Coord Alg–EOCT Review Powerpoint

Report
EOCT Review
Pull out paper & pencil
1) Solve –2x + 13 ≤ 23:
a)x = 5
c) x > 5
b)x ≤ −5
d) x ≥ −5
2) What is not a solution to

3 ∗ 2 + 1 < 25?
a) 3
c) –5
b) 0
d) 2
3)
What would the graph look like
for the solution to 4x – 5 > 7?
a. Closed circle at 3 and shaded to the
right
b. Open circle at 3 and shaded to the right
c. Open circle at 3 and shaded to the left
d. Closed circle at 3 and shaded to the left
4) Which inequality represents the sum of 2
consecutive integers is greater than 73?
a) 2n + 1 > 73
b) 2n > 73
c) 2n + 2 ≥ 73
d) n + (2n + 1) > 73
5)
Which is a solution to the system of
inequalities:
6 − 9 > 2 + 19
10 −  > 7
a) All real #’s
b) No solution
c) 3
d) -4
6) In the expression, 3y + 8x + 12, what is the
constant?
a)
3
b)
8
c)
y
d)
12
7) A plumber charges a flat fee for each job, plus an
hourly rate for the number of hours the job takes to
complete. The total cost of the job, in dollars, can be
modeled by the equation y = 50 + 65x.
What does the independent variable in the expression
represent in this situation?
A)
B)
C)
D)
The number of jobs, y
The number of hours to complete the job, x
The cost per hour, $65
The total cost for the job, y
8) A plumber charges a flat fee for each job, plus an
hourly rate for the number of hours the job takes
to complete. The total cost of the job, in dollars,
can be modeled by the equation y = 50 + 65x.
What does the coefficient in the expression represent
in the situation?
A)
B)
C)
D)
The number of hours to complete the job, x
The cost per hour, $65
The flat fee, $65
The flat fee, $50
9) A plumber charges a flat fee for each job, plus an
hourly rate for the number of hours the job takes to
complete. The total cost of the job, in dollars, can be
modeled by the equation y = 50 + 65x.
What does the constant term in the expression
represent in this situation?
A)
B)
C)
D)
The number of jobs, x
The cost per hour, $65
The cost per hour, $50
The flat fee, $50
10) A plumber charges a flat fee for each job, plus an
hourly rate for the number of hours the job takes to
complete. The total cost of the job, in dollars, can be
modeled by the equation y = 50 + 65x.
What does the dependent variable in the expression
represent in this situation?
A)
B)
C)
D)
The number of jobs, y
The number of hours to complete the job, x
The total cost for the job, y
The flat fee, $65
11) The owner of a pool cleaning business wants to
know how much time, on average, his workers spend
cleaning a pool. Last week, 7 employees each worked
a 6-hour shift. In all, they cleaned 42 pools. Which is
the most appropriate unit in which to calculate an
answer to his question?
A)
B)
C)
D)
Pools per employee
Pools per day
Employees per pool
Hours per pool
12) Which is equivalent to 21.76 grams per minute?
A) 1.306 kg/h
B) 13.06 kg/h
C) 36.267 kg/h
D) 362.67 kg/h
13) Which of the following represents an exact
quantity?
A) The weather forecast for today calls for a
high temperature of 81.
B) The rise of a hill is about 15.
C) A cat had a litter of 6 kittens.
D) The maximum capacity of a bridge is 20,000
pounds.
14)For which of the following situations is an
exact answer most needed?
A) The maximum number of passengers on an
airplane
B) The number of spectators at a baseball
game
C) The number of blueberries in a batch of
blueberry pancakes
D) The number of people in a town
15)
Which is not an exponential function?
1 
8
a)
 =6∗
b)
 = 
c)
 = −12 10
d)
 = 4−5
16) Which function is
represented in this
graph:
1
6
A)  =
B) 
∗ 3
1 
=4
2
1 +1
C) =
2
D)  = 41/2
17) Enrollment at a preschool has dropped by 4.5%
each year. The variable y gives the number of
students at school after x years. What is the base
for the equation in the form y = a*bx that
represents this situation?
A) 0.045
B) 0.955
C) 1.91
D) 0.09
18) A beekeeper pays $30 to rent a booth at a
farmers’ market. She charges $5 for each jar of
honey. Which of the following is true?
