Transcript Coordinate algebra EOCT review

Equations and Inequalities:
Functions:
Problem 1 Problem 6
Problem 11
Problem 1 Problem 6
Problem 11
Problem 2 Problem 7
Problem 12
Problem 2 Problem 7
Problem 12
Problem 3 Problem 8
Problem 13
Problem 3 Problem 8
Problem 13
Problem 4 Problem 9
Problem 14
Problem 4 Problem 9
Problem 14
Problem 5 Problem 10 Problem 15
Problem 5 Problem 10 Problem 15
Statistics:
Geometry:
Problem 1 Problem 6
Problem 11
Problem 1 Problem 6
Problem 11
Problem 2 Problem 7
Problem 12
Problem 2 Problem 7
Problem 12
Problem 3 Problem 8
Problem 13
Problem 3 Problem 8
Problem 13
Problem 4 Problem 9
Problem 14
Problem 4 Problem 9
Problem 14
Problem 5 Problem 10 Problem 15
Problem 5 Problem 10 Problem 15
What equation shows
8(x – 3) = -4(y + 2)
solved for y?
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What is the value of x in
the equation 5 x 6 x
?
2
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
7
 11
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Find three consecutive integers
such that 4 less than triple the
smallest integer is equal to 9
more than 2 times the largest
integer.
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What equation shows
4n – nt = 2(t – 3)
solved for t?
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Set up a system of inequalities to represent the
situation.
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-f(x) is a linear function with the
1
equation f x = − 𝑥 + 4
2
-g(x) is a linear function with the
2
equation g x = 𝑥 − 2
3
What point represent where
f(x)=g(x)?
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The following inequalities represent a linear
programming problem. What are the vertices of the
feasible region?
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Write the systems of inequalities that
corresponds to the following graph.
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What is the equation of the
line passing through the
points (–2, 7) and (4, 3)?
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What is the solutions to the
following system of equations?
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Katherine has $140 in the bank
and is saving $6 per week.
Abbie has $462 in the bank,
but is spending at a rate of $10
per week. After how many
weeks will they have the same
amount of money?
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Your next math test is worth 111
points and contains 32
problems. Each problem is worth
either 4 points or 3 points. How
many 3 point problems are on
the test?
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The first term in an arithmetic
sequence is -5. The fifth term in
an arithmetic sequence is 19.
Write the recursive formula for the
sequence.
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Which function is modeled in this
table? x f(x)
1
2
3
4
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2
-3
-8
-13
2
If 𝑓 4 = 4 − 2 4 + 2,
what function gives f(x)?
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What function represents this
sequence?
n
1
an
-20 -10
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2
3
4
5
…
-5
-2.5
-1.25 …
The points (0, 1), (1, 5), (2,
25), (3, 125) are on the
graph of a function. Write
the equation that represents
the function?
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A function g is an odd function. If
g(–6) = -4, what two points must be
on the function g?
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In 2007 the population of the town of
Cartersville was 24,455. If the
population is growing by 3% per year,
what is the best prediction of the
population in the year 2015?
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State the domain and range of the
following function:
𝑥−1
𝑓 𝑥 = −2
+4
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Bigmart is having a sale. Every item in the
store is 30% off. At the time of purchase,
sales tax of 7% is added on to the
discounted item. Write a function that
would model the discounted cost of the
item. Let C(x) represent discounted cost
and x represent the original cost.
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𝑥
The function 𝑓 𝑥 = 4 is an
exponential function. Find the average
rate of change for the function over
the interval 2 ≤ 𝑥 ≤ 6.
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If you know that the function 𝑓 𝑥 =
𝑥
𝑏 is a decreasing exponential
function, what must be true about the
value of b?
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Jeremy bought a new truck for $32,000.
The value of the truck depreciates 20%
per year. If Jeremy bought the truck in
2006, what was the value of the truck in
2010?
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This table shows the average low temperature,
in ºF, recorded in Macon, GA, and Charlotte, NC,
over a six-day period. Find the median and IQR
for each city.
