9th 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
Objective 1:
The student will describe functional
relationships in a variety of ways.
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.
To find c, the total cost of an order of DVDs from
a certain website, the equation c = 19.99n + 4.99
can be used, where n represents the number of
DVDs ordered. If c is a function of n, which of
the following best describes this relationship?
A The value of n is constant in relation to c.
B The value of n is dependent on c.
C The value of c is constant in relation to n.
D The value of c is dependent on n.
Correct Answer - D
April 2006 #41
For a car traveling at a speed of 50 miles
per hour, the relationship between the
distance traveled, d, and the time traveled,
t, is described by the function d = 50t.
Which statement is true?
F
G
H
J
The time traveled depends on the distance traveled.
The distance traveled depends on the time traveled.
The speed of the car depends on the distance
traveled.
The speed of the car depends on the time traveled.
Correct Answer - G
Spring 2003 #42
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.
In many parades, flowers are used to
decorate the floats. The table below shows
the number of flowers used in each row of a
parade float. Which equation best describes
these data?
A
n = 2r + 52
B
n = r + 54
C
n = 4r + 50
D
n = 4r + 54
Correct Answer - C
April 2006 #25
Which equation could be used to
generate this table of values?
A
y = -2x
B
y = 2x + 1
C
y=x+1
D
y = x2 + 1
Correct Answer - D
April 2004 #41
Which equation best describes the
relationship between the corresponding
values of x and y shown in the table?
F
y = x – 10
G
y = 2x – 8
H
y = 3x – 6
J
y = x2 – 8
Correct Answer - H
April 2004 #50
Students in a science class recorded lengths of a
stretched spring, as shown in the table below.
Which equation best represents the relationship
between distance stretched, x, and the weight on
the spring, y?
Correct Answer - D
Spring 2003 #49
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.
Mr. Ross is purchasing a table and chairs for
$1350, including tax and interest. He will pay for
the furniture with monthly payments of $75. If Mr.
Ross has made m payments, which equation best
describes r, the amount of the remaining balance?
F
r = (1350 – 75)m
G
r = 75m + 1350
H
r = 1350 – 75m
J
r = 75m - 1350
Correct Answer - H
April 2006 #30
The temperature in degrees Celsius, C, is 5/9 of the
difference between the temperature in degrees
Fahrenheit, F, and the constant 32. Which equation best
represents this relationship?
Correct
Answer
C
April 2004 #27
The Alejo family budgeted $2000 for their vacation.
Their budget consisted of $800 for travel costs and $75
per day for other expenses. Which inequality
represents the number of days, x, the family could
have stayed on vacation?
A
800 + 75x ≤ 2000
B
800x + 75 ≥ 2000
C
800x – 75 ≥ 2000
D
800 – 75x ≤ 2000
Correct Answer - A
Spring 2003 #45
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.
Which inequality best describes the graph
shown below?
Correct Answer - D
April 2006 #5
Jerome received a gift card for $20 worth of video
rentals from a video store. If the cost of renting a
video is $2.50, which table best describes b, the balance
remaining on the gift card after he rents n videos?
Correct
Answer
F
April 2004 #24
The function f(x) = {(1,2), (2,4), (3,6), (4,8)} can be
represented in several other ways. Which is NOT a
correct representation of the function f(x)?
Correct
Answer
G
Spring 2003 #24
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.
The graph below represents Lynne’s car trip from her
house to the mall and then back to her house. If each
section of the graph represents part of Lynne’s trip,
which part of the trip took the least amount of time?
A
r
B
p
C
q
D
s
Correct
Answer
C
April 2006 #37
Which graph best represents the relationship
between the height of a burning candle and the
amount of time that passes as the candle burns?
Correct
Answer
J
April 2004 #46
Which is always a correct conclusion about the
quantities in the function y = x +4?
A
The variable x is always 4 more than y.
B
When the value of x is negative, the value
of y is also negative.
C
The variable y is always greater than x.
D
As the value of x increases, the value of y
decreases
Correct Answer - C
Spring 2003 #25
Objective 2:
The student will demonstrate an
understanding of the properties and
attributes of functions.
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.
Which graph below best represents the linear
parent function?
Correct Answer - J
April 2006 #22
Which is the best representation of the
function y = x?
Correct Answer - B
Spring 2003 #7
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.
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].
Look at the graph. Which is the best interpretation of
this graph?
A
Jorge earns $20 for each
hour worked.
B
For every 10 pieces of
candy Stacey buys, she pays
$1.
C
For every 10 students at
a dance, 2 teachers are needed
as chaperones.
D
A runner runs at a
constant rate of 2 miles every
30 minutes.
Correct Answer - B
April 2006 #51
Which statement is true for the graph below?
A Ms. Goodlett will earn
$500 if she sells $5000
worth of merchandise.
B Mr. Murphy will not
earn any money if he does
not sell any merchandise.
C Mr. Laster will earn
$1000 if he sells $1000
worth of merchandise.
D Ms. Cho will earn
$700 if she sells $5000
worth of merchandise.
Correct Answer - D
April 2004 #47
Identify the graph
that best represents
the relationship
between the number
of gallons of gasoline
Mr. Johnson
purchased at $1.49 a
gallon and the total
cost of his gasoline.
Correct Answer - F
Spring 2003 #48
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.
The graph shows the
relationship between the
distance in miles a delivery
truck traveled and the
number of hours each
delivery took. Which best
describes the relationship
shown in the graph?
A
Negative trend
B
Positive trend
C
Constant trend
D
No trend
Correct Answer - B
April 2006 #33
Monica collected data on the ages and heights of
a random sample of sixth-, seventh-, and eighthgrade students at her school. If she plots the
data on a scatterplot, what relationship will she
most likely see between age and height?
A
A negative correlation
B
No correlation
C
A positive correlation
D
A constant correlation
Correct Answer - C
Spring 2003 #11
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.
