9thGrade TAKS Correlation of 2003, 2004, & 2006
TAKS / Student Expectations
Obj. 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.
b.1.A / The student describes independent and dependent quantities in functional relationships.
Spring 2003 / Spring 2004 / Spring 2006
42For 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 The time traveled depends on the distance traveled.
G* The distance traveled depends on the time traveled.
H The speed of the car depends on the distance traveled.
J The speed of the car depends on the time traveled. / 41 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.
b.1.B / The student [gathers and records data, or] uses data sets, to determine functional (systematic) relationships between quantities.
49 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?
/ 41 Which equation could be used to generate thistable of values?
50Which 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 x 2 8 / 25 In many parades, flowers are used to decorate the floats. The table below shows the numberof 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
b.1.C / The student describes functional relationships for given problem situations and writes equations or inequalities to answer questions arising from the situations.
45 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?
/ / 30 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
b.1.D / The student represents relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities.
- 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)?
/ 24 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 rent n videos?
/ 5 Which inequality best describes the graph shown below?
b.1.E / The student interprets and makes inferences from functional relationships
25 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 thanx.
D As the value of x increases, the value of y decreases. / 46Which graph best represents the relationship between the height of a burning candle and the amount of time that passes as the candle burns?
/ 37 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
Obj. 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.
b.2.A / The student identifies and sketches the general forms of linear (y = x) andquadratic (y = x2) parent functions.
7Which is the best representation of the function y x?
b.2.B / For a variety of situations, the student identifies the mathematical domains and ranges and determines reasonable domain and range values for given situations.
Not Yet Tested / Not Yet Tested / Not Yet Tested
b.2.C / The student interprets situations in terms of given graphs [or creates situations that fit given graphs].
48 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.
/ 47Which 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 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 $5000worth of merchandise. / 51Look at the graph below.
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.
b.2.D / In solving problems, the student [collects and] organizes data, [makes and] interprets scatterplots, and models, predicts, and makes decisions and critical judgments.
11 Monica collected data on the ages and heights of a random sample of sixth-, seventh-, and eighth-grade 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 C* A positive correlation
B No correlation D A constant correlation / 33 The graph below 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 on the graph?
A Negative trend
B Positive trend
C Constant trend
D No trend
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.3.A / The student uses symbols to represent unknowns and variables
19 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?
/ 45A class consists of 8 freshmen and22 sophomores. Freshmen had an average ofx points on a test, while sophomores had anaverage of y points. Which expression gives the average test score per student for theentire class?
/ 6 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
b.3.B / Given situations, the student looks for patterns and represents generalizations algebraically.
43 Sue wants to write an expression that willalways produce an even integer. Which of the following will always produce an even integerfor any given integer, n?
A 2n + 1
B 2n 1
C n + 2
D* 2n
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.4.A / The student finds specific function values, simplifies polynomial expressions, transforms and solves equations, and factors as necessary in problem situations.
/
F* 3x + 2
G 2x + 4
H 2x + 2
J 3x 2 / 16 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 6x 2+ 30x + 5
G 6x 2+ 13x + 5
H 10x + 12
J 5x + 6
b.4.B / The student uses the commutative, associative, and distributive properties to simplify algebraic expressions.
Obj. 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.
c.1.A / The student determines whether or not given situations can be represented by linear functions.
Not Yet Tested / Not Yet Tested / Not Yet Tested
c.1.C / The student translates among and uses algebraic, tabular, graphical, or verbal descriptions of linear functions.
41 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 + 6 / 13 Which function includes the data set {(2, 4), (6, 6), (12, 9)}?
/ 15 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
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.2.A / The student develops the concept of slope as rate of change and determines slopes from graphs, tables, and algebraic representations.
39 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 / 19What is the slope of the linear function shown in the graph?
/ 17 What is the slope of the line that contains the
coordinate points (8, 3) and (2, 7)?
c.2.B / The student interprets the meaning of slope and intercepts in situations using data, symbolic representations, or graphs.
34 The line segment on the graph shows thealtitude of a landing airplane from the time itswheels are lowered to the time it touches theground. Which of the following best describesthe slope of the line segment?