DAY
1 2 3 4 5 6
Temperature in Macon, GA (in 71 72 66 69 71 73
F)
Temperature in Charlotte, NC 69 64 68 74 71 75
(in F)
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A reading teacher recorded the number of
pages read in an hour by each of her students.
The numbers are shown below.
44, 49, 39, 43, 59, 44, 45, 49, 50
Does the data set contain outliers? How do you
know?
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If the correlation coefficient for a
linear regression model is 0.523,
what does that suggest about the
data?
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The frequency distribution compares the gender of
a surveyed individual to their geographic region.
What percent of
individuals surveyed
were female from the
west?
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The graph below displays the money made off of
ice cream sales over the course of the year.
If the owner expects sales in
August to be 10% higher
than July, how much should
sales be in August?
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Four wrestlers make a pact to lose some weight
before the competition. They lose an average of 7.4
pounds each over the course of 3 weeks. Carlos
loses 6.2 pounds, Steve loses 3.4 pounds, and
Greg loses 9.5 pounds. How many pounds does
Wes lose?
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A small company did an analysis if
their pay scale versus years of
experience and found that the line
of best fit was y = 2035.6x +
36,000. What does the 2035.6
mean in context of the problem?
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Find the mean absolute
deviation for the following
data set.
12, 16, 7, 10, 5
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Victor, Vladimir, Venus, and Vivian each have a different set of
data points. Each used the linear regression feature of his/her
graphing calculator to find a linear function that models his/her
data.
The value of the correlation coefficient (r) associated with Victor’s
function was –0.91, the value or r for Vladimir’s function was
0.73, the value of r for Venus’s function was –0.44, and the value
of r for Vivian’s function was 0.88.
Who has the BEST model for his or her data?
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The frequency distribution compares the gender of
a surveyed individual to their favorite subject.
What percent of male
students surveyed
responded with reading
as their favorite
subject?
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The graph shows a scatterplot, along with the best fit
line. The points A, B, C, and D are not part of the set.
Adding which point will most DECREASE the slope of the
line? Explain.
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Points A and B are graphed on the coordinate plane
below. Find the coordinate of a point C in the first
quadrant that would make ∆ABC an isosceles right
triangle.
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1
An equation of line a is y   x  2
2
Which is an equation of the line that is
perpendicular to line a and passes through the
point (–4, 0)?
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Parallelogram ABCD has vertices as shown. Find the
area of ABCD.
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Triangle ABC has vertices as shown. What is the area
of triangle ABC?
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A parallelogram has vertices at
(0, 0), (0, 6), (4, 4), and
(4, –2). Describe a single
transformation that will map
the parallelogram to itself.
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Line segment MN has endpoints
M(-6, -5) and N(10, 1). Write the
equation of the perpendicular
bisector of MN.
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Given the points P(-5, 6) and Q(10, 1),
what are the coordinates of the point on
directed line segment PQ that partitions PQ
in the ratio 2
3
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Function f(x) is defined by the following ordered
pairs:
(-4, -6)
(-3, 3)
(2, 6)
(5, -4)
What would be the ordered pairs for the function
g(x) = f(-2x) – 3?
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Triangle ABC has vertices A(-2, 10),
B(2, -8), and C(4, 6). ABC is dilated
by ½ about the point (-2, 0), rotated
90º, and reflected in the line y = x.
What are the coordinates of the
resulting image?
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Parallelogram ABCD has vertices as shown. Find
the perimeter of ABCD. Round to the nearest
tenth.
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Write an equation of the line that
1
is parallel to y = x + 3 and
2
passes through the point (10, -5).
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Triangle ABC has vertices as shown. What
is the perimeter (to one decimal place) of
triangle ABC?
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Function f(x) is defined by the following ordered
pairs:
(-4, -6)
(-3, 3)
(2, 6)
(5, -4)
What would be the ordered pairs for the function
1
g(x) = − f(x – 4)?
3
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