Ronald wants to buy a shirt that is on sale for
15% off the regular price. The regular price
of the shirt is p dollars. Which expression
represents the sale price of the shirt?
F
p – 0.15p
G
p + 0.15p
H
p – 15p
J
0.15p
Correct Answer - F
April 2006 #6
A class consists of 8
freshmen and 22
sophomores. Freshmen had
an average of x points on a
test, while the sophomores
had an average of y points.
Which expression gives the
average test score per
student for the entire class?
Correct Answer - A
April 2004 #45
A large room has the dimensions shown below. A partition is
to be installed so that 2 classes can use it. The area of the
smaller classroom is 38x. How can the area of the larger
classroom be expressed in terms of x?
Correct Answer - D
Spring 2003 #19
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.
Sue wants to write an expression that will
always produce an even integer. Which of the
following will always produce an even integer
for any given integer, n?
A
2n + 1
B
2n – 1
C
n+2
D
2n
Correct Answer - D
April 2004 #43
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.
Tammy drew a floor plan for her kitchen, as shown
below. Which expression represents the area of
Tammy’s kitchen floor in square units?
F
6x2 + 30x + 5
G
6x2 + 13x + 5
H
10x + 12
J
5x + 6
Correct Answer - G
April 2006 #16
The area of a rectangle is 3x2 + 14x + 8, and
the width is x + 4. Which expression best
describes the rectangle’s length?
F
3x + 2
G
2x + 4
H
2x + 2
J
3x - 2
Correct Answer - F
April 2004 #16
The area of a rectangle is given by the equation
2l2 – 5l = 18, in which l is the rectangle’s length.
What is the length of the rectangle?
F
1.5
G
2
H
4.5
J
6
Correct Answer - H
Spring 2003 #46
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.
Simplify the algebraic expression
3(x + 3) – 2(x + 3).
F
x+3
G
x–3
H
-6x2 – 54
J
6x2 + 3
Correct Answer - F
April 2004 #20
Objective 3:
The student will demonstrate an
understanding of linear functions.
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.
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.
The table below shows various values for x and y.
Which equation best describes the relationship
between x and y?
A
y = -3x + 5
B
y = -5x – 7
C
y = -x + 17
D
y = 3x + 41
Correct Answer - A
April 2006 #15
Which function includes the data set
{(2, 4), (6, 6), (12, 9)}?
A
y = 2x
B
y = x/2
C
y = 2x - 9
D
y = x/2 + 3
Correct Answer - D
April 2004 #13
A math club decided to buy T-shirts for its members.
A clothing company quoted the following prices for
the T-shirts. Which equation best describes the
relationship between the total cost, c and the number
of T-shirts, s?
A
c = 6.75s
B
c = 7.00s
C
c = 2s - 20
D
c = 15 + 6s
Correct Answer - D
Spring 2003 #41
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.
What is the slope of the line that contains the
coordinate points (8, -3) and (-2, 7)?
A
-1
B
-9/11
C
-5/3
D
-2/5
Correct Answer - A
April 2006 #17
What is the slope of the linear function shown in
the graph?
Correct Answer - B
April 2004 #19
In the distance formula, d = rt, r represents the rate of
change, or slope. Which ray on the graph best
represents a slope of 55 mph?
A
W
B
X
C
Y
D
Z
Correct Answer - A
Spring 2003 #39
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.
A small business purchased a van to handle its delivery orders.
The graph below shows the value of this van over a period of
time. Which of the following best describes this situation?
A
The van was
purchased for
$1,600.
B
The van decreases
in value by $1,600
per year.
C
The van increases in
value by $1,600 per
year.
D
The van has no
value after 5 years.
Correct Answer - B
April 2006 #11
The line segment on the graph shows the altitude of a
landing airplane from the time its wheels are lowered to
the time it touches the ground. Which of the following best
describes the slope of the line segment?
F The plane descends about 1
foot per 8 seconds.
G The plane descends
about 8 feet per
second.
H The plane descends
about 1 foot per 2
seconds.
J The plane descends
about 2 feet per second
Correct Answer - G
April 2004 #34
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 realworld 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.
The graph of a linear function is shown on the coordinate grid
below. If the y-intercept is changed to (0, 5) and the slope
becomes -4, which statement best describes the relationship
between the two lines when they are graphed on the same
coordinate grid?
F The y-intercepts are 1 unit
apart, and the lines are parallel.
G The y-intercepts are 1 unit
apart, and the lines intersect
at (1, 1).
H The y-intercepts are 1 unit
apart, and the lines are
perpendicular.
J The y-intercepts are 1 unit
apart, and the lines intersect
at (1, 0).
Correct Answer
G April 2006 #12
The graph of a line that contains the points (-1, -5) and (4, 5) is
shown below. Which best represents this line if the slope is doubled
and the y-intercept remains constant?
Correct Answer - G
Spring 2003 #18
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.
Which equation describes a line that has a
y-intercept of 5 and a slope of ½?
Correct Answer - F
April 2004 #10
Which linear function includes the points (-3, 1) and (-2,4)?
Correct Answer - F
Spring 2003 #44
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 realworld and mathematical situations.
(E) The student determines the intercepts
of linear functions from graphs, tables,
and algebraic representations.
Which of the following ordered pairs is the
x-intercept or the y-intercept of the function
2x – y = 8?
A
(8, 0)
B
(0, 4)
C
(4, 0)
D
(0, 8)
Correct Answer - C
April 2006 #19
What are the x- and y-intercepts of the function
graphed below?
F
(4, 0) and (5, 0)
G
(4, 0) and (0, 5)
H
(0, 4) and (5, 0)
J
(0, 4) and (0, 5)
Correct Answer - G
April 2004 #42
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 realworld and mathematical situations.
(F) The student interprets and predicts the
effects of changing slope and y-intercept
in applied situations.
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.
On a certain day the exchange rate of Mexican
pesos for U.S. dollars was approximately 10 pesos
for 1 dollar. If an exchange of 4,000 pesos was
made that day, what was the approximate value of
the exchange in dollars?
