NeSAm 11 - northerntierdataretreat

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1A
Use the diagram to answer the question.
The area of each square is
given in the diagram.
What is the value of x + y?
70 m
1B
Write an expression for the
perimeter of the triangle.
3x + 2
-2x + 12
5x - 6
6x + 8
1C
Write the area of the triangle
as a monomial.
6x2y4
4
5
15x y
5x2y
2A
What is the value of the expression
3
 4 25  4 ?
44
2B
What is the value of the expression
3
64  3 81 ?
31
2C
Simplify:
5
3 4
2
2
3A
What is the simplified form of the expression
(6 x  4 x  2 x  5)  (3x  2 x  x  4) ?
4
3
4
3x
2
+
3
6x
4
–
2
2x
3
–x+1
3B
Simplify:
(3x2 – x + 2) + (x2 + 4x – 9)
2
4x
+ 3x – 7
3C
Simplify:
(9r2 + 6r + 16) – (8r2 + 7r + 10)
2
r
–r+6
4A
r
Use the graphs to answer the question.
s
t
u
Which line shows a negative slope?
s
4B
A.
B.
C.
D.
Which choice describes the slope
of this line?
Positive Slope
Negative Slope
Zero Slope
No slope
4C
Which choice describes the slope
of this line?
A.
B.
C.
D.
Positive Slope
Negative Slope
Zero Slope
No slope
5A
Use the figure to answer the question.
5 3
Δ ABC is equilateral and each side measures
10 inches. Segment DC is equal to 5 in. What
is the length of segment AD?
5B
Use the figure below to answer the question.
12
ABCD is a square and
is a diagonal
with length
inches. What is the length
of
?
5C
Use the figure below to answer the question.
20
ΔABC is equilateral and
measures
inches (in.). D is the midpoint of
. What is
the length of
?
6A
What is the simplest form of the expression?
2 x  16 x  14
2
x 1
2
2( x  7)
( x  1)
6B
Simplify: (x + 2)(x – 3)
2
x
–x-6
6C
Divide:
6x  9 y
3
2x – 3y
7A
What is the value of
4
1
 
