Honors Geometry Summer Math Packet Answers
1.
2. 10𝑥 ! − 3𝑥 − 18 or its equivalent
3.
4. -5 and 3 2
5 5
5. n = ⎧⎨ ,− ⎫⎬
⎩ 3
3 ⎭
6. -4.2 to -4
7. a) c = 5
b) b = 12
c) a = 6
d) c =
98 or approximately 9.9
Honors Geometry Summer Math Packet Answers
8. 9
9. d =
20 or approximately 4.47
10. d =
234 or approximately 15.3
11. d =
78.25 or approximately 8.85
12. d =
( J − P) 2 + ( K − Q) 2
13. a) 17 + 2𝑤 13 + 2𝑤 = 396 or its equivalent
b) w =
5
or equivalent values
2
14. D
15. 2𝑡 + 3𝑡 = 24 or an equivalent equation
16. Sample Response:
I would buy the ticket from Airline P. Both airlines are likely to have an ontime arrival since they both have median values at 0. However, Airline Q has
a much greater range in arrival times. Airline Q could arrive anywhere from
35 minutes early to 60 minutes late. For Airline P, the flights arrived within
10 minutes on either side of the scheduled arrival time about 2/3 of the time,
and for Airline Q, that number was only about 1/2. For these reasons, I think
Airline P is the better choice.
Honors Geometry Summer Math Packet Answers
17. Sample response:
Tina is incorrect because some orders of basic transformations do not
produce the same results. Suppose we move triangle A 2 units to the right
first. The point (4, 3) is then (6, 3). Then, we take the reflection across the
x-axis, which makes that point (6, -3). A reflection of (6, -3) across the yaxis gives us (-6, -3), which is not one of the vertices of triangle A’.
Therefore, the basic transformations done in any order do not produce the
same result.
18. B
19.
20. (𝑥 + 3)(𝑥 + 1)
21. 5(𝑥 ! + 5)
22. (2𝑥 + 5)(𝑥 − 2)
23. (3𝑥 − 4)(𝑥 + 2)
24. (𝑥 − 6)(𝑥 + 2)
Honors Geometry Summer Math Packet Answers
25. -2(2𝑥 + 5)(2𝑥 − 5)
26. −4𝑥(3𝑥 − 1)
27. (𝑥 + 5)(𝑥 − 6)
28. (𝑥 + 9)(𝑥 − 2)
29. 𝑥 − 9 𝑥 − 1 = 0
𝑥 = 1 𝑜𝑟 𝑥 = 9
30. 3𝑥 2𝑥 − 5 = 0
𝑥 = 0 𝑜𝑟 𝑥 =
!
!
31. 𝑥 − 5 𝑥 + 7 = 0
𝑥 = −7 𝑜𝑟 𝑥 = 5
32. 𝑥 − 6 𝑥 − 6 = 0
𝑥=6
33. 𝑥 − 2 𝑥 + 8 = 0
𝑥 = −8 𝑜𝑟 𝑥 = 2
34. 2𝑥 + 7 𝑥 + 1 = 0
!
𝑥 = − 𝑜𝑟 𝑥 = −1
!