Download Algebra Semester Exam Review

Algebra Semester Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model
this situation if c = total cost and h = number of hours.
a. c = 18h
b. c – 18 = h
c. h = 18c
d.
____
2. What equation models the data in the table if d = number of days and c = cost?
Days
2
3
5
6
a. d = 22c
Cost
44
66
110
132
b. c = 22d
c. c = d + 22d
d. c = d + 22
____
3. An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral
triangle if P = perimeter and s = length of a side?
a. s = 3P
b. P = 3s
c. P = 3 + s
d. P = 3(s + s + s)
____
4. A rational number is ____ a real number.
a. always
b. sometimes
____
5. Write the number 2.4 in the form
a.
b.
c. never
, using integers, to show that it is a rational number.
c.
d.
____
6. Name the set(s) of numbers to which 1.68 belongs.
a. rational numbers
b. natural numbers, whole numbers, integers, rational numbers
c. rational numbers, irrational numbers
d. none of the above
____
7. Name the set(s) of numbers to which –5 belongs.
a. whole numbers, natural numbers, integers
b. rational numbers
c. whole numbers, integers, rational numbers
d. integers, rational numbers
____
8. Which set of numbers is the most reasonable to describe the number of desks in a classroom?
a. whole numbers
c. rational numbers
b. irrational numbers
d. integers
____
9.
a. 2.8
b. –2.8
____ 10. Which of the scatter plots shows a positive correlation?
a.
c.
y
y
6
6
5
5
4
4
3
3
2
2
1
1
1
b.
2
3
4
5
6
x
d.
y
6
5
5
4
4
3
3
2
2
1
1
2
3
4
5
6
x
2
3
4
5
6
x
1
2
3
4
5
6
x
y
6
1
1
____ 11. Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the
second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year.
a. Find the mean, median, and mode of this data.
b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth
year.
a. mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is
representative of the entire data set.
b. mean = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it
is not skewed by the high outlier.
c. mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is
representative of the entire data set.
d. mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not
skewed by the high outlier.
____ 12. Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her
last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth
and sixth tests?
a. fifth test = 85; sixth test = 89
c. fifth test = 90; sixth test = 86
b. fifth test = 85; sixth test = 81
d. fifth test = 89; sixth test = 85
____ 13. Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to
determine your grade for the term. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your
grade to the nearest whole number, and which measure of central tendency should you choose?
a. 87; the median
b. 89; the mean
c. 91; the mode
d. 89; the mode
____ 14. Make a stem-and-leaf plot for the following set of data.
1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8
a.
c.
Stem
Leaf
1
1 3
1
0.1 0.3 0.8
2
2 6 8
2
0.2 0.6 0.8
3
1 8
3
0.1 0.8
1  1 means 1.1
b.
Stem
Leaf
Stem
Leaf
1  0.1 means 1.01
d.
Stem
Leaf
1
1 3 8
1
8 3 1
2
2 6 8
2
8 6 2
3
1 8
3
8 1
1  1 means 1.1
1  8 means 1.8
Write a function rule for each table.
____ 15.
Hours Worked
2
4
6
8
Pay
$15.00
$30.00
$45.00
$60.00
a. p = 7.50h
b. p = 15h
c. p = h + 15
d. h = 7.50p
____ 16.
Days
1
2
3
4
a. c = 22d + 12
Cost to Rent a
Truck
34
56
78
100
c. c = 22d + 22
b. c = 12d + 22
d. c = 22d
____ 17. The cost of playing pool increases with the amount of time using the table. Identify the independent and
dependent quantity in the situation.
a. time using table; cost
b. cost; time using table
c. number of games; cost
d. cost; number of players
____ 18. The French club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between
50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain
and range values.
a. number of cars; money raised; 50 to 75
cars; $500 to $750
b. money raised; number of cars; $500 to
$750; 50 to 75 cars
____ 19. Evaluate
a. 4
for x = –2 and y = 3.
b. 8
c. number of cars; money raised; $500 to
$750; 50 to 75 cars
d. money raised; number of cars; 50 to 75
cars; $500 to $750
c. –4
d. –8
____ 20. The product of two negative numbers is ____ positive.
a. always
b. sometimes
c. never
____ 21. For every real number x, y, and z, the statement
a. always
b. sometimes
is ____ true.
c. never
____ 22. You roll a standard number cube. Find P(number greater than 1)
a. 6
b. 5
c. 1
5
6
6
d. 1
Refer to the spinner below.
____ 23. Find P(even and not shaded).
a.
b.
c. 0
d.
____ 24. You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the
probability that you will not select a number which is divisible by 3?
a.
b.
c.
d.
____ 25. In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at
random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if
necessary.
a. 74.4%
b. 0.8%
c. 99.2%
d. 1.1%
____ 26. You toss a coin and roll a number cube. Find P(heads and an even number).
a.
b.
c.
d. 1
____ 27. Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You
return the first marble to the bag and then choose again. Find P(red and blue).
a. 3
b. 7
c. 1
d. 3
5
10
2
50
Solve the equation.
____ 28.
____ 29.
a. –80
b. 16
c. –16
d. 1.8
3
x+5=8
7
a. 7
b.
c. 7
d.