F
$40
G
$400
H
$4,000
J
$40,000
Correct Answer - G
Spring 2003 #2
Objective 4:
The student will formulate and use
linear equations and inequalities.
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.
Brandon has a budget of $58 to spend on clothes.
The shirts he wants to buy are on sale for $9 each,
and the pair of pants he wants costs $21. All prices
include tax. Which inequality could be used to
determine s, the maximum number of shirts
Brandon can buy if he also buys the pair of pants?
F
21s + 9 < 58
G
9s + 21 ≤ 58
H
30s < 58
J
9s – 21 ≤ 58
Correct Answer - G
April 2006 #38
A weather balloon is launched from a height of 475
feet above sea level. If the balloon rises at a
constant rate of 85 feet per minute, which equation
could be used to determine t, the time in minutes it
will take the balloon to reach a height of 9245 feet
above sea level?
A
9245 = 85 + 475t
B
9245 = 85(t + 475)
C
9245 = 475 + 85t
D
9245 = (475 + 85)t
Correct Answer - C
April 2004 #7
The number of hours Abe practices golf each
week, g, is 2 more than the number of hours he
runs, r. Which equation represents the number of
hours he runs each week?
F
r=g–2
G
g=r–2
H
g = 2r
J
r=g+2
Correct Answer - F
Spring 2003 #30
Passengers on many commercial flights may make
calls from a telephone provided by the airline. On
a certain airline a call costs $3 to connect plus $2
for each minute. Which equation best represents c,
the total cost for a call that lasts m minutes?
F
m = 3 + 2c
G
c = 3 + 2m
H
m = 2 + 3c
J
c = 2 + 3m
Correct Answer - G
Spring 2003 #50
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.
If (x, -3.2) is a solution to the equation 4x = 5y – 17,
what is the value of x?
F
0.84
G
0.25
H
-5.96
J
-8.25
Correct Answer - J
April 2006 #10
If (x, -4) is a solution to the equation 4x – 5y = 8,
what is the value of x?
A
-4.8
B
-3
C
1.6
D
7
Correct Answer - B
April 2004 #17
The graphs of the linear equations y = 2x – 3 and
y = 3x – 7 are shown below. If 2x – 3 = 3x – 7,
what is the value of x?
F
4
G
5
H
9
J
10
Correct Answer - F
April 2004 #36
Auto-Check Motors charged Mr. Jones $84.00 for an
automotive part plus $68.00 per hour that a mechanic
worked to install the part. The total charge was
$353.00. For about how long did the mechanic work to
install the part on Mr. Jones’s car?
F
6h
G
5h
H
4h
J
3h
Correct Answer - H
Spring 2003 #8
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.
Harris has $20.92 to spend on video-game
rentals at a local video store. The store charges
$3.95 per video-game rental plus an 8.125% tax.
What is the maximum number of video games
that Harris can rent?
A
5
B
4
C
6
D
3
Correct Answer - B
April 2006 #27
A florist plans to sell bouquets for $25 each. He wants to use only
roses and carnations in each bouquet and needs to charge the
following amount for each type of flower.
$1.50 per rose
$1.25 per carnation
Which of these combinations of roses and carnations will result in
bouquets that the florist can sell for exactly $25 each?
I. 18 roses and 2 carnations
II. 6 roses and 10 carnations
III. 10 roses and 8 carnations
IV. 5 roses and 14 carnations
F
I and II only
G
II and III only
H
III and IV only
J
I and IV only
Correct Answer - H
April 2006 #52
A recycling center pays $0.35 per pound of glass
that it receives. If students at Falcon High School
want to raise $500 in a glass-recycling project,
what is a reasonable number of pounds of glass
they must collect?
A
750 lb
B
175 lb
C
500 lb
D
1500 lb
Correct Answer - D
April 2004 #5
The cost of renting a DVD at a certain store is described
by the function
f(x) = 4x + 3
in which f(x) is the cost and x is the time in days. If Lupe
has $12 to spend, what is the maximum number of days
that she can rent a single DVD if tax is not considered?
F
1
G
2
H
3
J
7
Correct Answer - G
Spring 2003 #40
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.
The perimeter of a rectangular wooden deck is 90
feet. The deck’s length, l, is 5 feet less than 4 times its
width, w. Which system of linear equations can be
used to determine the dimensions, in feet, of the
wooden deck?
F
2l + 2w = 90
l = 5 – 4w
G
2l + 2w = 90
l = 5w – 4
H
2l + 2w = 90
l = 4 – 5w
J
2l + 2w = 90
l = 4w – 5
Correct Answer - J
April 2006 #32
The Frosty Ice-Cream Shop
sells sundaes for $2 and
banana splits for $3. On a hot
summer day, the shop sold 8
more sundaes than banana
splits and made $156. Which
system of equations could be
used to find the number of
sundaes, s, and banana splits,
b, that the shop sold that day?
A
2s + 3b = 156
s=b+8
B
2b + 3s = 156
s+b=8
C
2s + 3b = 8
s = b + 156
D
2s + 3b = 156
b–s=8
Correct Answer - A
April 2004 #39
Ms. Kitts works at a music store.
Last week she sold 6 more than 3
times the number of CDs that she
sold this week. Mr. Kitts sold a
total of 108 CDs over the 2
weeks. Which system of
equations can be used to find l,
the number of CDs she sold last
week, and t, the number of CDs
she sold this week?
A
l + t = 108
t = 3l + 6
B
l + t = 108
t = 3l -6
C
l + t = 108
l = 3t – 6
D
l + t = 108
l = 3t + 6
Correct Answer - D
Spring 2003 #13
Objective 5:
The student will demonstrate an
understanding of quadratic and other
nonlinear functions.
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.
The graph of a function is shown below. If the graph is
translated 7 units down, which of the following best
represents the resulting graph?
Correct Answer - D
April 2006 #1
The graph of the function y = x2 – 3 is shown below.
