Klein ISD
High School TAKS Short Course
Objective 2
A2A The student is expected to identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parent functions.
1.Which equation is the parent function of the graph represented below?
A y = xB y = x
Cy = x 2Dy =
2.Which is the best representation of the
function y = x ?
3.Which of these are characteristics of the parent function of a quadratic equation?
I. The parent function of a quadratic
equation has the vertex at (0, 0).
II. The parent function of a quadratic
equation opens downward.
III. The parent function of a quadratic
equation has the y-axis as its line of
symmetry.
AI and II onlyBI and III only
CII and III onlyDI, II, and III
4.Which equation is the parent function of a
quadratic equation?
AB y = x
CDy = x 2
A2B The student is expected to identify the mathematical domains and ranges and determine reasonable domain and range values for given situations both continuous and discrete.
5.What is the domain of the function shown on the graph?
6.The graph shows the path of a golf ball. What is the range of this function?
7.Mr. Maxwell asked his students to identify the
domain represented by the function graphed
below.
Which of the following student responses is correct?
A−5 ≤ x 6B−6 ≤ x ≤ 2
C−5 ≤ x < −2DNot here
A2C The student interprets situations in terms of given graphs or creates situations that fit given graphs.
8.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.
DMs. Cho will earn $700 if she sells $5000 worth of merchandise.
9. The graph below shows the decrease in the value of a personal computer over a period of 60 months.
Which is a reasonable conclusion about the value of this personal computer during the time shown on the graph?
A Its value at 18 months was twice its value at 36 months.
B Its value at 36 months was half its value at 54 months.
C It depreciated $200 every 12 months.
DIt depreciated $400 every 18 months.
10.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.
11.At the Dallas-FortWorthInternationalAirport, a DC-10, at 4500 feet, is descending toward the east runway at a rate of 150 feet per minute, and a 727, at 600 feet, is climbing at a rate of 75 feet per minute. Which graph shows when the two planes will be at the same altitude?
12.Look 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.
A2D The student is expected to collect and organize data, make and interpret scatterplots (including recognizing positive, negative or no correlation for data approximating linear situations); and model, predict and make decisions and critical judgments in problem situations.
13.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?
A 1B12
C16D20
14.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
B No correlation
CA positive correlation
D A constant correlation
15.The energy output from a chemical reaction is dependent on the amount of chemicals used. The table shows this relationship.
What is a reasonable amount of energy output from the reaction of 32 moles of the chemicals?
A77 joulesB92 joules
C110 joulesD128 joules
16.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 trendB Positive trend
C Constant trendD No trend
A3A The student is expected to use symbols to represent unknowns and variables.
17.A class consists of 8 freshmen and 22 sophomores. Freshmen had an average of x points on a test, while sophomores had an average of y points. Write an expression that gives the average test score per student for the entire class?
18.Mrs. Franklin received a 7% raise at her job. If she was earning x dollars per year before, how much is she earning now?
A x + 7Bx + 0.07
Cx + 0.7xDx + 0.07x
19.Let a represent the average speed in miles per hour a car traveled on a trip. Let f(t) represent the distance in miles the car had traveled t hours after the beginning of the trip. The function f(t) is best represented by _?_.
A t 2+ aB at 2
C t + a Dat
20.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?
21.Which equation best represents the area, A, of the rectangle below?
A A = 2x + 2(x + c)
B A = x2+ (x + c) 2
CA = x(x + c)
D A = 2x(x + c)
22.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?
Ap - 0.15pBp + 0.15p
Cp - 15pD 0.15p
23.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?
A440x − 30B(30 + x)440
C(30 − 440)xD30x − 440
24.A sporting-goods store sold a total of 80
backpacks at the beginning of a new school
year. Each backpack sold for either $35 or $50, not including tax. If x represents the number of $35 backpacks the store sold, which
expression represents the total amount of money in dollars from the sales of the two kinds of backpacks, not including tax?
A35x + 50(x − 80)
B50x + 35(80 − x)
C35x + 50(80 − x)
D50x + 35(x − 80)
A3B The student is expected to look for patterns and represent generalizations algebraically.
25.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 + 1B 2n − 1
C n + 2D2n
26.What expression can be used to find the
values of s(n) in the table below?
n / 1 / 2 / 3 / 4 / 5 / 6s(n) / 5 / 8 / 11 / 14 / ? / ?
27.The squares below show a pattern.
Which expression can be used to determine the number of squares at stage n?
A5n − 3B4n − 2
C2n 2Dn 2+ n
A4A The student is expected to find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations.
28.The area of a rectangle is 3x2+ 14x + 8, and the width is x + 4. Which expression best describes the rectangle’s length?
A 3x + 2B2x + 4
C2x + 2D3x − 2
29.The area of a rectangle is given by the
equation 2L 2− 5L = 18, in which L is the
rectangle’s length. What is the length of the rectangle?
A1.5B2
C4.5D6
30.In the equation y = 2x 2− 5x − 12, what is the value(s) of x when y = 0?
31.After a ball is dropped, the rebound height of each bounce decreases. The equation
y = 5(0.8) xshows 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?
32. Solve the equation 2a − 6 + 5a = 3a + 10 for a.
33.Tammy drew a floor plan for her kitchen, as shown below.
Which expression represents the area of Tammy’s kitchen floor in square units?
A6x2+ 30x + 5
B6x2+ 13x + 5
C10x + 12
D5x + 6
34.The graph below shows the amount of force
needed to stretch a certain spring to various
distances.
Which of the following best represents the
difference between the amount of force in
pounds needed to stretch the spring to
10 inches and the amount needed to stretch
it to 4 inches?
A6B14
C30D70
A4B The student is expected to use commutative, associative, and distributive properties to simplify algebraic expressions.
35.Simplify the algebraic expression
5(x + 3)(x + 2) − 3(x 2+ 2x + 1).
36.Which expression is equivalent to
5(x2− 4x) − (x + 1)?
A 5x 2− 21x + 1
B 5x 2− 5x − 1
C5x 2− 21x − 1
D 5x2− 5x + 1
37.Which expression is equivalent to
(3x − 15y) + (9y − 11x)?
A−9x − yB 11x − 21y
C 10x − 4yD −9x − 26y
38.Simplify and factor the given expression
(5n − 2)3n − (5n − 2)(n − 1)?
39.Simplify the expression 6 − 3(5x + 2) − 10x.
A−25xB5x + 6
C8 − 25xD12 − 25x
40.Simplify the polynomial below.
−3x(7x − 4) + 6x − (13 − 24x 2)
A3x 2+ 18x − 13
B−24x 2− 15x − 17
C−24x 2+ 10x − 17
D3x 2+ 18x + 13
Klein ISD Department of Curriculum and Instruction February 2007
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