CCGPS Analytic Geometry Practice EOCT
Name:_______________________
1. Points A, B and C are on circle P.
What is the
A. 84 degrees
, if the measure of angle APB is 84 degrees?
B. 276 degrees
C. 156 degrees
D. 216 degrees
2.
DEGF is a parallelogram and EF is
a diagonal of DEGF.
Given:
D
Prove:
G
Proof:
Statements
Reasons
1. DEGF is a parallelogram.
1. Given
2. DE
FG and DF
2. Definition of a Parallelogram
3. EF
EF
4.
6.
3. Reflexive Property
DEF
DFE
5. DFE
D
EG
GFE and
GEF
4. Alternate interior angles are congruent.
GEF
5.
G
6. CPCTC
Which reason completes the proof?
A. AA
B. SAS
C. AAA
D. ASA
3. Which of the following represents the graph of the equation y = -x2 + 2?
W.
X.
Y.
Z.
A. Y
B. Z
C. W
D. X
4. Kendra is ordering a bird from an online pet store. The online pet store only sells white
birds with blue or green markings and yellow birds with brown or black markings.
The website states that the probability of getting a bird with green markings is 4/13. What is
the probability of getting a bird without green markings?
A.
9
/13
B. There is not enough information.
C.
5
/13
D.
4
/13
5. At the school carnival, while standing on a platform, Jen tossed a bean bag from a height
of eight feet. Below is a graph of the bean bag's trajectory. Match the graph to the equation.
A.
-1
(x + 4)2 + 10
y =
8
B.
-1
(x - 4)2 + 10
y =
8
C.
-1
x2 + 10
y =
8
D. y = -(x - 4)2 + 10
6. Simplify the following expression.
A.
B.
C.
D.
7. Determine the following product.
A.
B.
C.
D.
8. If m QSR is 39°, what is the measure of arc QR?
A. 39°
B. 19.5°
C. 78°
D. 282°
9. Which of the following is equivalent to
?
A.
B.
C.
D.
10. Solve for x.
A.
B.
C.
D.
11. To aid in her understanding of the math problem, Theresa is graphing the equations
y = x2 and y = x2 + 4. How does adding the number 4 to x2 change the graph of y = x2?
A. The graph of x2 is shifted 4 units downward.
B. The graph of x2 is shifted 4 units to the left.
C. The graph of x2 is shifted 4 units upward.
D. The graph of x2 is shifted 4 units to the right.
12. Is triangle EFG congruent to triangle JKL?
A. Yes. Triangle EFG was reflected across its side EG, translated
5 units to the left, and translated 6 units down to create
triangle JKL.
B. No. Triangle EFG is not congruent to triangle JKL.
C. Yes. Triangle EFG was reflected across its side EG, translated
6 units to the left, and translated 5 units down to create
triangle JKL.
D. Yes. Triangle EFG was reflected across its side FG, translated 5 units to the left, and translated 2 units down
to create triangle JKL.
13. What are the roots of the quadratic equation x2 - 19x + 84 = 0?
A. 7 and 12
B. -7 and -12
C. -7 and 12
D. 7 and -12
14. Solve:
y = 2x2 + 49
y = 14 - 19x
A. {(-5/2 , 123/2) , (7 , -119)}
B. {(-5/2 , 123/2) , (-7 , 147)}
C. {(1 , -5) , (2 , -24)}
D. {(0 , 49) , (3 , 67)}
15. Determine which answer choice below is equivalent to the given expression by
completing the square.
A.
B.
C.
D.
16. Which of the following is equivalent to
?
A.
B.
C.
D.
17. Which of these is equivalent to the equation below?
A.
B.
C.
D.
18. What is the approximate area of the shaded region given
x = 4 units?
A. 36.41 square units
B. 64.12 square units
C. 9.1 square units
D. 13.82 square units
19. The vertices of a triangle are Q(-5,4), R(3,4), S(-7,-4)
Which of the following correctly classifies the triangle?
A. The triangle is an acute isosceles triangle.
B. The triangle is an obtuse isosceles triangle.
C. The triangle is an obtuse scalene triangle.
D. The triangle is a right isosceles triangle.
20. In a group of 620 people who attended a youth conference, 465 are teenagers and 279
are females. Exactly two-thirds of the attendees who were teenagers are males. If a person
is randomly selected, what is the probability that the person is a teenager or a male?