1
2
7
7
2
3
____ 30. 11 = –d + 15
a. 11
b. –4
c. 4
d. 6
____ 31. 37 – 18 + 8w = 67
a. –6
b. 4
c. 7
d. 6
____ 32. 3(y + 6) = 30
a. 5
b. 16
c. 4
d. –16
a. –8
b. 2
c. –10
d. –4
a. 3
b. 0
c. –9
d. –10
b. 1
c. –1
d. –3
____ 33.
____ 34.
____ 35. 5x – 5 = 3x – 9
a. –2
____ 36. Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings
account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give
his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings
account before he can pay back his sister and buy the bike?
a. 25 weeks
b. 19 weeks
c. 22 weeks
d. 21 weeks
____ 37. Find the measure of
x°
68°
26°
. (Hint: The sum of the measures of the angles in a triangle is
.)
a.
b.
c.
d. 8
____ 38. The perimeter of the rectangle is 24 cm. Find the value of x.
3 cm
3x cm
a. 3
b. 12
c.
d. 18
8
3
____ 39. a. Find the value of a.
b. Find the value of the marked angles.
(4a + 12)°
(3a + 32)°
not drawn to scale
a. 22; 100º
b. 19; 88º
c. 20; 92º
d. 24; 108º
____ 40. Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
a.
c.
; 2 min
; 3.5 min
b.
; 1.5 min
d.
; 2.25 min
____ 41. A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute?
a. 5,280 ft/min
c. 316,800 ft/min
b. 3,600 ft/min
d. 2,580 ft/min
____ 42. $7.80/hour = ____ cents/minute?
a. 13
b. 8.8
c. 780
d. 4.7
c. 110
d. 1.8
Solve the proportion.
____ 43.
a. 55
b. 2.2
____ 44. A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.
a. 31 gallons of gas
c. 115 gallons of gas
b. 121 gallons of gas
d. 25 gallons of gas
____ 45. A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle
shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5
ft. tall, how tall is the tree?
Drawing not to scale
a. 18 ft
b. 12.5 ft
c. 15 ft
d. 20 ft
____ 46. The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of
the two integers.
a.
;
;
b.
;
;
c.
;
;
d.
;
;
____ 47. Simplify
a.
144
7
.
b.
12
49
____ 48. Is
rational or irrational?
a. rational
c.
49
12
d.
12
7
b. irrational
Find the length of the missing side. If necessary, round to the nearest tenth.
____ 49.
c
5
14
a. 361
b. 19
c. 38
d. 14.9
Which number is a solution of the inequality?
____ 50. b > 11.3
a. 15
b. 9
c. –14
d. 4
b. 5
c.
d. 6
____ 51.
a.

9
11
6
11
Graph the inequality.
____ 52. d < 2
a.
c.
–5
–4
–3
–2
–1
0
1
2
3
4
5
b.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
d.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
____ 53.
a.
b.
c.
d.
Solve the inequality. Then graph your solution.
____ 54.
a. h  21
–140 –120 –100 –80
c.
–60
–40
–20
0
20
h 7
1
3
0
b.
h ³ 2
5
10
–140 –120 –100 –80
–10
–5
–60
–40
–20
0
20
0
____ 55. –2w < –18
a. w > 9
c. w < 9
–6
–4
–2
0
2
4
6
–12
–8
8
b. w < –16
–16
20
d. h  21
1
3
–15
–8
15
–6
–4
–2
0
2
4
6
8
d. w > –16
–8
–4
0
4
8
12
16
–16
–12
–8
–4
0
4
8
12
16
–8
–6
–4
–2
0
2
4
6
8
–6
–4
–2
____ 56.
a.
c.
–8
–6
–4
–2
0
2
4
6
8
b.
d.
–8
–8
–6
–4
–2
0
2
4
6
0
2
4
6
8
8
____ 57.
a. –36 < x < 14
–40
–30
–20
c. –17 > x > 8
–10
0
10
20
30
b. –17 < x < 8
–20
–15
–10
–20
40
–15
–10
–5
0
5
10
15
20
–4
–2
0
2
4
6
8
d. –8 < x < 8
–5
0
5
10
15
20
–8
–6
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change
means for the situation.
____ 58.
Time (days)
a.
b.
Cost ($)
3
75
4
100
5
125
6
150
dollars per day; the cost is $25 for each day.
dollars per day; the cost is $25 for each day.
c.
dollars per day; the cost is $75 for each day.
d.
dollars per day; the costs $1 for 150 days
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change
means for the situation.
____ 59.
Resale Value of a Refrigerator
600
Amounts ($)
500
400
300
200
100
3
6
9
12
15
18
Years after original purchase
a. –100; value drops $100 every year.
b.
; value drops $100 every 3 years.
c. –3; value drops $3 every year.
d. –1; value drops $1 every year.
Find the slope of the line.
____ 60.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.

1
4
b.
1
4
c.
4
Find the slope of the line that passes through the pair of points.
d. 4
____ 61. (1, 7), (10, 1)
a. 3
2
b.

c.
2
3

3
2
d.
2
3
d.
4
; –3
3
State whether the slope is 0 or undefined.
y
____ 62.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a. 0
b. undefined
Find the slope and y-intercept of the line.