F The plane descends about 1 foot per8 seconds.
G* The plane descends about 8 feet persecond
H The plane descends about 1 foot per2 seconds.
J The plane descends about 2 feet persecond. / 11 A small business purchased a van to handle its delivery orders. The graph below shows the value of thisvan 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.
c.2.C / The student investigates, describes, and predicts the effects of changes in m and b on the graph of y = mx + b.
18The 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?
/ 12 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).
c.2.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.
44Which linear function includes the points
(–3, 1) and (–2, 4)?
/
c.2.E / The student determines the intercepts of linear functions from graphs, tables, and algebraic representations.
42 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) / 19 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)
c.2.F / The student interprets and predicts the effects of changing slope and y-intercept in applied situations.
Not Yet Tested / Not Yet Tested / Not Yet Tested
c.2.G / The student relates direct variation to linear functions and solves problems involving proportional change
2 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
Obj. 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.
c.3.A / The student analyzes situations involving linear functions and formulates linear equations or inequalities to solve problems.
30 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 H g 2r
G g r 2 J r g + 2
50 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 H m 2 + 3c
G* c 3 + 2m J c 2 + 3m / 7 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 C* 9245 475 + 85t
B 9245 85(t + 475) D 9245 (475 + 85) / 38 Brandon has a budget of $58 to spend onclothes. The shirts he wants to buy are on salefor $9 each, and the pair of pants he wantscosts $21. All prices include tax. Whichinequality could be used to determine s, the
maximum number of shirts Brandon can buy if he also buys the pair of pants?
c.3.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.
8 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 6 h
G 5 h
H* 4 h
J 3 h / 17 If (x, 4) is a solution to the equation4x 5y 8, what is the value of x?
A 4.8
B* 3
C 1.6
D 7
36Thee graphs of the linear equations y 2x 3and 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 / 10 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
c.3.C / For given contexts, the student interprets and determines the reasonableness of solutions to linear equations and inequalities.
- The cost of renting a DVD at a certain store is described by the function
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 / 5 A recycling center pays $0.35 per pound ofglass that it receives. If students at FalconHigh School want to raise $500 in aglass-recycling project, what is a reasonablenumber of pounds of glass they must collect?
A 750 lb
B 175 lb
C 500 lb
D* 1500 lb / 27 Harris has $20.92 to spend on video-game rentals at a local video store. The storecharges $3.95 per video-game rental plus an8.125% tax. What is the maximum number ofvideo games that Harris can rent?
A 5 B 4 C 6 D 3
52 A florist plans to sell bouquets for $25 each. He wants to use only roses and carnations ineach bouquet and needs to charge thefollowing 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 theflorist 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
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.4.A / The student analyzes situations and formulates systems of linear equations to solve problems.
13 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. Ms. 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 C l + t 108
t 3l + 6 l 3t 6
B l + t 108 D* l + t 108
t 3l 6 l 3t + 6 / 39 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 thanbanana splits and made $156. Which system of equations could be used to find the numberof sundaes, s, and banana splits, b, that theshop sold that day?
A* 2s + 3b 156 C 2s + 3b 8
s b + 8 s b + 156
B 2b + 3s 156 D 2s + 3b 156
s + b 8 b s8 / 32 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 G 2l + 2w 90
l 5 – 4w l 5w – 4
H 2l + 2w 90 J 2l + 2w 90
l 4 – 5w l 4w – 5
Obj. 5 / The student will demonstrate an understanding of quadratic and other nonlinear functions.
A.d.1
A / 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.1.C / The student investigates, describes, and predicts the effects of changes in c on the graph of y = x 2+ c.
/
/ 1 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?
46The graph of the function y x23 is shown below.
If the graph of the original function is shifted5 units up, which of the following equationsbest represents the translation of each point
on the curve?
F y x 2 + 5 G y x 2 + 2
H y x22 J y x 28
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.
d.3.A / The student uses [patterns to generate] the laws of exponents and applies them in problem-solving situations.
Obj. 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.