on
your answer document. Be sure to use the correct
place value.
Correct Answer 2.75
April 2006 21
185
Of the 32 students in Mrs. Zanes class, 25 have
brown hair. Of the remaining students, 12.5
have red hair. How many students in Mrs. Zanes
class have red hair?
A 3 B 4 C 21 D Not here
Correct Answer - A
April 2004 29
186
The worlds fastest flying insect is the
dragonfly. It can fly 36 miles per hour. If a
dragonfly flew in a straight path at this rate,
what distance would it fly in 15 minutes?
F 2 mi G 9 mi H 25 mi J 540 mi
Correct Answer - G
April 2004 6
187
Mr. Salinas, a real estate agent, received a 5
commission on the selling price of a house. If
his commission was 6,975, what was the selling
price of the house?
F 7,342 G 34,875 H 139,500 J 662,625
Correct Answer - H
April 2004 42
188
(8.11) Probability and statistics. The student
applies concepts of theoretical and experimental
probability to make predictions. The student is
expected to(A) find the probabilities of
compound events (dependent and independent)
189
Jerry has a CD case that contains 4 country music
CDs, 1 rock-and-roll CD, 2 rap CDs, and 3 Tejano
CDs. What is the probability of Jerry randomly
selecting a Tejano CD and then, without replacing
it, randomly selecting a rap CD from his case?
Correct Answer - B
April 2006 17
190
Jared has a white cube and a red cube. The
surfaces of each cube are numbered with a unique
number from 1 to 6. If Jared tosses the cubes,
what is the probability he will get a 4 on the
white cube and an odd number on the red cube?
Correct Answer - A
April 2004 15
191
(8.11) Probability and statistics. The student
applies concepts of theoretical and experimental
probability to make predictions. The student is
expected to(B) use theoretical probabilities
and experimental results to make predictions and
decisions.
192
The table below shows the results of rolling a
fair number cube 50 times during a classroom
activity. What is the difference between the
theoretical probability of rolling a number less
than 4 and the experimental results recorded in
the table?
F 8 G 79 H 58 J 29
Correct Answer - F
April 2006 44
193
The table shows the results of a number cube
being rolled. Based on the results, what is the
experimental probability of rolling a 1?
Correct Answer - C
April 2004 43
194
(8.12) Probability and statistics. The student
uses statistical procedures to describe data.
The student is expected to(A) select the
appropriate measure of central tendency to
describe a set of data for a particular purpose
195
Nicholas earned the following grades on his
science exams 83, 88, 87, and 83. If Nicholas
scores a 90 on his last exam, which measure of
central tendency will give him the highest score?
F Mode G Median H Range J Mean
Correct Answer - G
April 2004 34
196
Given the set of data 20, 15, 10, 20, 15, 10,
20, 20, 50, which statement best interprets the
data?
F Only the mean is 20. G The range of the set of
data is 20. H The mean, median, and mode are all
20. J The mode and median are not the same.
Correct Answer - H
April 2004 18
197
(8.12) Probability and statistics. The student
uses statistical procedures to describe data.
The student is expected to(C) construct circle
graphs, bar graphs, and histograms, with and
without technology.
198
The table shows a math departments budget for
the upcoming school year. Which bar graph best
represents the data given in the table?
Correct Answer - J
April 2006 56
199
Of the 800 students at a local high school, 200
students have no siblings, 318 students have one
sibling, 160 students have two siblings, and the
rest of the students have three or more siblings.
Use the key below to find the circle graph that
best represents this information.
Correct Answer - B
April 2004 3
200
The student election committee at Chesterfield
High School recorded the number of votes that
each of 4 presidential candidates received in the
student council election. A total of 240
students voted. Charlene received 12.5 of the
votes, Jimmy received 33.3, Stephen received
16.7, and Lupe received 37.5. Which bar graph
best represents the number of votes each
presidential candidate received in the student
council election?
Correct Answer - D
April 2004 39
201
(8.13) Probability and statistics. The student
evaluates predictions and conclusions based on
statistical data. The student is expected
to(B) recognize misuses of graphical or
numerical information and evaluate predictions
and conclusions based on data analysis.
202
Richard budgets 1200 of his job earnings on a
monthly basis. The graph below shows his monthly
budget. Which conclusion can be drawn from the
information given?
A More than 30 of Richards budget is for
credit card payments, insurance, and food
combined. B Richard budgets 384 for utilities,
insurance, and his car payment combined. C
Less than 50 of Richards budget is for rent,
food, and utilities combined. D Richard
budgets 228 for savings, entertainment,
and clothes combined.
Correct Answer - B
April 2006 19
203
The table shows the population and the area in
square miles of some U.S. states. Which
statement best describes the relationship between
the population and the area of the state?
A The larger a states area, the larger
its population is. B No relationship can be
determined from the data in the table. C
New Jersey has the smallest population of
the states in the table because it has the
smallest area. D Texas is the largest U.S.
state.
Correct Answer - B
April 2004 39
204
Objective 10The student will demonstrate an
understanding of the mathematical processes and
tools used in problem solving.
205
(8.14) Underlying processes and mathematical
tools. The student applies Grade 8 mathematics
to solve problems connected to everyday
experiences, investigations in other disciplines,
and activities in and outside of school. The
student is expected to(A) identify and apply
mathematics to everyday experiences, to
activities in and outside of school, with other
disciplines, and with other mathematical topics
206
Mr. Harmon is planning to sell his house and
wants to paint all the rooms. A can of paint
costs 12.95 plus 7.75 sales tax and covers
about 476 square feet. What other information is
needed to determine the number of cans of paint
Mr. Harmon needs to purchase?
F The number of rooms in the house G The area in
square feet to be painted H The total cost of
each can of paint J The name of the store where
Mr. Harmon will buy the paint
Correct Answer - G
April 2004 2
207
Jerry and Dan are recycling newspaper for a
school project. Together they made 21 stacks of
newspaper. Each stack is 4 feet tall. Dan can
load a stack in 15 minutes, and Jerry can load a
stack in 10 minutes. What information is NOT
needed to find whether they can load all the
newspaper in 2 hours if they work together?
F The time it takes to load the newspaper. G The
rate at which each boy loads the newspaper. H The
height of each stack of newspaper. J The number
of stacks of newspaper.
Correct Answer - H
Spring 2003 48
208
Greta and her friends are having lunch at Joes
Diner. The total cost of their lunch, including
tax, is 54.63. Greta and her friends have
65.00 altogether and want to leave a tip equal
to 15 of the total bill. Is 65.00 enough to
cover the cost of their lunch and the 15 tip for
the server?
F No, they need 0.56 more. G No, they need 3.29
more. H Yes, and they have 2.18 left
over. J Yes, they have the exact amount.
Correct Answer - H
Spring 2003 52
209
(8.14) Underlying processes and mathematical
tools. The student applies Grade 8 mathematics
to solve problems connected to everyday
experiences, investigations in other disciplines,
and activities in and outside of school. The
student is expected to(B) use a problem-solving
model that incorporates understanding the
problem, making a plan, carrying out the plan,
and evaluating the solution for reasonableness
210
The price for this years season tickets to a
city hockey teams games was reduced by 15 from
last years ticket price, x. As a result, there
was a 22 increase in the number of
season-tickets sold this year. If a total of 4000
season tickets were sold last year and each
season ticket is equally priced, which expression
could be used to determine the total sales from
this years season tickets?
A 4000(1 0.22)(1 0.15)x B 4000(1 0.22