____ 63.
4
x–3
3
a.
4
3;
3
y=
____ 64. 14x + 4y = 24
a.
2
 ;6
7
b.
7
 ;6
2
b.
–3;
4
3
c.
3
;3
4
c.
7 1
 ;
2 6
d. 14; 24
Write an equation of a line with the given slope and y-intercept.
____ 65. m = 1, b = 4
a. y = 4x + 1
b. y = x – 4
c. y = –1x + 4
d. y = x + 4
Write the slope-intercept form of the equation for the line.
____ 66.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
x
5
–2
–3
–4
–5
a. y = 3x  1
c.
1
x 1
3
d.
1
y= x 1
3
b. y = 3x  1
y=
Graph the equation.
____ 67. y + 2 = –(x – 4)
a.
–10 –8
–6
y
–4
10
5
8
4
6
3
4
2
2
1
–2
–2
2
4
6
8
10
x
–4
–4
–3
–2
–1
–1
–2
–6
–3
–8
–4
–10
–5
y
–6
–5
–4
b.
–10 –8
y
c.
5
8
4
6
3
4
2
2
1
2
4
6
8
10
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
10
–2
–2
1
–5
–4
–3
–2
–1
–1
–4
–2
–6
–3
–8
–4
–10
–5
____ 68. Identify the mapping diagram that represents the relation and determine whether the relation is a function.
a.
c.
The relation is a function.
The relation is not a function.
b.
d.
The relation is not a function.
The relation is a function.
____ 69. Evaluate
a. –11
for x = 3.
b. 1
c. –6
d. 11
Graph the function.
____ 70.
a.
c.
y
–4
y
4
4
2
2
–2
2
4
x
–4
–2
2
–2
–2
–4
–4
4
x
b.
d.
y
–4
y
4
4
2
2
–2
2
4
–4
x
–2
–2
–2
–4
–4
2
4
x
2
4
x
2
4
x
____ 71.
a.
c.
y
–4
4
4
2
2
–2
2
4
–4
–4
d.
f(x)
–8
y
4
4
2
2
–2
2
4
x
–4
–2
–2
–2
–4
–4
Write a function rule for the table.
x
2
–2
–2
y
____ 72.
–4
x
–2
b.
–4
y
3
4
5
–12
–16
–20
a.
b.
c.
d.
Find the constant of variation k for the direct variation.
____ 73.
x
–1
0
2
5
f(x)
2
0
–4
–10
a. k = –1.5
b. k = 2
c. k = –0.5
d. k = –2
____ 74. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon.
Write a direct variation to model the total cost c for g gallons of gas.
a.
b.
c.
d.
____ 75. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 16 hours of
work, the paycheck is $124.00. Write an equation for the relationship between hours of work and pay.
a.
b.
c.
d.
____ 76. Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 6 when x = 8
a.
b. y = 2x
c.
d.
y=
y=
x=
The pair of points is on the graph of an inverse variation. Find the missing value.
____ 77. (2.4, 3) and (5, y)
a. 1.44
b. 1
c. 6.25
d. 0.69
____ 78. The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the
distance at 30 miles per hour, how long will it take to drive the same distance at 50 miles per hour?
a. 60 hours
c. 750 hours
b. 1.2 hours
d. about 3.33 hours
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
____ 79. –5, –10, –20, –40, . . .
a. multiply the previous term by 2; –80, –160
b. add –5 to the previous term; –35, –30
c. subtract 5 from the previous term; –80, –160
d. multiply the previous term by –2; 80, –160
Determine whether the function rule models discrete or continuous data.
____ 80. A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the
number purchased d.
a. discrete
b. continuous
____ 81. A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of
the peanuts to the number of pounds purchased p.
a. discrete
b. continuous
Short Answer
82. The population of an endangered animal species has been increasing. Make a scatter plot using the data given
in the table.
Year
1
2
3
4
5
6
Population
230
670
620
840
1400
1580
Pop.
2000
1800
1600
1400
1200
1000
800
600
400
200
1
2
3
4
5
6
Year
83. Bob and Nancy recorded their last ten rounds of golf scores in the stem-and-leaf plot below. Use measures of
central tendency to justify your answers.
a. Who is the better golfer? (A player with a lower score beats a player with a higher score.)
b. Is one golfer more consistent than the other? Explain.
Nancy Stem
9 8 7
7
8 6 5 5 2
8
1 0
9
Bob
5 9
3 3 3 8 9
0 3 7
7 5 = 75
84. Label each section of the graph.
85. Find the range of
for the domain {–3, –2, –1, 1}.
Other
86. Is the statement below true or false? If the statement is false, give a counterexample.
All real numbers are rational.