If the graph of the original function is shifted 5 units
up, which of the following equations best represents
the translation of each point on the curve?
F
y = x2 + 5
G
y = x2 + 2
H
y = x2 – 2
J
y = x2 – 8
Correct Answer - G
April 2006 #46
How would the graph of the function y = x2 + 4 be
affected if the function were changed to y = x2 + 1?
F
The graph would shift 3 units up.
G
The graph would shift 3 units down.
H
The graph would shift 3 units to the right.
J
The graph would shift 3 units to the left.
Correct Answer - G
April 2004 #2
Which graph shows a function y = x2 + c when c < -1?
Correct Answer - G
April 2004 #8
In the graph of the function y = x2 + 5, which
describes the shift in the vertex of the parabola if,
in the function, 5 is changed to -2?
A
3 units up
B
7 units up
C
3 units down
D
7 units down
Correct Answer - D
Spring 2003 #9
When graphed, which function would appear to be
shifted 2 units up from the graph of f(x) = x2 + 1?
F
g(x) = x2 – 1
G
g(x) = x2 + 3
H
g(x) = x2 – 2
J
g(x) = x2 + 2
Correct Answer - G
Spring 2003 #52
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.
Which expression represents the area of a
rectangle with sides measuring 2x2y4z units and
5xy4z3 units?
F
7x2y8z3 units2
G
7x3y8z4 units2
H
10x3y8z4 units2
J
10x2y8z3 units2
Correct Answer - H
April 2006 #34
What is the simplified form of
Correct Answer - D
?
April 2006 #47
Which expression is equivalent to
A
4x9
B
4x2
C
2x8
D
2x4
Correct Answer - B
April 2004 #9
If y = x3, what is equivalent to x12?
F
y36
G
y15
H
y9
J
y4
Correct Answer - J
April 2004 #44
Which expression describes the area in square
units of a rectangle that has a width of 4x3y2 and a
length of 3x2y3?
F
12x6y6
G
12y5x5
H
7x6y6
J
7x5y5
Correct Answer - G
Spring 2003 #10
The area of a rectangle is 30m11n5 square units. If
the length of the rectangle is 6m4n2 units, how many
units wide is the rectangle? (m ≠ 0 and n ≠ 0)
A
5m7n3 units
B
24m7n3 units
C
36m15n7 units
D
180m15n7 units
Correct Answer - A
Spring 2003 #27
Objective 6:
The student will demonstrate an
understanding of geometric
relationships and spatial reasoning.
(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;
∆AHP ~ ∆ENK as shown below. Which scale factor
was used to transform ∆AHP to ∆ENK?
Correct Answer - G
April 2006 #20
∆DFG has vertices D(2, 4), F(4, 8), and G(6, 4). ∆DFG
is dilated by a scale factor of ¼ and has the origin as
the center of dilation. What are the coordinates of F’?
Correct Answer - F
April 2004 #18
∆MNP ~ ∆RST is shown below. Which scale factor was
used to transform ∆MNP to ∆RST?
A
1/3
B
1/2
C
2/7
D
5
Correct Answer - C
April 2004 #31
The pentagon in the graph below is to be dilated
by a scale factor of 1/3. Which graph shows this
transformation?
Correct Answer - H
Spring 2003 #32
(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.
∆LMN has vertices L(a, b), M(r, s), and N(u, v). What
will be the new coordinates of point M if the triangle is
translated 7 units to the right and 3 units down?
F
(r + 3, s – 7)
G
(r + 7, s – 3)
H
(r – 7, s + 3)
J
(r – 3, s + 7)
Correct Answer - G
April 2006 #40
Triangle XYZ is translated so that X is mapped to
X’. Which coordinate pair best represents Y’?
F
(-3, -8)
G
(2, -7)
H
(2, -6)
J
(2, -2)
Correct Answer - H
April 2004 #6
∆RST is shown on the coordinate plane below. Find
the coordinates of the vertices of the image of ∆RST
reflected across the y-axis.
A (-2, -3), (-4, -6), (-5, -1)
B (2, 3), (4, 6), (5, 1)
C (0, 3), (-2, 6), (-3, 1)
D (2, -3), (4, -6), (5, -1)
Correct Answer - B
Spring 2003 #47
(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.
Points K and L are shown on the grid below. If
point K is the midpoint of JL, what are the
coordinates of endpoint J?
F
(6, -5)
G
(-6, 7)
H
(0, 1)
J
(-4, 5)
Correct Answer - G
April 2006 #2
Which point on the grid below best represents
the coordinates
?
A
Point K
B
Point M
C
Point R
D
Point U
Correct Answer - A
April 2006 #39
∆KLM has coordinates K (−8, 3), L (−4, 1), and M (−2, 7).
What will be the new coordinates of point M if the triangle
is translated 4 units to the right and 3 units down?
F
(0, -2)
G
(2, 4)
H
(-4, 0)
J
(-6, 4)
Correct Answer - G
April 2004 #52
Which circle has a center located at coordinates (-3, 2)?
Correct Answer - D
Spring 2003 #3
Jake made a map of his neighborhood for a school
project. He placed a grid over the map. Which
coordinate point best represents the post office?
A
(6, 12)
B
(12, 6)
C
(1.2, 0.6)
D
(0.6, 1.2)
Correct Answer - D
Spring 2003 #43
Objective 7:
The student will demonstrate an
understanding of two- and threedimensional representations of
geometric relationships and shapes.
(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;
The drawing below shows both the top view of a solid
structure built with identical cubes as well as the number
of cubes in each column of the structure.
Correct Answer - F
April 2006 #4
The drawing below shows a solid with hexagonal
bases. Which drawing best represents the top view
of this hexagonal solid?
Correct Answer - H
April 2006 #48
The drawing shows a 3-dimensional solid.
Which best represents the shape of the solid
when viewed from the top?