2
2
?
7B
Simplify:
27
9
2
3
7C Simplify:
 8 


 27 
9
4
2

3
8A
3
4
A line has a slope of and passes
through the point (-4, 2). Write the
equation of the line in standard
form.
- 3x + 4y = 20
8B
Write an equation of the line with a
slope of -2 that passes through the
point (-1,3) in point slope form.
y – 3 = -2(x + 1)
8C
Write the equation y – 3 = -2(x + 1)
in standard form.
2x + y = 1
9A
Use the table to answer the question.
65
100
In a school of 100 students, what is the
probability of randomly selecting a student that
is either a female or a senior?
9B
Use the table to answer the question.
12
100
In a school of 100 students, what is the
probability of randomly selecting a
student that is male and a junior?
9C
Use the table to answer the question.
58
100
In a school of 100 students, what is the
probability of randomly selecting a
student that is female or a freshman?
10A
The vertices of Δ ABC are:
A (0,0), B (6,0), and C (3,7).
What type of triangle is Δ ABC?
acute isosceles
triangle
10B
Determine whether EFGH is
a parallelogram, rhombus, a
rectangle, or a square. List
all that apply.
E (1,5), F (6,5),
G (6,10), H (1,10)
Parallelogram,
rhombus, and
square, rectangle
10C
Determine whether GHJK is a
trapezoid, parallelogram,
rhombus, a rectangle, or a
square. List all that apply.
G (-2,2), H (4,2),
J (-4,-1), K (6,-1)
trapezoid
11A
Which statement is true for
a line that passes through
points (-2, 4) and (3, 4) ?
A. The line has a negative slope.
B. The line has a positive slope.
C. The line has an undefined slope.
D. The line has a zero slope.
D.
11B
Find the rate of change for
1990-2000.
$13.7 billion
11C
The table that shows Karen’s height
from age 12 to age 20.
Age
12 14 16 18 20
(years)
Height 60 64 66 67 67
(inches)
Determine the two-year period when Karen
grew the fastest and explain the horizontal
section of the graph.
Karen grew fastest from age 12 to 60.
she didn’t grow after she was 18.
12A
Use the figure to answer the question.
65˚
In Δ ABC,
is parallel to
. The measure
of
is 60˚ and the measure of
is
125˚. What is the measure of
?
12B
Find x so that the quadrilateral is a
parallelogram.
x = 12
12C
Find x. Assume that NP is
tangent to circle O.
8
13A
What is the value of the expression?
13B
What is the value of the expression?
13C
What is the value of the expression?
14A
Using positive exponents, what is the
simplest form of the expression?
14B
4
2
Simplify: (ab )(ab )
2
6
ab
14C
Simplify:
7
2
(9xy )
2
14
81x y
15A
2
Given the linear equation y  x  2
3
which table of values represents
this equation?
A.
15B
What relationship exists between
the x- and y-coordinates of each
of the data points shown in the
table?
X
Y
A. x and y are opposites.
B. The sum of x and y is 2.
C. The y-coordinate is 1 more than
the square of the x –coordinate.
D. The y-coordinate is 1 more than
the opposite of the x-coordinate.
-3
4
-2
3
0
1
1
0
3
-2
5
-4
15C
A.
B.
C.
D.
Which equation describes the
graph?
3y – 4x = -12
4y + 3x = -16
3y + 4x = -12
3y + 4x = -9
16A
What is the y-intercept of the line
that contains the points (3, 3)
and (6, -1)?
7
16B
What are the x-intercepts of
x2-3x-4=0?
-1 and 4
16C What are the slope and
y-intercept of y = - 2/3 x + 1?
m= -2/3
b=1
17A
The coordinates of the vertices for
rectangle ABCD are A (2,4),
B (6, 10), C (9, 8) and D (5, 2).
What is the length of a diagonal
.
of the rectangle?
17B Find the distance between the
points (-3, 2) and (5, 6).
32  4 2
17C
Find the perimeter of a square
ABCD if tow of the vertices are
A (3, 7) and B (-3, 4).
18A
Use the frequency table to answer the question.
The frequency table shows the
test scores for each interval.
What effect would dropping the
two scores in the 70-74 interval
have on the mean and standard
deviation?
A. Both the mean and standard deviation increase.
B. Both the mean and standard deviation decrease.
C. The mean increases, but he standard deviation
decreases.
D. The mean decreases, but he standard deviation
increases.
18B
Which car shows the least
variation in miles per gallon?
18C
List any outliers.
60
19A
A car used 12 gallons of gasoline and traveled
a total distance of 290 miles. The car’s fuel
efficiency is 25 miles per gallon on the highway
and 20 miles per gallon in the city. The
variable h will represent the number of gallons
used on the highway. Which equation could
be used to find h?
A.
B.
C.
D.
25h + 20(12 – h) = 290
25(12 – h) + 20h = 290
25(12 + h) + 20h = 290
25h + 20(12 + h) = 290
19B
Write a linear equation in
slope-intercept form to model
the situation.
You rent a bicycle for $20
plus $2 per hour.
C = 20 + 2t
19C
Write an inequality that
represents this situation.
Tickets for the fall dance are $5 per
person or $8 for couples. In order to
cover expense, at least $1200 worth
of tickets must be sold.
5s + 8c ≥1200
20A
Use the spinners to answer the question.
2
12
All four sections on spinner A are the same
size, and all three sections on spinner B are
the same size. Charlie spins Spinner A and
spinner B one time each and adds his results.
What is the probability of getting a sum of 6?
20B
How many outfits are possible if
you choose one each of 5 shirts,
3 pairs of pant, 3 pairs of shoes,
and 4 jackets?
180
20C
Which pair of events is not mutually
exclusive?
A. drawing the 4 of clubs
& drawing the 4 of spades
B. rolling two dice that show a sum of 8
& rolling two dice that show different numbers
C. tossing two coins and getting two tails
& rolling two coins and getting two heads
D. reaching into a jar and pulling out a red marble
reaching into a jar and pulling out a blue marble
&
21A
An item sells for $20 per kilogram.
What is the cost in cents per gram
for this item?
2 cents per gram
21B
If 250 copies cost $15 how many
cents did each copy cost?
6¢
21C
Convert 60 meters per second to
kilometers per hour.
216 km/h
22A
Nine tiles numbered 1 though 9 are
placed in a bag. A tile is randomly drawn
and replaced. Then a second tile is
randomly drawn. What is the probability
the first tile drawn and the second tile
drawn are both even numbers?
16
81
22B Nine tiles numbered 1 though 9 are
placed in a bag. A tile is randomly
drawn not replaced. Then a second
tile is randomly drawn. What is the
probability the first tile drawn and
the second tile drawn are both even
numbers?
4
27
22C
Nine tiles numbered 1 though 9 are placed
in a bag. A tile is randomly drawn and
replaced. Then a second tile is randomly
drawn. What is the probability the first tile
drawn is odd and the second tile drawn is
even number?
20
81
23A
John found the length of one side of a
square to be 40 inches. Which is
closest to the length of the side of the
square?
A. about 6 inches
B. about 7 inches
C. about 10 inches
D. about 20 inches
23B
George wants to put a fence
around his garden that
measures 15.2 m by 20.6 m.
About how much fencing
should he buy?
72 m
23C
Estimate the circumference of a
circle with a diameter of 10 m.
A. 0.30 m
B. 3 m
C. 30 m
D. 300 m
24A
Lines l and k are perpendicular. Line l
has a slope of 3. Line k contains the
points (5, 8) and (2, y). What is the value
of y?
9
24B
Lines l and k are perpendicular.
Line l has a slope of -3. What is
the slope of line k?
1
3
24C
Lines l and k are perpendicular.
Line l has a slope of . Line k
contains the points (1,1) and (10,y).
What is the value of y?
13
25A
Find sine, cosine and tangent
of angle S.
Sine S =3/5 = 0.6
Cosine S =4/5 = 0.8
Tangent S =3/4 = 0.75
25B Determine whether the
following side measures form
a right triangle. 3, 4, 5
The triangle is a right triangle.
32 +42 = 52
25C
Write the equation of the circle
with center at (-3, 5), radius 10.
2
(x+3)
+
2
(y-5) =
100
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