Austin Independent School District
Department of Curriculum and Instruction
Mathematics
Numerical Fluency
Algebra 1
Mathematics
3rd Six-Weeks
2009-2010
Problems #3-1 through #3-20
Austin ISD Secondary
Mathematics Department
3rd 6 Weeks 2009
Austin ISD Mathematics Department
2009
3rd Six Weeks’ Numerical Fluency Specifications
Content: Mathematics
Algebra 1
NF Problem
TEKS
SEs
TAKS
OBJ
Problem Source
Problem #3-1
A.4B
2
TAKS Test 2003 Grade 10 #10 adj.
A
Problem #3-2
4
3
TAKS Test 2004 Grade 9 #40 adj.
G
Problem #3-3
A.7C
A.6G
TAKS Test 2004 Exit #45 adj.
C
Problem #3-4
A.7B
4
TAKS Test 2003 Grade 10 #34 adj.
F
Problem #3-5
Problem #3-6
A.7B
A.1C
4
1
TAKS Test 2003 Grade 9 #6 adj.
TAKS Test 2006 Grade 9 #30 adj.
C
H
Problem #3-7
A.7B
4
AISD generated
D
Problem #3-8
A.4A
2
TAKS Test 2003 Exit #21 adj.
4
Problem #3-9
A.7B
4
TAKS Test 2006 Grade 9 #10 adj.
J
Problem #3-10
A.1C
1
9th Grade TAKS Test 2003 #45 adj.
A
Problem #3-11
A.1D
1
9th Grade TAKS 2006 #5 adj.
Problem #3-12
A.7B
4
AISD generated
A
C
Problem #3-13
A.7B
4
AISD generated
A
Problem #3-14
Problem #3-15
A.7B
4
AISD generated
C
A.4A
2
Exit Level 2006 #18 adj.
C
Problem #3-16
A.7B
4
TAKS Study Guide Gr. 11 #33
D
Problem #3-17
A.7A
4
TAKS Study Guide Gr. 11 #32
B
Problem #3-18
A.7C
4
TAKS Study Guide Gr. 11 #36 mod.
B
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Answer
3rd 6 Weeks 2009
Numerical Fluency Problem #3-1
Simplify the expression
3(x + 1) − 2(3x + 7)
A -3x − 11
B -3x − 10
C -3x − 8
D -3x + 17
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-2
Justify your solution.
The cost of renting a movie at Movies R Us is
described by the function
f(x) = 2.50x + 2
in which f(x) is the cost and x is the time in
days. If Lupe has $10 to spend, what is the
maximum number of days that she can rent a
movie not including tax?
E 1
F 2
G 3
H 5
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-3
Miko is a long distance runner. His coach
recorded the following data during a timed
practice period. If Miko continues to run at
the rate shown in the table, what is the
approximate distance in miles he will run in
189 minutes?
Time (minutes)
31.5
63
94.5
Distance (miles
3
6
9
A 12
B 15
C 18
D 21
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-4
What is the value of y if (3, y) is a solution to
the equation 9y = 18 + 3x?
F 3
G 1
H -1
J
Austin ISD Secondary
Mathematics Department
-11
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-5
Eastern Plumbing charged Mr. Johnson
$76.00 for a garbage disposal plus $65.00 per
hour that the plumber worked to install the
disposal. The total charge was $336.00. For
about how long did the plumber work to
install the garbage disposal under Mr.
Johnson’s sink?
A 6h
B 5h
C 4h
D 3h
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-6
Mrs. Garcia purchased an office desk and
chair for $950, including tax and interest. She
is paying for the furniture with monthly
payments of $75. If Mrs. Garcia has made m
payments, which equation best describes r,
the amount of the remaining balance?
F r = (950 − 75)m
G r = 75m + 950
H r = 950 − 75m
J
r = 75m − 95
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-7
Solve the expression for x
3(x + 1) = 2(3x + 4) - 2
A x = -3
B x= 1
3
C x = -1
D x=1
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-8
Solve the equation 2a − 6 + 5a = 3a + 10 for a.
Record your answer and fill in the bubbles on
your answer document. Be sure to use the correct
place value.
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-9
If (x, −1.2) is a solution to the equation
3x = 5y − 18, what is the value of x?
F 0.8
G 0.2
H −5
J
Austin ISD Secondary
Mathematics Department
−8
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-10
Work this problem and be able to explain the
process of how you solved this situation.
The Sanchez family budgeted $3000 for
their trip to the Grand Canyon. Their
budget consisted of $1200 for travel costs
and $100 per day for other expenses.
Which inequality represents the number
of days, d, the family could have stayed on
vacation?
A 1200 + 100d ≤ 3000
B 1200d + 100 ≥ 3000
C 1200d − 100 ≥ 3000
D 1200 – 100d ≤ 3000
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-11
Which inequality best describes the graph
shown below?
A y > − 4x + 5
3
B y ≤ − 3x + 5
4
C y ≥ − 3x + 5
D y<−x+5
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-12
Work this problem and be able to explain the
process of how you solved this situation.
x – 10 > -22
A x > -33
B x< -33
C x > -12
D x < -12
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-13
Work this problem and be able to explain the
process of how you solved this situation.
m
 100
12
A m ≤ 1200
B m ≥ 1200
C m ≤ 8.33
D m ≥ 8.33
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Mathematics Department
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Numerical Fluency Problem #3-14
Work this problem and be able to explain the
process of how you solved this situation.
 3(x  4) 21
A
x > -11
B
x < -11
C
x > 11
D
x < 11
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Numerical Fluency Problem #3-15
Work this problem and be able to explain the
process of how you solved this situation.
Which of the following is equivalent to
4x – 2y < 12?
A y < -2x – 6
B y < 2x – 6
C y > 2x – 6
D y > -2x + 6
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Numerical Fluency Problem #3-16
Which graph represents the solution set of
3x – 3y > 9?
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Numerical Fluency Problem #3-17
Work this problem and be able to explain the
process of how you solved this situation.
Fido’s vet has placed him on a diet; he is
allowed no more than 1000 calories a day.
Fido’s dry dog food has 200 calories per cup,
and his biscuits have 400 calories each.
Which inequality could be used to find d, the
number of cups of dry food, and b, the
number of biscuits, that Fido is allowed to eat
each day?
A
(200 + 400)(d + b) > 1000
B
200d + 400b ≤ 1000
C
(d +400)(b + 200) ≤ 1000
D
400d + 200b > 1000
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3rd 6 Weeks 2009
Numerical Fluency Problem #3-18
The science club members must raise at least $60 for a
field trip. To do so, they are selling chocolates for $3 a
box and mints for $2 a box.
If the inequality 3x + 2y ≥ 60 represents the possible
solutions to this problem, graph the inequality to find
which of the following points represents a reasonable
number of boxes of chocolates and boxes of mints that
the club members could sell to raise enough money for
their field trip?
A (11, 12)
C (14, 8)
B (12, 14)
D (10, 14)
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3rd 6 Weeks 2009