Algebra Semester Exam Review
Answer Section
MULTIPLE CHOICE
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A
PTS: 1
DIF: L2
REF: 1-1 Using Variables
1-1.2 Modeling Relationships With Equations
NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1
OH 9D6
TOP: 1-1 Example 3
algebraic expression | open sentence | modeling relationships | word problem | problem solving
B
PTS: 1
DIF: L2
REF: 1-1 Using Variables
1-1.2 Modeling Relationships With Equations
NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1
OH 9D6
TOP: 1-1 Example 4
algebraic expression | open sentence | modeling relationships
B
PTS: 1
DIF: L3
REF: 1-1 Using Variables
1-1.2 Modeling Relationships With Equations
NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1
OH 9D6
TOP: 1-1 Example 3
algebraic expression | open sentence | word problem | problem solving
A
PTS: 1
DIF: L3
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
KEY: rational numbers | real numbers | reasoning
C
PTS: 1
DIF: L3
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
KEY: rational numbers | word problem | reasoning
A
PTS: 1
DIF: L2
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
TOP: 1-3 Example 1
natural numbers | whole numbers | integers | rational numbers | irrational numbers
D
PTS: 1
DIF: L2
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
TOP: 1-3 Example 1
integers | rational numbers
A
PTS: 1
DIF: L2
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
TOP: 1-3 Example 2
whole numbers
A
PTS: 1
DIF: L2
REF: 1-3 Exploring Real Numbers
1-3.2 Comparing Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
TOP: 1-3 Example 5
absolute value
10. ANS: A
PTS: 1
DIF: L2
REF: 1-5 Scatter Plots
OBJ: 1-5.1 Analyzing Data Using Scatter Plots
NAT: NAEP 2005 D1a | NAEP 2005 D1b | NAEP 2005 D2h | NAEP 2005 A2c | ADP L.1.1 | ADP L.1.2 |
ADP L.1.5 | ADP L.2.3
STA: OH 9D2 | OH 9D6 | OH 10D2
TOP: 1-5 Example 2
KEY: correlation | trend line | scatter plot | ordered pair
11. ANS: D
PTS: 1
DIF: L3
REF: 1-6 Mean, Median, and Range
OBJ: 1-6.1 Finding Mean, Median, and Mode
NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 |
ADP L.1.3 | ADP L.1.4
STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5
TOP: 1-6 Example 1
KEY: mean-median-mode | multi-part question | measures of central tendency | problem solving | word
problem | outlier
12. ANS: D
PTS: 1
DIF: L3
REF: 1-6 Mean, Median, and Range
OBJ: 1-6.1 Finding Mean, Median, and Mode
NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 |
ADP L.1.3 | ADP L.1.4
STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5
TOP: 1-6 Example 2
KEY: mean-median-mode | measures of central tendency | problem solving | word problem | outlier
13. ANS: D
PTS: 1
DIF: L4
REF: 1-6 Mean, Median, and Range
OBJ: 1-6.1 Finding Mean, Median, and Mode
NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 |
ADP L.1.3 | ADP L.1.4
STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5
KEY: mean-median-mode | measures of central tendency | problem solving | word problem | outlier
14. ANS: B
PTS: 1
DIF: L2
REF: 1-6 Mean, Median, and Range
OBJ: 1-6.2 Stem-and-Leaf Plots
NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 |
ADP L.1.3 | ADP L.1.4
STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5
TOP: 1-6 Example 4
KEY: measures of central tendency | stem-and-leaf plot | decimals
15. ANS: A
PTS: 1
DIF: L2
REF: 1-4 Function Patterns
OBJ: 1-4.1 Writing a Function Rule
STA: OH 9P1 | OH 9P2
TOP: 1-4 Example 1
16. ANS: A
PTS: 1
DIF: L2
REF: 1-4 Function Patterns
OBJ: 1-4.1 Writing a Function Rule
STA: OH 9P1 | OH 9P2
TOP: 1-4 Example 2
17. ANS: A
PTS: 1
DIF: L2
REF: 1-4 Function Patterns
OBJ: 1-4.2 Relationships in a Function
STA: OH 9P1 | OH 9P2
TOP: 1-4 Example 3
18. ANS: A
PTS: 1
DIF: L2
REF: 1-4 Function Patterns
OBJ: 1-4.2 Relationships in a Function
STA: OH 9P1 | OH 9P2
TOP: 1-4 Example 3
19. ANS: A
PTS: 1
DIF: L3
REF: 2-2 Subtracting Rational Numbers
OBJ: 2-2.2 Applying Subtraction
NAT: NAEP 2005 N5e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.1.1 | ADP I.2.1 | ADP J.1.6
STA: OH 9N4
KEY: absolute value | real numbers
20. ANS: A
PTS: 1
DIF: L3
21.
22.
23.
24.
25.
26.
27.
28.
29.