F
Pentagon
G
Hexagon
H
Heptagon
J
Octagon
Correct Answer - G
April 2004 #4
Match the three views of this solid to its 3-dimensional sketch.
Correct
Answer
F
Spring 2003 #12
(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;
Olga plans to take a trip from her house in San
Marcos, Texas, to a friend’s house in Zapata, Texas.
She measured the distance between the two places on a
map and found it to be 8 inches. If the scale on the map
is ½ inch represents 14 miles, which is closest to the
actual distance in miles between the two places?
F
112 mi
G
224 mi
H
56 mi
J
44 mi
Correct Answer - G
April 2006 #8
An artist made a drawing of a house with a tree next
to it. The drawing is 1/18 the size of the actual house
and tree. The tallest point of the house is 12 feet 8
inches, and the tree is 27 feet tall. How many inches
tall is the tree in the drawing?
F
8.4 in.
G
18 in.
H
23.4 in.
J
486 in.
Correct Answer - G
April 2004 #30
Ms. Hill wants to carpet her rectangular living
room, which measures 14 feet by 11 feet. If the
carpet she wants to purchase costs $1.50 per
square foot, including tax, how much will it cost
to carpet her living room?
A
$50
B
$75
C
$154
D
$231
Correct Answer - D
April 2004 #49
A lawn is shaped like a parallelogram with a base of
32 feet and a height of 15 feet. Covering the lawn
with grass will cost $2.60 per square foot. How much
money will it cost to cover the lawn with grass?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
Spring 2003 #21
Correct Answer - 1248
A 12- by 16-foot rectangular floor will be covered
by square tiles that measure 2 feet on each side. If
the tiles are not cut, how many of them will be
needed to cover the floor?
A
192
B
96
C
48
D
14
Correct Answer - C
Spring 2003 #31
(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.
Look at the drawing shown below. If ∆KMP is a right
triangle formed by the placement of 3 squares, what
is the area of the shaded square?
A
135 in.2
B
24 in.2
C
66 in.2
D
81 in.2
Correct Answer - C
April 2006 #23
The drawing below shows 3 square parking lots that
enclose a grassy area shaped like a right triangle. If
Lot A’s perimeter is 300 yards and Lot B’s perimeter is
400 yards, what is the perimeter of Lot C?
A
500 yd
B
700 yd
C
1400 yd
D
2000 yd
Correct Answer - A
April 2004 #33
What is the area of the largest square in the diagram?
F 5 square units
G 9 square units
H 16 square units
J 25 square units
Correct Answer - J
Spring 2003 #14
Objective 8:
The student will demonstrate an
understanding of the concepts and uses
of measurement and similarity.
(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);
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 tenth of a centimeter. Which is
closest to the total surface area of
the cube represented by this net?
A
74 cm2
B
11 cm2
C
43 cm2
D
12 cm2
0
1
2
3
4
Correct Answer - A
April 2006 #9
Like April 2004 #35
0
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 ⅛ inch. Which is closest to
the total surface area
of this cylinder?
1
4 in.2
G
11 in.2
H
14 in.2
J
25 in.2
2
F
3
1
2
Correct Answer - H
3
4
0
4
Spring 2003 #26
(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;
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 tenth of a centimeter. Which best represents the volume
of this cube to the nearest cubic centimeter?
A
11 cm3
B
13 cm3
C
30 cm3
D
42 cm3
0
1
2
Correct Answer - A
Spring 2003 #29
(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.
Mrs. Lee bought a small rectangular box that contains 10
tightly packaged erasers shaped like rectangular prisms, as
shown below. What is the approximate volume in cubic
centimeters of this rectangular box?
F
19 cm3
G
97 cm3
H
192 cm3
J
513 cm3
Correct Answer - H
April 2006 #14
The student council members are making decorative labels to
cover 20 identical empty coffee cans for a charity drive. Each
label will cover the entire lateral surface area of a can. Which
is closest to the lateral surface area of a single coffee can?
A
186 in.2
B
157 in.2
C
195 in.2
D
128 in.2
Correct Answer - D
April 2006 #31
A cylindrical water tank has a radius of 2.8 feet
and a height of 5.6 feet. The water tank is filled to
the top. If water can be pumped out at a rate of
36 cubic feet per minute, about how long will it
take to empty the water tank?
F
3h
G
2h
H
4 min
J
1 min
Correct Answer - H
April 2004 #22
A 72-inch piece of wire was cut into equal segments,
which were then soldered at the ends to form the edges
of a cube. What is the volume of the cube?
A
216 in.3
B
576 in.3
C
729 in.3
D
1728 in.3
Correct Answer - A
Spring 2003 #37
(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;
Mr. Carpenter built a wooden gate, as shown below. Which
is closest to the length in feet of the diagonal board that
Mr. Carpenter used to brace the wooden gate?
A
4.9 ft
B
5.3 ft
C
6.1 ft
D
6.9 ft
Correct Answer - B
April 2006 #35
A square park has a diagonal walkway from 1
corner to another. If the walkway is about 38
yards long, what is the approximate length of
each side of the park?
F
6 yd
G
19 yd
H
27 yd
J
54 yd
Correct Answer - H
April 2004 #26
In a town, there is a small garden shaped like a triangle, as
shown below. The side of the garden that faces Sixth Street is
80 feet in length. The side of the garden that faces Third
Avenue is 30 feet in length. What is the approximate length of
the side of the garden that faces Elm Street?
F
35 ft
G
40 ft
H
85 ft
J
110 ft
Correct Answer - H
Spring 2003 #38
(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.
∆MNQ is similar to ∆MLP. If ML = 10 centimeters,
what is the length of MN?
F
6.25 cm
G
8.3 cm
H
7.5 cm
J
4 cm
Correct Answer - F
April 2006 #44
If ΔTSR is similar to ΔTNM, what is the length of x?
A
240 units
B
140 units
C
120 units
D
70 units
Correct Answer - B
April 2004 #1
Kate has 2 similar triangular pieces of paper, as shown
below. Using the dimensions given, find the
approximate length of the side labeled p.