A) The value of x can be negative.
B) The value of y can be negative.
C) The value of x can be fractional.
D) The value of y cannot be zero.
19) Which of the following is equivalent to the
equation 4r + 7s = q?
A) r = 4q – 28s
B) r =
q−7s
4
C) s = 7q + 28r
D) s =
q+4r
7
20) Which of the following is not equivalent to the
equation a – 3b = 5c + 9?
A) a = 3b + 5c + 9
B) b =
1
(a
3
– 5c – 9)
C) a – 3b – 5c = 9
D) c =
a−3b+9
5
21) Ohm’s Law of Electricity states that V = IR, where
V = voltage, I = current, & R = resistance. If V = 9
volts and I = 0.5 amperes, how many Ohms (R) are
used?
A) 4.5 Ohms
B) 18 Ohms
C) 9.5 Ohms
D) 8.5 Ohms
22) At a baseball game, hot dogs cost $2.25 and
sodas cost $1.75. If Bob spent $18.25 and
bought 5 hot dogs, how many sodas did he buy?
A) 4
B) 7
C) 10
D) 9.5
23) A rectangle’s length is twice its width. Its
perimeter is 156 meters. What is the
rectangle’s length?
A) 13 m
B) 26 m
C) 52 m
D) 54 m
24) A seamstress is making dresses to sell at a
local craft fair. She charges $35 for each
dress and pays a $75 fee to rent her booth at
the fair. The expression 35d – 75 gives the
amount she earns at the fair, where d is the
number of dresses sold. Which of the
following is not true?
A)
B)
C)
D)
The value of d can by any whole number.
The value of d can be any integer.
The value of d cannot be irrational.
The value of d can be 0.
25) The sum of 22 and five times a number is 57.
What is the number?
A) 307
B) 7
C) 10
D) 9.5
26) What property is used in the equation
below?
9+d=d+9
A) Associative property
B) Commutative property
C) Identity property
D) Zero property
27) Sarah used the steps below to solve the
3
4
equation: ∗ 7 ∗ = 49.
4
3
Step
3
One:
4
∗
4
∗
3
7 = 49
Step Two: 1 ∗ 7 = 49
Step Three: 7 = 49
Step Four:  = 7
Which step can be justified by the commutative
property of multiplication?
A) Step 1
C) Step 3
B) Step 2
D) Step 4
28) Sarah used the steps below to solve the
3
4
equation: ∗ 7 ∗ = 49.
4
3
Step
3
One:
4
∗
4
∗
3
7 = 49
Step Two: 1 ∗ 7 = 49
Step Three: 7 = 49
Step Four:  = 7
Which step can be justified by the multiplicative
identity property?
A) Step 1
C) Step 3
B) Step 2
D) Step 4
29) Which is the solution to the equation: 8 ∙
1
−
2 +1=1 ?
2
A) n = –4
B) n = –2
C) n = 2
D) n = 4
30) What step could be written within the
solution to the equation: 4 ∙ 53 = 500?
A) 53 = 53
B) 43 = 100
C) 53 = 2000
D) 203 = 500
31) A system of three equations is shown on the
graph below.
What is the solution to the system?
A) (1, 1)
B) (0, –2)
C) (4, –2)
D) No solution
32) At what amount of minutes does it not matter
which cell phone company you choose?
A) 10
B) 15
C) 20
D) 5
33) What step comes next if you solve the
following system by substitution?
3 − 5 = 13
2 −  = −3
–y = –2x – 3
y = 2x + 3
A)
B)
C)
D)
3x – 5(2x + 3) = 13
3(2x + 3) – 5y = 13
3x = 5y + 13
None of the above
34) What step would come next if you solve the
following system by elimination?
 − 2 = 5
−2 + 7 = −4
A) 2y – 4x = 10
B) y = 2x + 5
C) y – 7x = 5
D) –y + 5x = 1
35) Sonjit has a collection of quarters and dimes
worth $3.70. He has a total of 19 coins. Which
equation would be part of a system used to solve this
problem?