REF: 2-3 Multiplying and Dividing Rational Numbers
OBJ: 2-3.1 Multiplying Rational Numbers
NAT: ADP I.1.1 | ADP I.1.3 | ADP J.1.6
STA: OH 9N3 | OH 9N4
KEY: real numbers | reasoning
ANS: A
PTS: 1
DIF: L3
REF: 2-4 The Distributive Property
OBJ: 2-4.1 Using the Distributive Property
NAT:
NAEP 2005 N3a
STA: OH 9N4 | OH 9P11
KEY: Distributive Property | real numbers | reasoning
ANS: B
PTS: 1
DIF: L2
REF: 2-6 Probability: Theoretical and Experimental Probability
OBJ: 2-6.1 Theoretical Probability
NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5
STA: OH 9D8 | OH 9D10 | OH 10D8
TOP: 2-6 Example 1
KEY: theoretical probability | ratio
ANS: A
PTS: 1
DIF: L2
REF: 2-6 Probability: Theoretical and Experimental Probability
OBJ: 2-6.1 Theoretical Probability
NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5
STA: OH 9D8 | OH 9D10 | OH 10D8
TOP: 2-6 Example 1
KEY: theoretical probability | ratio
ANS: D
PTS: 1
DIF: L3
REF: 2-6 Probability: Theoretical and Experimental Probability
OBJ: 2-6.1 Theoretical Probability
NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5
STA: OH 9D8 | OH 9D10 | OH 10D8
TOP: 2-6 Example 2
KEY: theoretical probability | complement of an event
ANS: B
PTS: 1
DIF: L2
REF: 2-6 Probability: Theoretical and Experimental Probability
OBJ: 2-6.2 Experimental Probability
NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5
STA: OH 9D8 | OH 9D10 | OH 10D8
TOP: 2-6 Example 4
KEY: experimental probability | quality control | problem solving | word problem
ANS: B
PTS: 1
DIF: L2
REF: 2-7 Probability: Probability of Compound Events
OBJ: 2-7.1 Finding the Probability of Independent Events
NAT: ADP L.4.4 | ADP L.4.5
STA: OH 9D9 | OH 9D10
TOP: 2-7 Example 1
KEY: theoretical probability | independent events | compound events
ANS: D
PTS: 1
DIF: L2
REF: 2-7 Probability: Probability of Compound Events
OBJ: 2-7.1 Finding the Probability of Independent Events
NAT: ADP L.4.4 | ADP L.4.5
STA: OH 9D9 | OH 9D10
TOP: 2-7 Example 2
KEY: compound events | independent events | theoretical probability | word problem | problem solving
ANS: A
PTS: 1
DIF: L2
REF: 3-1 Solving Two-Step Equations
OBJ: 3-1.1 Solving Two-Step Equations
NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-1 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | two-step equation
ANS: A
PTS: 1
DIF: L2
REF: 3-1 Solving Two-Step Equations
OBJ: 3-1.1 Solving Two-Step Equations
NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-1 Example 1
30.
31.
32.
33.
34.
35.
36.
37.
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | two-step equation | fractions
ANS: C
PTS: 1
DIF: L2
REF: 3-1 Solving Two-Step Equations
OBJ: 3-1.1 Solving Two-Step Equations
NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-1 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | two-step equation
ANS: D
PTS: 1
DIF: L2
REF: 3-2 Solving Multi-Step Equations
OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-2 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | multi-step equation
ANS: C
PTS: 1
DIF: L2
REF: 3-2 Solving Multi-Step Equations
OBJ: 3-2.2 Using the Distributive Property to Solve Equations
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-2 Example 4
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | multi-step equation | Distributive Property
ANS: C
PTS: 1
DIF: L2
REF: 3-2 Solving Multi-Step Equations
OBJ: 3-2.2 Using the Distributive Property to Solve Equations
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-2 Example 5
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | multi-step equation | Distributive Property | decimals
ANS: A
PTS: 1
DIF: L3
REF: 3-3 Equations With Variables on Both Sides
OBJ: 3-3.1 Solving Equations With Variables on Both Sides
NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP
K.2.3 STA:
OH 9P6
TOP: 3-3 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | multi-step equation | Distributive Property
ANS: A
PTS: 1
DIF: L2
REF: 3-3 Equations With Variables on Both Sides
OBJ: 3-3.1 Solving Equations With Variables on Both Sides
NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP
K.2.3 STA:
OH 9P6
TOP: 3-3 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | multi-step equation | equations with variables on both sides
ANS: D
PTS: 1
DIF: L4
REF: 3-1 Solving Two-Step Equations
OBJ: 3-1.1 Solving Two-Step Equations
NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
two-step equation | equivalent equations | inverse operations | solution of the equation | solving equations |
problem solving | word problem
ANS: D
PTS: 1
DIF: L2
REF: 3-2 Solving Multi-Step Equations
OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-2 Example 2
38.
39.
40.
41.
42.
43.
44.
45.
46.