F
2.4 cm
G
7.3 cm
H
16.5 cm
J
19.6 cm
Correct Answer - G
Spring 2003 #6
(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;
If the dimensions of a rectangle are doubled,
which of the following best describes an effect
on the rectangle?
F The new area will be 2 times as large as the
original area.
G The new area will be 8 times as large as the
original area.
H The new perimeter will be 4 times as large as
the original perimeter.
J The new perimeter will be 2 times as large as
the original perimeter.
Correct Answer - J
April 2006 #26
Tony and Edwin each built a rectangular garden.
Tony’s garden is twice as long and twice as wide as
Edwin’s garden. If the area of Edwin’s garden is
600 square feet, what is the area of Tony’s garden?
A
1200 ft2
B
2400 ft2
C
3600 ft2
D
4800 ft2
Correct Answer - B
April 2004 #29
The scale factor of two similar polygons is 2:3. The
perimeter of the larger polygon is 150 centimeters.
What is the perimeter of the smaller polygon?
A
100 cm
B
75 cm
C
50 cm
D
150 cm
Correct Answer - A
April 2004 #37
Describe the effect on the area of a circle when
the radius is doubled.
F
The area is reduced by ½.
G
The area remains constant.
H
The area is doubled.
J
The area is increased four times.
Correct Answer - J
Spring 2003 #16
(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;
Objective 9:
The student will demonstrate an
understanding of percents, proportional
relationships, probability, and statistics
in application problems.
(8.1) Number, operation, and
quantitative reasoning. The student
understands that different forms of
numbers are appropriate for different
situations. The student is expected to
(B) select and use appropriate forms of
rational numbers to solve real-life
problems, including those involving
proportional relationships.
(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.
If a wheel spins at a rate of 36 revolutions per minute,
how many revolutions per hour does the wheel spin?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
Correct Answer - 2160
April 2006 #21
Antonio works 40 hours per week at Electronics
Warehouse. He earns $6.50 per hour plus a 3%
commission on the total dollar value of the service
contracts he sells. If Antonio’s hourly rate were
increased by $0.15 and his commission were raised to
5%, how much would he earn if he sold $4000 worth of
service contracts for the week?
A
$126.50
B
$206.65
C
$466.00
D
$580.00
Correct Answer - C
April 2004 #11
A couple bought a house and calculated that they
would pay 30% of their combined monthly income of
$5,569.75 toward the monthly mortgage payment on
the house. Approximately how much will the couple
pay for their monthly mortgage payment?
A
$186
B
$1,671
C
$3,899
D
$18,566
Correct Answer - B
Spring 2003 #17
A watch loses 3 minutes every 24 hours. How much time till
it lose in 2 hours?
A
1.6 seconds
B
5 seconds
C
15 seconds
D
22.5 seconds
Correct Answer - C
Spring 2003 #35
(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);
A jar contains 6 red marbles and 10
blue marbles, all of equal size. If
Dominic were to randomly select 1
marble without replacement and then
select another marble from the jar,
what would be the probability of
selecting 2 red marbles from the jar?
Correct Answer - B
April 2006 #45
At Reyna High School 50% of the students
eat lunch in the school cafeteria. In the same
school 10% of the students participate in
sports. What is the probability that a
student selected at random eats in the school
cafeteria and participates in sports?
Correct Answer - H
Spring 2003 #36
(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.
A spinner was spun 20 times. The results are shown in the
table below. Which color on the spinner has the same
experimental probability as theoretical probability?
F
Red
G
White
H
Blue
J
Yellow
Correct Answer - G
April 2004 #32
Last basketball season Ricky made 58% of the free
throws he attempted. In the first game this season,
Ricky went to the free-throw line 10 times. About how
many free throws did Ricky make if his success rate
from last season continued?
F
58
G
10
H
6
J
4
Correct Answer - H
Spring 2003 #4
(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;
Ms. Díaz asked each of her 27 statistics students to
write down an integer from 1 to 10. To determine the
most common number the students picked, which
measure of central tendency should Ms. Díaz use?
A
Mode
B
Mean
C
Median
D
Range
Correct Answer - A
April 2006 #29
(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.
The table below shows the number of student absences for the
school year in Mr. Cruz’s math classes. Which of the following
graphs best represents the data shown in the table?
Correct Answer - J
April 2006 #50
Students in two
honors history classes
took their first test.
Of 40 students taking
the test, 12 received
an A, 16 received a B,
8 received a C, 2
received a D, and the
remaining received
an F. Which circle
graph best represents
these data?
Correct Answer - H
April 2004 #40
Which histogram best
reflects the data shown
in the table?
Correct Answer - C
Spring 2003 #51
(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.
When Memorial Elementary held its annual spring festival,
Benjamin surveyed 100 students to see which activity they preferred.
The graph below shows the results of Benjamin’s survey. Which of
the following statements is supported by these data?
F Close to half the students surveyed preferred
F More
G
JH
Close
The
Moreratio
students
to
than
half
of25%
the of
either the moon walk or the dunking booth.
preferred
the
students
students
surveyed
who
musical
G More than 25% of the students surveyed
surveyed
preferred
chairs
thanpreferred
either the
musical
preferred the pony ride or the pie toss.
moon
the
chairs
preferred
pony
walk
to the
ride
allorpie
the
or
the
H The
ratio
ofbooth.
students who preferred musical
dunking
the
toss
other
pie
was
activities
toss.
1:3.
chairs to the pie toss was 1:3.
combined.
J More students preferred musical chairs than preferred all the
other activities combined.
Correct Answer - F
April 2006 #28
The table shows the results of a survey given to 450
graduating seniors about their educational plans after high
school. Based on these data, which of the following
statements is true?
A Only 15 students have no future educational plans.
B More students plan to attend a community college or
technical school than plan to attend a university.
C Fewer than half of the students plan to attend a university.
D Fewer than one-fourth of the students plan to attend a
community college.