A) x + y = 3.7
B) x + y = 19
C) 19(x + y ) = 3.7
D) 0.25x – 0.1y = 3.7
36) Which system of inequalities is represented
in the graph?
 ≤ 2 + 2
A)
 <−2
B)
≤
1

2
+2
 ≤ 2 + 2
C)
 >−2
D)
 ≥ 2 + 2
37) Which ordered pair is a solution to the
system of inequalities represented in the graph?
A) (–3, 2)
B) (–7, –10)
C) (–1, –2)
D) (4, –10)
38) Which of the following is true about the system of
inequalities represented in the graph below:
A) (–4, –6) is a solution.
B) The white section within the graph is the only area where
solutions for this system can be found.
C) Any ordered pair that falls on the y > x – 2 line is a solution.
D) None of the above
39) Which table of values is not a function?
Input
Output
Input
Output
a. 2
4
6
8
-2
-4
-6
-8
b. 1
1
2
2
4
5
6
7
Input
Output
Input
Output
c. -1
0
1
2
3
3
4
5
d. 1
3
5
7
-1
-2
-3
-4
40) Which value could not be substituted for a in
the table if the table represents a function?
A) 1
B) 0
C) –1
D) –3
x g(x)
–3 24
a
4
1
4
2 –1
41) Which value or values could be substituted for
b in the table to ensure that the table represents a
function?
A) 1 only
B) 3¼ only
C) 18 only
D) Any real number
x h(x)
–1 2¼
0
3
1
b
4 258
42) Which is true of the function shown below:
A)
B)
C)
D)
It is increasing on the interval (−∞, ∞).
It is decreasing on the interval [0, −∞).
It is linear.
It has a constant rate of change.
43) What is the x and y intercept of the function
below?
A)
B)
C)
D)
x-int (4, 0) & y-int (0,2)
x-int (2, 0) & y-int (0,4)
x-int: none & y-int (0,2)
x-int: (2, 0) & y-int: none
44) What is the x-intercept of the table below:
A) –9.9
B) –1
C) 1
D) –9
x
–2
–1
0
1
2
g(x)
–9.99
–9.9
–9
0
90
45) Which statement about this function is not
true?
A) Its domain is:
{–6≤ x ≤ 9}
B) Its range is:
{–5≤ x ≤ 7.5}
C) It has a y-intercept
at (0,0)
D) It has a maximum
at 9.
46) The table below shows some ordered pairs for an
exponential function. Which statement about this
function is not true?
A) Its x-intercept is the
same as its y-intercept.
B) It is positive on the
interval (0,∞).
C) It is increasing on the
interval (–∞, ∞).
D) As x approaches –∞, f(x)
approaches ∞.
x
–1
f(x)
0
1
2
3
0
5
35
215
–
5
6
47) What is the rate of change for a line
containing the points (7, 5) and (–2, 1)?
A)
4
9
B)
4
5
C)
9
4
D)
5
4
48) Which statement is true when f(x) = 5x + 3 and
g(x) = 6 9 + 9 for x1 = 0 and x2 = 3?
A) The rate of change of f(x) is greater from x1 to x2.
B) The rate of change of g(x) is greater from x1 to x2.
C) The rate of change of f(x) is the same as g(x)
from x1 to x2.
D) None of the above is true.
49) Which two functions can be written from
the equation 4x + 5 = 0.5x – 2?
A) y = 4x + 5; y = 0.5x – 2
B) y = 3.5x; y = 3
C) y = x; y = 3.5x + 7
D) None of the above
50) Solve the equation for x by using the given table.
A) 2
B) 3
C) 4
D) 25
x
2
3
4
5
6
f(x) = 5x – 2 g(x) = 25
1
25
5
25
25
25
125
25
625
25
51) The graph below shows f(x) = 1.5x and the
graph of g. Which equation could represent
g(x) in terms of f(x)?
A) g(x) = f(x) + 6
B) g(x) = f(x) – 6
C) g(x) = f(x + 6)
D) g(x) = 6f(x)
52) The graph below shows f(x) = 2x and the
graph of g. Which equation could represent g(x)
in terms of f(x)?
A) g(x) = f(x) – 4
B) g(x) = f(x) + 4
C) g(x) = f(x – 4)
D) g(x) = f(x + 4)
53) Describe the transformation from the
parent function f(x) = x when given f(x) = x +
5.
