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Math_TAKS_TEKS_A.7.C

VIEWS: 20 PAGES: 5

									A.7 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.
2003 9th Grade
40) 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



2004 9th Grade
5) 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



2006 9th Grade
27) 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



2006 9th Grade
52) 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
A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear
equations and inequalities.
2009 9th Grade
9) Josh earns money by washing cars in his neighborhood. He spent $215 on supplies and charges $15 for each
car washed. Josh’s profit, p, can be represented by the function p = 15n − 215, where n represents the number of
cars that Josh washes. What is the minimum number of cars Josh must wash to make a profit?
A    14
B    29
C    15
D    Not here

2009 9th Grade
31) There are 8 sixth-grade classes and 195 sixth grade students at Edison Middle School. The equation
8s = 195 can be used to determines, the mean number of students per class. Based on the solution s = 24.375,
which of the following statements could be true?
A    There are 5 sixth-grade classes with 24 students each and 3 sixth-grade classes with 25 students each.
B    There are 7 sixth-grade classes with 24 students each and 1 sixth-grade class with 25 students.
C    There are 8 sixth-grade classes with 25 students each.
D    There are 8 sixth-grade classes with 24 students each.

2004 10th Grade
46) In 1998 the 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

2006 10th Grade
20) 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

2008 Released 10th Grade
12) The state of Texas has a sales tax rate of 6.25% for all taxable items. Cities in Texas can collect up to an
additional 2% sales tax on taxable items. If a customer purchased $1080 in merchandise, $225 of which is not
taxable, what is a reasonable range for the combined state and city taxes for this purchase?

A   $14 to $19
B   $17 to $53
C   $53 to $71
D   $67 to $90
A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear
equations and inequalities.
2009 10th Grade
22) The formula below can be used to convert temperatures in degrees Fahrenheit, F, to temperatures in
                         5
degrees Celsius, C. C = (F − 32)           On a certain day temperatures at the North Pole were between
                         9
−20°F and −15°F. Which of these is a reasonable temperature in degrees Celsius for that day at the North Pole?
F    −30°C
G    −22°C
H    −27°C
J    −11°C




2003 Exit
23) Valerie purchased x tubes of lipstick at $4 each and y bottles
of nail polish at $2 each. She spent less than $12, not including tax.
Use the grid below to graph the inequality 4x + 2y < 12.


Which point represents a reasonable number of lipsticks and bottles of
nail polish that Valerie purchased?

A   (1, 5)
B   (2, 3)
C   (1, 3)
D   (2, 2)
A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear
equations and inequalities.
2004 Exit
48) The amount of an employee’s weekly pay, p, including a bonus, can be represented by the inequality
6.00h + 100 < p < 6.50h + 125, where h represents the number of hours worked by the employee. If an
employee worked 25 hours, which of the following is a reasonable amount for that week’s pay?
F $118.75
G $250.00
H $272.50
J $290.25



2004 Summer Exit
58) A waitress at a restaurant calculated her daily pay, p, using the equation p = 0.15f + 17.60, where f is the
total amount of food purchased by customers. If the waitress sold between $600.00 and $720.00 in food, then
the amount of her daily pay should be between —
F $40.00 and $48.00
G $57.60 and $65.60
H $90.00 and $108.00
J $107.60 and $125.60



2005 October Exit
59) The Future Teachers of America club sold cookies for $0.25 each and cupcakes for $0.50 each to raise
money to attend the state convention. If the club raised $24.75 from selling cookies and cupcakes during
lunchtime, which of the following is a reasonable combination of the number of cupcakes and cookies that were
sold?
A    24 cookies and 51 cupcakes
B    50 cookies and 25 cupcakes
C    51 cookies and 24 cupcakes
D    35 cookies and 30 cupcakes



2006 February Exit
39) Hoaung went to a doughnut shop where jelly-filled doughnuts cost $0.50 including tax and glazed
doughnuts cost $0.30 including tax. If Hoaung has $2 to spend and wants to purchase at least one of each of
these two kinds of doughnuts, which of the following does not represent a reasonable combination of doughnuts
that he could purchase?
A    2 jelly-filled doughnuts and 2 glazed doughnuts
B    2 jelly-filled doughnuts and 3 glazed doughnuts
C    3 jelly-filled doughnuts and 2 glazed doughnuts
D    1 jelly-filled doughnut and 5 glazed doughnuts
2006 Exit
55) Lisa wants to make a long-distance telephone call to her friend. She does not want to spend more than
$5.00 on the telephone call. If there is a $0.50 connection fee and a charge of $0.11 per minute, which best
represents the number of minutes that Lisa can talk to her friend?




2006 Summer Exit
59) Ms. Collins’s car traveled between 25 and 29 miles per gallon of gasoline on a recent road trip. If the road
trip was 614 miles, which could be the number of gallons of gasoline that Ms. Collins used during this road
trip?
A    23 gal
B    29 gal
C    21 gal
D    25 gal



2008 Released Exit
11) Mr. Benítez wants to buy a carton of oranges for $32.50. Each orange weighs about 4.6 ounces and will be
packed into a carton that holds between 18 and 22 pounds. What is the greatest number of oranges that the
carton can hold without its weight limit being exceeded?
A    76
B    62
C    82
D    101



2009 Exit
13) Ms. Rodríguez plans to order from 20 to 26 books for her class. The prices of the books she plans to order
range from $4.95 to $12.95 each. If the publisher charges a shipping fee of $0.50 per book ordered, which of the
following is not a reasonable price for the books, including shipping?
A    $145
B    $245
C    $345
D    $445

								
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