Correct Answer - C
April 2004 #3
The graph below shows the amount of time Dennis spent studying
over a 2-week period in October. Which of the following
statements would be an invalid conclusion for these data?
F Dennis spent a total of
660 minutes studying.
G Dennis studied for an
average of about 47
minutes per day.
H Dennis studied for an
average of 330 minutes
per week.
J Dennis earned good
grades during this
2-week period.
Correct Answer - J
April 2004 #14
Objective 10:
The student will demonstrate an
understanding of the mathematical
processes and tools used in problem
solving.
(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;
The astronomy club rented a bus to visit the
planetarium. The club rented the bus at a rate of
$24.95 per day plus $0.45 per mile driven over 50
miles. If the astronomy club rented the bus for 1 day,
what additional information is needed to determine the
total cost of renting the bus?
A The total number of students in the astronomy club
B The number of hours the bus was driven each day
C The number of days the bus was rented
D The total number of miles the bus was driven
Correct Answer - D
April 2006 #13
Narong’s family bought 3 shirts, 2 pairs of jeans, and 2
pairs of shoes. Each shirt cost $18, and each pair of
shoes cost $35. The jeans were marked down from their
original price of $40. What other information, if any, is
needed to find the total cost of the 7 items before tax?
A
The percent markdown for the shirts
B
The original price of the jeans
C
The percent markdown for the jeans
D
No additional information is needed
Correct Answer - C
April 2006 #43
Adam’s age is 4 years less than twice Blanca’s age. If
Adam is 16 years old, which equation can be used to
determine Blanca’s age?
F
2(x – 4) = 16
G
2x – 4 = 16
H
4 – 2x = 16
J
2(4 – x) = 16
Correct Answer - G
April 2004 #38
A newspaper reported that the mean height of waves in
the Norwegian Sea increased by 4 inches per year from
1955 to 1994. What additional information is needed
to calculate the mean wave height in 1994?
F
The mean height of waves in 1955
G
The range of wave heights from 1955 to 1994
H
The projection of the mean height of waves for the
next year
J
The distance from land to where the wave
measurements were taken
Correct Answer - F
Spring 2003 #20
Trina was recording the calorie content of the food she ate. For
lunch she had 3 ounces of chicken, 2 slices of cheese, 2 slices of
wheat bread, one-half tablespoon of mayonnaise, a 16-ounce
glass of lemonade, and an apple for dessert. According to the
chart below, which equation best represents the total number of
calories she consumed during lunch?
Correct Answer - C
Spring 2003 #23
Mr. McGregor wanted to cover
the floor in his living room with
carpet that cost $12 per square
yard. The blueprint shows
the area of the living
room relative to
the area of the house.
What information must be
provided in order to find the
total cost of the carpet?
F
The lengths and widths of the adjoining rooms in the blueprint
G
The scale of yards to inches in the blueprint
H
The total area of the house in the blueprint
J
The thickness of the carpeting in inches
Correct Answer - G
Spring 2003 #34
(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;
Mr. Rivera wants to build a barbed-wire fence containing 5 rows
of barbed wire around the irregularly shaped area shown in the
drawing below. Mr. Rivera wants to purchase rolls of barbed wire
that contain 1380 linear feet of wire per roll and purchase an
extra 500 linear feet of wire for a gate for the fence. Which of the
following is a correct method for Mr. Rivera to calculate the total
number of rolls of barbed wire he will need to purchase?
F
G
H
J
Determine the area of the property, multiply by 5, and then
divide by the sum of 1380 and 500
Determine the perimeter of the property, multiply by 5,
add 500, and then divide by 1380
Determine the area of the property, multiply by 5, add
500, and then divide by 1380
Determine the perimeter of the property, multiply by 5,
and then divide by the sum of 1380 and 500
Correct Answer - G
April 2006 #18
Heidi has a main-course choice of a hamburger, a hot dog, an egg
roll, a taco, a fish sandwich, or a chicken sandwich. She has a
side-order choice of French fries, corn chips, potato chips, or a
salad. Heidi’s beverage choice can be a soda, fruit punch, milk, or
water. Which is the best method to determine how many different
combinations Heidi could choose?
F
G
H
J
Add the total number of items in the 3 categories together
Multiply the total number of main-course choices by the
total number of side-order choices and add the product to
the total number of beverage choices
Multiply the sum of the total number of main-course
choices and the total number of side-order choices by the
total number of beverage choices
Multiply the total number of items in each of the 3
categories together
Correct Answer - J
April 2006 #36
Alonso’s family rented a car when they flew to
Orlando for a 4-day vacation. They paid $39 per day
and $0.09 for each mile driven. How much did it cost
to rent the car for 4 days and drive 350 miles, not
including tax?
A
$70.50
B
$124.50
C
$156.00
D
$187.50
Correct Answer - D
Spring 2003 #5
(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
(C) select or develop an appropriate problemsolving strategy from a variety of different types,
including drawing a picture, looking for a pattern,
systematic guessing and checking, acting it out,
making a table, working a simpler problem, or
working backwards to solve a problem.
The horizontal distance and the vertical distance between
the pegs on the geoboard shown below each represent 1
unit. Which is closest to the area of the polygon modeled
on the geoboard?
A
34 units2
B
27 units2
C
21 units2
D
17 units2
Correct Answer - C
April 2006 #7
Mrs. Shawnee wants to buy fresh cherries to make some cherry
pies for the school bake sale. The table below shows the sale
prices of fresh cherries at 4 local markets. According to the table,
which market has the best sale price per cup of cherries?
F
Rosie’s Fruit Stand
G
Fruits and More
H
Nicky’s Fruit Store
J
Freshly Picked Fruits
Correct Answer - G
April 2006 #42
Jake’s square backyard covers an area of 104 square
meters. How can Jake best determine the length of
each side of his backyard?
F
Divide the area by the number of sides
G
Square the area
H
Find the square root of the area
J
Divide the area in half
Correct Answer - H
April 2004 #48
Which of the following equations below represents the
second step of the solution process?
