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EOCT Review
Accel Geometry
1.
Which expression is not a factor of 𝑥 4 − 16?
A. X – 2
B. x + 2
C. x – 4
D. 𝑥 2 + 4
2.
The distance in meters traveled by a skateboard on a ramp is related to the time traveled t in
seconds. This is modeled by 𝑑(𝑡) = −4.9𝑡 2 − 2.3𝑡 + 5. What is the maximum distance the
skateboard can travel, and at what time would it achieve this distance?
A. 5 meters at 0 seconds
B. 0.23 meters at 4.73 seconds
C. 4.73 meters at 0.23 seconds
D. 5 meters at 0.47 seconds
3.
What value of b makes 𝑥 2 + 𝑏𝑥 − 2 factorable?
A. -2
B. 0
C. -1
D. 3
4.
The parent function 𝑦 = 𝑥 2 is reflected across the x-axis, vertically stretched by a factor of 10,
and translated 10 units right to create g(x). Use the description to write the quadratic function
in vertex form.
A. 𝑦 = 10(𝑥 + 10)2
B. 𝑦 = −10(𝑥 − 10)2
2
C. 𝑦 = 10(𝑥 − 10)
D. 𝑦 = −10(𝑥 + 10)2
5.
Write the equation in standard form of the parabola with vertex (3, 0) and directrix y = 5.
−1
A. 𝑦 = −(𝑥 − 3)2
B. 𝑦 = (𝑥 − 3)2
C. 𝑦 =
−1
(𝑥
4
2
− 3)
D. 𝑦 =
5
−1
(𝑥
20
− 3)2
6.
The points (-1, 1) and (3, -5) are endpoints of a diameter of a circle. What is the equation in
standard form?
A. (𝑥 + 1)2 + (𝑦 − 2)2 = 13
B. (𝑥 − 1)2 + (𝑦 + 2)2 = 13
2
2
C. (𝑥 + 1) + (𝑦 − 2) = 26
D. (𝑥 − 1)2 + (𝑦 + 2)2 = 52
7.
What is the center of the circle with equation 𝑥 2 + 𝑦 2 − 10𝑦 = 75?
A. (0, 5)
B. (0, -5)
C. (0, 10)
D. (0, -10)
8.
What is the equation that represents the parabola with directrix x = -5 and focus (5, 0)?
−1
1
1
−1
A. 𝑥 = 𝑦 2
B. 𝑥 = 𝑦 2 C. y= 𝑥 2
D. 𝑦 = 𝑥 2
20
9.
20
20
20
A grab bag contains 8 football cards and 2 basketball cards. An experiment consists of taking
one card out of the bag, replacing it, and then selecting another card. Determine whether the
events are independent or dependent. What is the probability of selecting a football card and
then a basketball card?
A. Independent, 0.18
B. Dependent, 0.64
C. Dependent, 0.04
D. Independent, 0.16
1−3𝑖
10. What is the standard form of the expression 2+5𝑖?
A.
1
2
3
− 5𝑖
B.
5
14
9
+ 14 𝑖
C.
−13
11
− 29 𝑖
29
D. 8 − 4𝑖
Name: __________________________________________________________________ Period: ___
EOCT Review
Accel Geometry
11. Which expression can be used to find the value of x in the diagram?
12
𝑥
A. 𝑐𝑜𝑠55° =
B. 𝑐𝑜𝑠35° =
C. 𝑐𝑜𝑠35° =
𝑥
12
𝑥
D. 𝑐𝑜𝑠55° =
𝑥
12
12
x
12
35
12. The base of an isosceles triangle is 58 yards long. The altitude to the base is 80 feet long. What
is the measure of a base angle?
A. 20
B. 43
C. 69
D. 70
13. What is the perimeter of a 45-45-90 triangle with hypotenuse length of 28 feet?
A. 56 ft
B. 64.5 ft
C. 67.6 ft
D. 84 ft
̅̅̅̅ ≅ 𝑈𝑉
̅̅̅̅ , 𝑅𝑇
̅̅̅̅ ≅ 𝑈𝑊
̅̅̅̅̅ , 𝑎𝑛𝑑 <
14. Two congruent triangles have the following corresponding parts: 𝑅𝑆
𝑅 ≅< 𝑈. Which is NOT necessarily a correct congruence statement?