A) Left 5 units
B) Right 5 units
C) Up 5 units
D) Down 5 units
54) Which function shows the transformation of
left 7 units, a vertical stretch, and up 8 units
when compared to its parent function?
A) f(x) = 4*3x+7 – 8
B) g(x) =
1 x–7
*3 +
4
8
C) h(x) = 5*3x–7 + 8
D) m(x) = 5*3x+7 + 8
55) The graphing calculator screen below shows
f(x) = 2x and its reflection g. Which could
represent g(x)?
A) g(x) = 2x
B) g(x) = 2–x
C) g(x) = –(2x)
D) g(x) = –(2– x)
3
x
2
56) The graphing calculator screen below shows f(x) = – –
6 and its reflection g. Which is not true of the functions?
A) g(x) = f(–x)
B) Function f was reflected
across the y-axis to form g.
C) Both f and g have the
same y-intercept.
D) Both f and g have the
same slope.
57) The equation A(t) = 900(0.85)t represents the
value of a motor scooter t years after it was
purchased. Which statement is also true of this
situation?
A) When new, the scooter cost $765.
B) When new, the scooter cost $900.
C) The scooter’s value is decreasing at a rate of
85% each year.
D) The scooter’s value is decreasing at a rate of
0.15% each year.
58) Which function could be used to model the
table:
A) linear
B) quadratic
C) exponential
D) cubic
x
0
1
2
3
4
f(x)
16
8
4
2
1
59) The formula an = –10(3)n-1 describes a
geometric sequence. Which recursive formula
also describes this sequence?
A) a1 = 1; an = an-1 ∙ –30
B) a1 = 3; an = an-1 ∙ –10
C) a1 = –10; an = an-1 ∙ 3
D) a1 = –1; an = an-1 ∙ 30
60) Which formula can be used to find the nth
term in the sequence below?
128, 96, 72, 54, …
A) an = 128 ∙
B) an = 128 ∙
C) an = 128 ∙
D) an = 128 ∙
3 −1
4
4 −1
3
3 
4
4 
3
61) The formula an = 10 – 4n describes an
arithmetic sequence. What are the first four
terms in the sequence?
A) 6, 2, –2, –6
B) 6, 2, 0, –2
C) 10, 6, 2, –2
D) 14, 18, 22, 26
62) For an arithmetic sequence a1 = 21, the
recursive formula is an = an-1+11. Which explicit
formula can be used to find the nth term in the
sequence?
A) an = 10 – 11n
B) an = 10 + 11n
C) an = 21 – 11n
D) an = 21 + 11n
63) Based on the graph below, which statement is
not true?
A) Functions f and g have
the same y-intercept.
f(x)
1
)
2
B) The ordered pair (–1, is
a solution for both functions.
C) The ordered pair (1, 2) is
a solution for f(x).
D) The value of f(x) begins to
exceed g(x) during the interval
between x = 2 and x = 3.
g(x)
64) Which statement accurately compares the
average weight of a puppy from the 2nd litter to the
average weight of a puppy from the 1st litter?
1st Litter
3½, 4, 4, 4½
2nd Litter 4½, 5, 7, 7½
A) The average weight is about the same for both
litters.
B) The average weight of a puppy from the 2nd
litter is about ½ as great.
C) The average weight of a puppy from the 2nd
litter is about 1½ times as great.
D) The average weight of a puppy from the 2nd
litter is about 2½ times as great.
65) To compare two shipments, five packages from each
shipment were chosen at random and weighed. Which
measure or measures of center would be best to use if
you wanted to compare the weight of a typical package
from each shipment?
1st Shipment 2, 4, 6, 8, 10
2nd Shipment 3, 3, 5, 8, 50
A) Median would be the best measure of center.
B) Mean would be the best measure of center.
C) Median and mean would both be equally good
measures of center.
D) Neither the mean nor the median would be a good
measure of center.
66) What is the mean of the dot plot below?
A) 26
B) 30
C) 31
D) 29
67) What is the median of the dot plot below?
A) 25
B) 30
C) 35
D) 40
68) Which is true about the histograms below?
A)
B)
C)
D)
The non-obese graph is bimodal.