A.
B.
C.
D.
21. If the side length, s, is 5 cm and the altitude, h, is 7 cm,
what is the volume of the pyramid?
A. 11.67 cm3
B. 175.00 cm3
C. 58.33 cm3
D. 233.33 cm3
22. Tokyo-Moto Quad Racers found that its daily profit, P, in thousands, is given by
P = -9x2 + 90x - 183
where x is the number of Quad Racers manufactured daily. Which of the following is the best
estimate for the maximum profit the manufacturer can earn per day, in thousands?
A. 45
B. 42
C. 47
D. 14
23. Which type of construction is illustrated below?
A. a perpendicular line
B. a 60° angle
C. an angle bisector
D. a congruent angle
24. Julie is rolling a six-sided die. Her chances of rolling a one are 1/6. Her chances of rolling
an odd number are 1/2. Are these events independent or dependent and why?
A. These events are independent, because probability of rolling a one given the probability of rolling an odd
number is equal to the probability of rolling a one.
B. These events are dependent, because probability of rolling an odd number given the probability of rolling a
one is not equal to the probability of rolling an odd number.
C. These events are independent, because probability of rolling a one given the probability of rolling an odd
number is equal to the probability of rolling an odd number.
D. These events are dependent, because probability of rolling a one is not equal to the probability of rolling an
odd number.
25. Which of the following is equivalent to the expression below?
A.
B.
C.
D.
26. Which theorem of congruence should be used to prove
EFG
MLK?
A. Side-Side-Side (SSS)
B. Angle-Angle-Side (AAS)
C. Angle-Side-Angle (ASA)
D. Side-Angle-Side (SAS)
27. Rewrite the following equation in the center-radius form of the equation of a circle.
x2 - 4x + y2 - 2y - 4 = 0
A. (x - 2)2 + (y - 1)2 = 9
B. (x - 4)2 + (y - 0)2 = 9
C. (x - 3)2 + (y - 3)2 = 9
D. (x - 4)2 + (y - 2)2 = 9
28. Harbor One Marina rents pontoon boats for a flat fee of $26.50, but then charges a fuel
surcharge of $6.50 per hour.
Which equation expresses C, the true cost of renting a pontoon boat for h hours?
A. C = 26.5(h + 6.5)
B. C = 26.5h + 6.5
C. C = 6.5(26.5 + h)
D. C = 26.5 + 6.5h
29. The measure of PQR is 75°. The length of radius QR is 7 inches. What is the area of
sector PQR? (Use 3.14 for .)
A. 32.05 in2
B. 4.58 in2
C. 64.14 in2
D. 9.16 in2
30. A restaurant has 10 chicken dishes on the menu. It has 7 chicken dishes with pasta, and
15 pasta dishes. What is the probability that a dish has pasta given that it is chicken?
A.
B.
C.
D.
31. Two wires are attached to a pole and create similar
triangles with the ground. The longer wire is attached to
the ground 36 feet from the base of the pole and the
shorter wire is attached to the ground 18 feet from the
base of the pole.
If the cosine of the angle formed by the shorter wire and
the ground is
A. 222 feet
B. 111 feet
C. 74 feet
D. 148 feet
, what is the length of the longer wire?
32. If = 58° and n = 75 in, what is the value of m to the nearest tenth of an inch?
A. 63.6 in
B. 141.5 in
C. 120 in
D. 130.8 in
33. The manager of a gas station has attached a cable with flags on it to a light pole in order
to attract more business. The cable is attached 15 feet above the base of the light and forms
a 50° angle at the ground.
Which equation can be used to find the length of the cable, r?
A.
B.
C.
D.
34. Find the focus of the parabola below.
A. (2,7)
B. (3,6)
C. (7,2)
D. (6,3)
35. Which is an equation for the parabola that has vertex (-3,-2) and passes through the
point (-1,-14)?
A. y = -3x2 - 18x - 29
B. y = 3x2 - 18x + 25
C. y = -4x2 - 24x - 38
D. y = -3x2 + 18x - 29