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | two-step equation
ANS: A
PTS: 1
DIF: L3
REF: 3-2 Solving Multi-Step Equations
OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1
TOP: 3-2 Example 2
KEY: word problem | problem solving | solving equations | Distributive Property
ANS: C
PTS: 1
DIF: L3
REF: 3-3 Equations With Variables on Both Sides
OBJ: 3-3.1 Solving Equations With Variables on Both Sides
NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP
K.2.3 STA:
OH 9P6
TOP: 3-3 Example 1
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
equations with variables on both sides | equivalent equations | inverse operations | multi-step equation |
multi-part question
ANS: D
PTS: 1
DIF: L2
REF: 3-4 Ratio and Proportion
OBJ: 3-4.1 Ratios and Rates
NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 |
ADP K.8.1
STA: OH 9M1 | OH 9M2 | OH 9M5
TOP: 3-4 Example 3
KEY: conversion factor | multi-part question
ANS: A
PTS: 1
DIF: L3
REF: 3-4 Ratio and Proportion
OBJ: 3-4.1 Ratios and Rates
NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 |
ADP K.8.1
STA: OH 9M1 | OH 9M2 | OH 9M5
KEY: conversion factor | unit rate | word problem | problem solving
ANS: A
PTS: 1
DIF: L3
REF: 3-4 Ratio and Proportion
OBJ: 3-4.1 Ratios and Rates
NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 |
ADP K.8.1
STA: OH 9M1 | OH 9M2 | OH 9M5
KEY: conversion factor
ANS: A
PTS: 1
DIF: L2
REF: 3-4 Ratio and Proportion
OBJ: 3-4.2 Solving Proportions
NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 |
ADP K.8.1
STA: OH 9M1 | OH 9M2 | OH 9M5
TOP: 3-4 Example 4
KEY: proportion
ANS: D
PTS: 1
DIF: L2
REF: 3-4 Ratio and Proportion
OBJ: 3-4.1 Ratios and Rates
NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 |
ADP K.8.1
STA: OH 9M1 | OH 9M2 | OH 9M5
TOP: 3-4 Example 2
KEY: proportion | word problem | problem solving
ANS: D
PTS: 1
DIF: L2
REF: 3-5 Proportions and Similar Figures
OBJ: 3-5.2 Indirect Measurement and Scale Drawings
NAT: NAEP 2005 N4c | NAEP 2005 M2f | NAEP 2005 M2g | NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 |
ADP K.3 | ADP K.7
STA: OH 9M4
TOP: 3-5 Example 3
KEY: indirect measurement | similar figures | proportion | problem solving | word problem
ANS: D
PTS: 1
DIF: L2
REF: 3-6 Equations and Problem Solving
OBJ: 3-6.1 Defining Variables
NAT: NAEP 2005 M1h | NAEP 2005 A4c | ADP J.5.1
TOP: 3-6 Example 2
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
equivalent equations | inverse operations | multi-step equation | problem solving | word problem | consecutive
integers
47. ANS:
REF:
NAT:
STA:
KEY:
48. ANS:
REF:
NAT:
STA:
KEY:
49. ANS:
OBJ:
NAT:
STA:
KEY:
50. ANS:
OBJ:
TOP:
51. ANS:
OBJ:
TOP:
52. ANS:
OBJ:
TOP:
53. ANS:
OBJ:
TOP:
54. ANS:
REF:
OBJ:
NAT:
KEY:
55. ANS:
REF:
OBJ:
NAT:
KEY:
56. ANS:
OBJ:
NAT:
TOP:
KEY:
57. ANS:
REF:
OBJ:
NAT:
STA:
KEY:
58. ANS:
OBJ:
D
PTS: 1
DIF: L2
3-8 Finding and Estimating Square Roots
OBJ: 3-8.1 Finding Square Roots
NAEP 2005 N1d | NAEP 2005 N2d | ADP I.2.2 | ADP I.3 | ADP I.4.1
OH 9N2 | OH 9N3 | OH 9N4 | OH 9N5 | OH 10N1
TOP: 3-8 Example 2
square root | irrational numbers | rational numbers
B
PTS: 1
DIF: L2
3-8 Finding and Estimating Square Roots
OBJ: 3-8.1 Finding Square Roots
NAEP 2005 N1d | NAEP 2005 N2d | ADP I.2.2 | ADP I.3 | ADP I.4.1
OH 9N2 | OH 9N3 | OH 9N4 | OH 9N5 | OH 10N1
TOP: 3-8 Example 2
square root | rational numbers | irrational numbers
D
PTS: 1
DIF: L2
REF: 3-9 The Pythagorean Theorem
3-9.1 Solving Problems Using the Pythagorean Theorem
NAEP 2005 N3g | NAEP 2005 G3d | NAEP 2005 G3f | ADP I.4.1 | ADP K.1.1 | ADP K.1.2 | ADP K.5
OH 9G2
TOP: 3-9 Example 1
Pythagorean Theorem | right triangle
A
PTS: 1
DIF: L2
REF: 4-1 Inequalities and Their Graphs
4-1.1 Identifying Solutions of Inequalities
NAT: NAEP 2005 A3a | ADP J.3.1
4-1 Example 1
KEY: solution of the inequality | inequality
D
PTS: 1
DIF: L3
REF: 4-1 Inequalities and Their Graphs
4-1.1 Identifying Solutions of Inequalities
NAT: NAEP 2005 A3a | ADP J.3.1
4-1 Example 2
KEY: solution of the inequality | inequality
B
PTS: 1
DIF: L2
REF: 4-1 Inequalities and Their Graphs
4-1.2 Graphing and Writing Inequalities in One Variable NAT: NAEP 2005 A3a | ADP J.3.1
4-1 Example 3
KEY: graphing | inequality
B
PTS: 1
DIF: L2
REF: 4-1 Inequalities and Their Graphs
4-1.2 Graphing and Writing Inequalities in One Variable NAT: NAEP 2005 A3a | ADP J.3.1
4-1 Example 3