The obese graph is uniform.
The non-obese graph is skewed right.
The obese graph is unimodal.
69) Which histogram is skewed left and has a
gap?
70) What is the mean absolute deviation of the
dot plot if the mean is about 4.2?
A) 0.9
B) 3.9
C) 4.2
D) 1.7
71) Which statement is true concerning the two dot plots
given below?
Dot Plot #1
A) Dot Plot #1 has more
variation than Dot Plot #2.
B) Dot Plot #2 has more
variation than Dot Plot #1.
C) Both dot plots vary the
same.
D) The amount of variation for
Dot Plot #2 is 3.
Dot Plot #2
72) A teacher determined the median scores and interquartile
ranges of scores for a test she gave to two classes.
• In Class 1, the median score
was 70 points, and the
interquartile range was 15
points.
• In Class 2, the median score
was 75 points, and the
interquartile range was 12
points.
• Both classes had the same
third quartile score.
Which range includes only the
numbers that could be
third quartile scores for
BOTH classes?
A 70 to 87 points
B 70 to 85 points
C 75 to 87 points
D 75 to 85 points
73) The box and whisker plot below shows the quiz scores
of 20 history students. Which of the following statements is
NOT a correct interpretation of the box-and-whicker plot?
●
20
25
30
35
40
A. The median quiz score was 30.
B. Approximately 5 students had quiz scores of 36 or above.
C. The lowest quiz score was 21.
D.Approximately half of the students had a quiz score of 30.
74) The box plot shows the test scores earned by students
in a biology class. Which statement about the test scores is
not true?
●
60
70
80
90
100
A. The scores ranged from 65 to 100.
B. The median score earned was an 85.
C. 25% of students scored less than 75 points on the test.
D.50% of students had scores that ranged from 75 to 85
points.
75) The box plot shows the prices of 20 skirts for sale at a
boutique. Which statement about the prices is true?
●
10
20
30
40
50
60
70
80
90
100
A. The highest-priced skirt costs $100.
B. The median half price of a skirt is $70.
C. Half of the skirts have prices that range from $20 to $70.
D.The prices of the skirts are close to the median and not very
variable.
76) Given the table below, what is the value of the
missing marginal frequency?
Washington, D.C. Williamsburg, VA TOTAL
Boys
Girls
TOTAL
77
20
97
28
75
?
A) 103
C) 93
B) 75
D) 95
105
95
200
77) Given the table below, what percentage of girls
want to go to Williamsburg?
Washington, D.C. Williamsburg, VA TOTAL
Boys
Girls
TOTAL
77
20
97
28
75
?
A) 73%
C) 27%
B) 38%
D) 79%
105
95
200
78) Given the table below, how many students want
to go to Washington D. C.?
Washington, D.C. Williamsburg, VA TOTAL
Boys
Girls
TOTAL
77
20
97
A) 97
C) 105
B) 103
D) 95
28
75
?
105
95
200
79) A scatter plot has a correlation coefficient of
r = –0.895. What does this mean?
A) The scatter plot shows strong positive
correlation.
B) The scatter plot shows weak positive
correlation.
C) The scatter plot shows strong negative
correlation.
D) The scatter plot shows weak negative
correlation.
80) Find the equation of the line of best fit for
the scatter plot below.
A) y =
2
x
3
+1
B) y = x + 2
C) y = 2x
D) y = 1
81) Find the equation of the line of best fit for
the scatter plot below.
A) f(x) = 50
3 
5

B) f(x) = 135 2
C) f(x) = 125
2 
5

D) f(x) = 100 6
82) Which equation is the best model for the
table of values shown below?
A) y = –0.55x + 3.55
B) y = 0.55x + 3.55
C) y = 3.55x – 0.55
D) y = –3.55x – 0.55
x
1
2
3
4
5
f(x)
3
6.5
10
14
17
83) Which equation is the best model for the
table of values shown below?
A) y =
4(2.99-x)
B) y = 4(2.99x)
C) y = 2.99(4-x)
D) y = 2.99(4x)
x
1
2
3
4
5
f(x)
12
48
190
770
3,070
84) What does the screenshot on the right show
about the data being considered? LinReg
y=ax+b
a=–26.18521429
b=58.89810714
r2 = .5700873883
r=–.7550413156
A) A line with positive slope is a good fit for the
data.