Step 1.
5(6x + 4) + 1 = -39
Step 2.
Step 3.
30x + 21 = -39
Step 4.
30x = -60
Step 5.
x = -2
A
5(6x + 1) + 4 = -39
B
5(6x + 5) = -39
C
30x + 4 + 1 = -39
D
30x + 20 + 1 = -39
Correct Answer - D
Spring 2003 #1
(8.15) Underlying processes and
mathematical tools. The student
communicates about Grade 8 mathematics
through informal and mathematical language,
representations, and models. The student is
expected to
(A) communicate mathematical ideas using
language, efficient tools, appropriate units,
and graphical, numerical, physical, or
algebraic mathematical models.
The amount of material needed to make a basketball
best represents the ball’s A
volume
B
surface area
C
circumference
D
perimeter
Correct Answer - B
April 2004 #23
A middle school band must be at the contest site by 8:00
A.M. to participate in a competition. It takes 45 minutes
to load the bus with the band’s equipment, and it takes 1
hour 45 minutes to travel to the contest site. What should
be the first step in determining the band’s departure time?
A Add the time it takes to travel to the contest site to 8:00 A.M.
B Add the time it takes to load the bus to 8:00 A.M.
C Add the travel time and loading time together
D Subtract the loading time from the travel time
Correct Answer - C
April 2004 #51
The function g(x) = 1.25 + 0.70(x – 1) represents the charge
for parking in the mall garage for x number of hours. Which
statement best represents the formula for this charge?
A
The charge consists of a set fee of $1.25 plus $0.70
for every hour parked.
B
The charge consists of a flat rate of $0.70 for every
hour parked.
C
The charge consists of $1.25 for the first hour parked
and $0.70 for each additional hour.
D
The charge consists of $1.25 for every hour parked
plus a set fee of $0.70.
Correct Answer - C
Spring 2003 #15
Which problem is best represented by the number sentence
19 + 3(12 – x) = 40?
F
Ricardo spent $19, and Lydia spent 3 times $12 less
than Ricardo. Together they spent $40. How much
did Lydia spend?
G
Gail earned $19 baby-sitting and mowed 3 lawns in
less than 12 hours. She earned a total of $40. How
much did she earn per lawn?
H
Juan earned $19 baby-sitting and sold 3 boxes of
apples for $12 each. Now he has $40. How much did
he earn?
J
Denise paid $19 for 1 regularly priced item and
bought 3 items on sale that were regularly priced at
$12. She spent $40 in all. What was the price
reduction on the 3 sale items?
Correct Answer - J
Spring 2003 #22
A store sells milk in two different containers. The first
container is a rectangular prism that has a height of 8
inches and a square base with a side length of 2 inches.
The other container is a cylinder with a radius of 1.75
inches and a height of 8 inches. Which best describes
the relationship between the two containers?
A
The prism has the greater volume.
B
The cylinder has the greater volume.
C
The volumes are equivalent.
D
The volumes cannot be determined.
Correct Answer - B
Spring 2003 #33
(8.16) Underlying processes and
mathematical tools. The student
uses logical reasoning to make
conjectures and verify conclusions.
The student is expected to
(A) make conjectures from patterns or
sets of examples and nonexamples;
The integers 1881, 353, 2002, and 787 are
palindrome integers. Which of the following is also
a palindrome integer?
F
1961
G
828
H
2525
J
783
Correct Answer - G
April 2006 #24
The figure below shows a partial view of Pascal’s triangle.
Which row of numbers best represents the seventh row in
Pascal’s triangle?
F
1 5 10 10 5 1
G
1 6 15 20 15 6 1
H
1 7 21 35 35 21 7 1
J
1 8 28 56 70 56 28 9 1
Correct Answer - G
April 2004 #12
Mr. Collins invested some money that will double in
value every 12 years. If he invested $5,000 on the day
of his daughter’s birth, how much will the investment
be worth on his daughter’s 60th birthday?
A
$300,000
B
$160,000
C
$80,000
D
$320,000
Correct Answer - B
April 2004 #15
The table shows the
number of sides and
diagonals in certain
polygons. Based on
the table, how many
diagonals should a
9-sided convex
polygon have?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
Correct Answer - 27
April 2004 #21
Which of the
following is a
valid
conclusion
based on the
diagram?
A All rhombuses are squares.
B All rhombuses are rectangles.
C All quadrilaterals are parallelograms.
D All rectangles are parallelograms.
Correct Answer - D
April 2004 #25
(8.16) Underlying processes and
mathematical tools. The student
uses logical reasoning to make
conjectures and verify conclusions.
The student is expected to
(B) validate his/her conclusions using
mathematical properties and
relationships.
If a < b and b = c, which statement must be true?
A
The values of a, b, and c are positive.
B
The values of a, b, and c are negative.
C
The value of a is less than the value of c.
D
The value of a is greater than the value of c.
Correct Answer - C
April 2006 #3
Line t intersects parallel lines l1 and l2, as shown below.
According to the information provided, which of the
following pairs of angles are not always congruent?
A Same-side interior
angles 4 and 5
B Alternate interior
angles 3 and 5
C Corresponding
angles 2 and 6
D Vertical
angles 5 and 7
Correct Answer - A
April 2006 #49
Sean is an Algebra I student who believes that
xy2 = (xy)2. Rudy informs Sean that this theory
is not always true. Which pair of values for x
and y could Rudy use to disprove Sean’s theory?
F
x = 0 and y = 2
G
x = 1 and y = 2
H
x = 2 and y = 0
J
x = 2 and y = 1
Correct Answer - J
April 2004 #28
If the variables x and y are related so that x – y > x + y,
which statement must be true?
F
The variable x is greater than the variable y.
G
The variable x is a negative number.
H
The variable y is a negative number.
J
The variable y is a positive number.
Correct Answer - H
Spring 2003 #28