KEY: graphing | inequality
A
PTS: 1
DIF: L3
4-3 Solving Inequalities Using Multiplication and Division
4-3.1 Using Multiplication to Solve Inequalities
NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
TOP: 4-3 Example 2
Multiplication Property of Inequality for c < 0 | solving inequalities
A
PTS: 1
DIF: L2
4-3 Solving Inequalities Using Multiplication and Division
4-3.2 Using Division to Solve Inequalities
NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
TOP: 4-3 Example 3
Division Property of Inequality | graphing | solving inequalities
C
PTS: 1
DIF: L2
REF: 4-5 Compound Inequalities
4-5.1 Solving Compound Inequalities Containing And
NAEP 2005 A3a | NAEP 2005 A4c | ADP J.3.1
STA: OH 9N2
4-5 Example 2
solving a compound inequality containing AND | compound inequality
B
PTS: 1
DIF: L3
4-6 Absolute Value Equations and Inequalities
4-6.2 Solving Absolute Value Inequalities
NAEP 2005 N1g | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
OH 9P6
TOP: 4-6 Example 3
solving absolute value inequalities | graphing | solving a compound inequality containing AND
A
PTS: 1
DIF: L2
REF: 6-1 Rate of Change and Slope
6-1.1 Finding Rates of Change
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
STA: OH 9P3 | OH 9P14
TOP: 6-1 Example 1
KEY: rate of change
ANS: B
PTS: 1
DIF: L2
REF: 6-1 Rate of Change and Slope
OBJ: 6-1.1 Finding Rates of Change
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
STA: OH 9P3 | OH 9P14
TOP: 6-1 Example 2
KEY: graphing | rate of change
ANS: A
PTS: 1
DIF: L2
REF: 6-1 Rate of Change and Slope
OBJ: 6-1.2 Finding Slope
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
STA: OH 9P3 | OH 9P14
TOP: 6-1 Example 3
KEY: graphing | finding slope using a graph | slope
ANS: B
PTS: 1
DIF: L2
REF: 6-1 Rate of Change and Slope
OBJ: 6-1.2 Finding Slope
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
STA: OH 9P3 | OH 9P14
TOP: 6-1 Example 4
KEY: finding slope using points | slope
ANS: B
PTS: 1
DIF: L2
REF: 6-1 Rate of Change and Slope
OBJ: 6-1.2 Finding Slope
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
STA: OH 9P3 | OH 9P14
TOP: 6-1 Example 5
KEY: horizontal and vertical lines | slope | undefined slope
ANS: D
PTS: 1
DIF: L2
REF: 6-2 Slope-Intercept Form
OBJ: 6-2.1 Writing Linear Equations
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10
TOP: 6-2 Example 1
KEY: linear equation | y-intercept | slope
ANS: B
PTS: 1
DIF: L3
REF: 6-2 Slope-Intercept Form
OBJ: 6-2.1 Writing Linear Equations
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10
TOP: 6-2 Example 1
KEY: slope | linear equation | y-intercept
ANS: D
PTS: 1
DIF: L2
REF: 6-2 Slope-Intercept Form
OBJ: 6-2.1 Writing Linear Equations
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10
TOP: 6-2 Example 2
KEY: linear equation | slope | y-intercept
ANS: A
PTS: 1
DIF: L2
REF: 6-2 Slope-Intercept Form
OBJ: 6-2.1 Writing Linear Equations
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10
TOP: 6-2 Example 3
KEY: graphing | slope | y-intercept | slope-intercept form | finding slope using a graph
ANS: A
PTS: 1
DIF: L2
REF: 6-5 Point-Slope Form and Writing Linear Equations
OBJ: 6-5.1 Using Point-Slope Form
NAT: NAEP 2005 A1h | NAEP 2005 A1i | NAEP 2005 A2a | NAEP 2005 A2b | NAEP 2005 A3a | ADP
J.4.1 | ADP J.4.2 | ADP K.10.1 | ADP K.10.2
STA: OH 9P5 | OH 9P6 | OH 9P8
TOP: 6-5 Example 1
KEY: point-slope form | graphing | linear equation
ANS: B
PTS: 1
DIF: L2
REF: 5-2 Relations and Functions
OBJ: 5-2.1 Identifying Relations and Functions
NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3
STA: OH 9P1 | OH 10P1
TOP: 5-2 Example 1
KEY: function | mapping diagram
ANS: A
PTS: 1
DIF: L2
REF: 5-2 Relations and Functions
OBJ: 5-2.2 Evaluating Functions
NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
STA:
KEY:
ANS:
REF:
NAT:
STA:
KEY:
ANS:
REF:
NAT:
STA:
KEY:
ANS:
OBJ:
STA:
KEY:
ANS:
OBJ:
NAT:
TOP:
ANS:
OBJ:
NAT:
TOP:
ANS:
OBJ:
NAT:
TOP:
ANS:
OBJ:
STA:
KEY:
ANS:
OBJ:
STA:
KEY:
ANS:
OBJ:
STA:
KEY:
ANS:
OBJ:
STA:
KEY:
ANS:
REF:
NAT:
STA:
ANS:
REF:
OH 9P1 | OH 10P1
TOP: 5-2 Example 4
function
D
PTS: 1
DIF: L2
5-3 Function Rules, Tables, and Graphs
OBJ: 5-3.1 Modeling Functions
NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1
OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10
TOP: 5-3 Example 1
graphing | function
A
PTS: 1
DIF: L2
5-3 Function Rules, Tables, and Graphs