A. ∆𝑅𝑆𝑇 ≅ ∆𝑈𝑉𝑊
B. ∆𝑆𝑇𝑅 ≅ ∆𝑉𝑊𝑈
C. ∆𝑇𝑅𝑆 ≅ ∆𝑉𝑊𝑈
D. ∆𝑇𝑅𝑆 ≅ ∆𝑊𝑈𝑉
15. The height of a toy rocket is graphed below. Which equation models the height of the rocket?
A. 𝑦 = 16𝑥 2 + 100𝑥
B. 𝑦 = −16𝑥 2 + 100𝑥
C. 𝑦 = −16𝑥 2 + 100
D. 𝑦 = 16𝑥 2 + 100
16. How can coordinate proof be used to prove two lines are parallel?
A. Show that the product of their slopes is -1
B. Show that the product of their slopes is 1
C. Show that the slopes are the same
D. Show that the y-intercepts are the same
17. A store is keeping track of the customers who enter a certain department and whether or not
they make a purchase. The results are shown below.
Men
Women
Bought
7
4
Did not buy
5
9
What is the probability that a customer from this group made a purchase?
A. 0.44
B. 0.56
18. Use the table from # 17 to find a man who did not make the purchase?
A. 0.36
B. 0.2
C. 0.28
D. 0.16
Name: __________________________________________________________________ Period: ___
EOCT Review
Accel Geometry
19. Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience.
Only 10 hew hires had prior experience without a college degree. What is the approximate
probability that a new hire has a college degree but no experience?
A. 0.39
B. 0.56
C. 0.43
D. 0.96
20. Every human has blood type A, B, O, or AB. 1/10 have type B and 23/50 have type O. What is
the probability that someone has blood type A or AB?
A. 0.44
B. 0.52
C. 0.48
D. 0.56
21. Of 50 students going on a class trip, 35 are student athletes and 5 are left-handed. Three
student athletes are left-handed. What is the probability that one of the students on the trip is
an athlete or is left-handed?
A. 0.2
B. 0.74
C. 0.5
D. 0.8
22. Identify the hypothesis of the conditional statement “Two angles are complementary if the sum
of their measures is 90 degrees.”
A. If
B. two angles are complementary
C. The sum of their measures is 90 degrees
D. Two angles are complementary if the sum of their measures is 90 degrees
23. GJ bisects <FGH, m<FGJ = 7x -9 and m<HGJ = 2x + 36. What is m<FGH?
A. 43
B. 86
C. 54
D. 108
24. An angle measuring 22 degrees is bisected. What is the measure of the angles that are formed?
A. 11
B. 33
C. 22
D. 44
25. Which conditional statement has the same truth value as this statement? “The sum of two odd
numbers is even.”
A. If two even numbers are added, then their sum is even.
B. If an even and odd number are added, then their sum is even.
C. If two even numbers are multiplied, then their product is odd.
D. If two odd numbers are multiplied, then their product is even.
26. Solve the system 𝑦 = 𝑥 2 + 3𝑥 + 3, 𝑥 − 𝑦 = −11.
A. (-2, 1) (4, 31)
B. (-4, 7) (-2, 9)
C. (-4, 7) (2, 13)
D. (2, 13) (4, 15)
27. What is the radius of the inside of the sewer pipe if the circumference of the outside of the pipe
is 12.56 feet?
A.
1 ft 6 in
B. 2 ft
C. 1.75 ft
D. 4 ft
Name: __________________________________________________________________ Period: ___
EOCT Review
Accel Geometry
Answer Key
1. C
2. C
3. C
4. B
5. D
6. D
7. A
8. B
9. D
10. C
11. A
12. B
13. C
14. C
15. B
16. C
17. A
18. B
19. A
20. A
21. C
22. C
23. D
24. A
25. A
26. C
27. C