B) A line with negative slope is a good fit for the
data.
C) A linear function is not a good model for the
data.
D) An exponential function is the only good model
for the data
85) Quadrilateral ABCD and
its reflected image are shown.
Which statement is true of
these two quadrilaterals?
A) The image shows the result of a reflection across the x-axis.
B) The path that point D takes across the line of reflection is
perpendicular to the line of reflection.
C) Each point (x,y) on quadrilateral ABCD maps to a point (-y,x) on its
image.
D) Corresponding sides of quadrilateral ABCD and its image are
parallel.
86) Triangle ABC is transformed to triangle A’B’C’.
Which statement is not true
of these two figures?
A) The transformation shows the image of ∆ABC after a 270
rotation about the origin.
B) This transformation preserved the distances and angle
measures of the original figure.
C) Sides  and ′′ lie on lines that are parallel to one
another.
D) Sides  and ′ ′ lie on lines that are perpendicular to one
another.
87)Which does not describe a way to map this
regular octagon back onto itself?
A)
B)
C)
D)
Reflect it across the x-axis.
Reflect it across the y-axis.
Rotate it 45.
Rotate it 80.
88) Which sequence of transformations can be used to map
∆ABC to ∆A’B’C’?
A) Dilation by a factor of ½ followed by a translation 4 units
down.
B) Dilation by a factor of ½ followed by a 270 rotation.
C) Vertical shrink by a factor of ½ followed by a translation 4
units down.
D) Vertical shrink by a factor of ½ followed by a 270
rotation.
89) What is the perimeter
of quadrilateral TUVW?
A 14 inches
B 14.1 inches
C 17.2 inches
D 24 inches
90) Which equation represents a line that is
perpendicular to the line shown below?
A) y = 3x + 3
B) y =
1
− x
3
+3
C) y = –3x + 3
D) y =
1
x
3
+3
91) Which equation represents a line that is
parallel to the line shown below?
A) y = 3x + 2
B) y =
1
− x
3
+2
C) y = –3x + 2
D) y =
1
x
3
+2
92) Which describes the lines y =
8
7
7
x
8
+ 12
and y = – x + 7?
A) parallel
B) perpendicular
C) Neither parallel nor perpendicular
D) coincidental
93) Which describes the lines x – 2y = –6 and
4y + 4 = 2x?
A) parallel
B) perpendicular
C) Neither parallel nor perpendicular
D) coincidental
94) Is ∆ABC a right triangle?
A)
B)
C)
D)
Yes, because  is perpendicular to .
Yes, because  is perpendicular to .
Yes, because  is perpendicular to .
No, because none of the sides are
perpendicular to one another.
95) What is the area of ∆ABC in square units?
A)
B)
C)
D)
13
21
26
52
F
96) Is DFGH a square?
D
G
A)
B)
C)
D)
H
Yes, because all of the angles are right angles and
all of the sides are congruent.
No, because all of the angles are not right angles.
No, because opposite sides are not parallel.
No, because not all of the sides are congruent.
F
97) What is the perimeter
of DFGH in units?
D
G
A)
B)
C)
D)
12
14
16
18
5
5
5
5
H
98) What is the distance between the points (1, –5)
and (6, 7)?
A) 11
B) 13
C) 14
D) 16
99) What is the midpoint between the endpoints
(–11, –6) and (16, 22)?
A) (1.5, 8)
B) (–13.5, –14)
C) (–13.5, –7)
D) (2.5, 8)
100) A line segment has a midpoint of (–4, 6) and an
endpoint of (2, 1). What is the coordinate of the other
endpoint?
A) (–1, 3.5)
B) (–10, 11)
C) (10, –11)
D) (3.5, –1)
101) Find the coordinates of point P that lies along
the directed line segment from M to N and
partitions the segment in the ratio of 3 to 2 .
Hint: Use

(x
+ 1
– x2) + x2
and

(y
+ 1
– y2) + y2
A) (1.2, 0)
B) (2, 1.5)
C) (0.5, –0.5)
D) (–1, –1)

similar documents