OBJ: 5-3.1 Modeling Functions
NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1
OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10
TOP: 5-3 Example 4
graphing | function | absolute value
A
PTS: 1
DIF: L2
REF: 5-4 Writing a Function Rule
5-4.1 Writing Function Rules
NAT: NAEP 2005 A1e | NAEP 2005 A3a
OH 9P2 | OH 9P5 | OH 9D6 | OH 10P10
TOP: 5-4 Example 1
rule | function
D
PTS: 1
DIF: L2
REF: 5-5 Direct Variation
5-5.1 Writing the Equation of a Direct Variation
NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2
STA: OH 9P13 | OH 10P10
5-5 Example 4
KEY: rule | function | direct and inverse variation
C
PTS: 1
DIF: L2
REF: 5-5 Direct Variation
5-5.1 Writing the Equation of a Direct Variation
NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2
STA: OH 9P13 | OH 10P10
5-5 Example 3
KEY: direct and inverse variation
C
PTS: 1
DIF: L3
REF: 5-5 Direct Variation
5-5.1 Writing the Equation of a Direct Variation
NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2
STA: OH 9P13 | OH 10P10
5-5 Example 3
KEY: direct and inverse variation
D
PTS: 1
DIF: L2
REF: 5-6 Inverse Variation
5-6.1 Solving Inverse Variations
NAT: NAEP 2005 A1e | NAEP 2005 A1h
OH 9P13
TOP: 5-6 Example 1
constant of variation | inverse variation
A
PTS: 1
DIF: L2
REF: 5-6 Inverse Variation
5-6.1 Solving Inverse Variations
NAT: NAEP 2005 A1e | NAEP 2005 A1h
OH 9P13
TOP: 5-6 Example 2
constant of variation | inverse variation
B
PTS: 1
DIF: L3
REF: 5-6 Inverse Variation
5-6.1 Solving Inverse Variations
NAT: NAEP 2005 A1e | NAEP 2005 A1h
OH 9P13
TOP: 5-6 Example 3
word problem | problem solving | constant of variation | inverse variation
A
PTS: 1
DIF: L2
REF: 5-7 Describing Number Patterns
5-7.1 Inductive Reasoning and Number Patterns
NAT: NAEP 2005 A1a | NAEP 2005 A1b
OH 9P2 | OH 9P3
TOP: 5-7 Example 1
inductive reasoning | conjecture | geometric sequence
A
PTS: 1
DIF: L2
5-3 Function Rules, Tables, and Graphs
OBJ: 5-3.1 Modeling Functions
NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1
OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10
TOP: 5-3 Example 3
B
PTS: 1
DIF: L2
5-3 Function Rules, Tables, and Graphs
OBJ: 5-3.1 Modeling Functions
NAT: NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1
STA: OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10
TOP: 5-3 Example 3
SHORT ANSWER
82. ANS:
Pop.
2000
1800
1600
1400
1200
1000
800
600
400
200
1
2
3
4
5
6
Year
PTS: 1
DIF: L2
REF: 1-5 Statistics: Scatter Plots
OBJ: 1-5.2 Analyzing Data Using Scatter Plots
NAT: NAEP 2005 D1a | NAEP 2005 D1b | NAEP 2005 D2h | NAEP 2005 A2c | ADP L.1.1 | ADP L.1.2 |
ADP L.1.5 | ADP L.2.3
STA: OH 9D2 | OH 9D6 | OH 10D2
TOP: 1-5 Example 4
KEY: graphing | ordered pair | scatter plot
83. ANS:
a. Nancy; the mean of her scores is 84.1, and the mean of Bob’s scores is 86. Nancy’s median score is 85.
Bob’s median score is 85.5.
b. Nancy; the range of her scores is 14, and the range of Bob’s scores is 22.
PTS: 1
DIF: L3
REF: 1-6 Mean, Median, and Range
OBJ: 1-6.2 Stem-and-Leaf Plots
NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 |
ADP L.1.3 | ADP L.1.4
STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5
TOP: 1-6 Example 5
KEY: mean-median-mode | range | measures of central tendency | stem-and-leaf plot | data analysis |
multi-part question
84. ANS:
Answers may vary. Sample:
A - speed is slowing, as if skating uphill
B - gaining speed quickly, as if beginning a downhill descent
C - high speed briefly, as if just skating down a hill
D - constant speed for some time, as if skating on an even surface
PTS: 1
DIF: L3
REF: 5-1 Relating Graphs to Events
OBJ: 5-1.1 Interpreting, Sketching, and Analyzing Graphs
NAT: NAEP 2005 A2a | NAEP 2005 A2c | ADP J.4.8
STA: OH 9P2
KEY: graphing | interpret a graph | reasoning | writing in math
85. ANS:
{7, 6, 5, 3}
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
5-2.2 Evaluating Functions
OH 9P1 | OH 10P1
function | domain | range
REF: 5-2 Relations and Functions
NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3
TOP: 5-2 Example 4
OTHER
86. ANS:
False; counterexamples may vary. Sample:
PTS:
OBJ:
NAT:
STA:
KEY:
is a real number, but it is not rational.
1
DIF: L3
REF: 1-3 Exploring Real Numbers
1-3.1 Classifying Numbers
NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3
OH 9N1 | OH 9N2
TOP: 1-3 Example 3
counterexample | rational numbers | real numbers | reasoning