Algebra Summer Math Packet Answers
1. The 2 mediums is a better deal because the area is higher (157.1 in2 compared to 153.9 in2) and it costs
less ($14 compared to $15).
2. Answers vary. One example: Supports: -8 + 4 = -4
3.
4.
5. Kim 31 miles/gallon; Justin 25 miles/gallon
Shows claim is false: -8 + 14 = 6
Algebra Summer Math Packet Answers
6.
7. Shortest side is 2; longest side is 4
8.
9.
10. h = 12 inches. Both will have a volume of 113.04 inches2.
11. D
Algebra Summer Math Packet Answers
12.
13. None are integers. All are irrational. None are rational. All are real.
14. 2 sectors need to be red. The rest can be green or blue.
15. Kyle increased the price of a bat instead of decreasing it. The bat should cost $81.
16.
a. t = -7
e. g = -3
b. m = 50
f. y = -24
c. r = 7.5
d. x = -39
b. t = -40
f. y = 0
c. x = 60
d. t = 11
g. infinite solutions h. y = ¼
17.
a. x = 3
e. r = -5
18. x < 5
x < -21
Algebra Summer Math Packet Answers
19.
y = 2x + 5
20. 9; 11; 8; -12
21. Slope = -3; y-intercept = 9
22.
a. 2, 5, 8 add 3
b. -96, -192, -384 multiply by 2
d. 9, 3, 1 multiply by 1/3
e. 4, -1, -6 add -5
c. 25, 36, 49 square numbers
f. 8, -8, 8 multiply by -1
g. 1, ½, ¼ multiply by ½
23.
a. 2a2b2c + a2bc
b. 18a5b8c2
e. 6y4 or 6x-2y4
x2
f. 1
x3
c. 25x6y8z2
or x-3
g. 2
d. 2x2y
h. 4
i. exponents must add up to 30
j. exponents must multiply to 48
k. three exponents must add up to 24
m. exponents must multiply to 24
24.
a. n is positive
b. n is < -7
c. -100 < n < -5
d. n is even
e. a is negative
Algebra Summer Math Packet Answers
25.
26.
a. c = 5
b. b = 12
c. a = 6
d. d ≈ 9.9
27.
a. length 1 = 6; length 2 = 10; length 3 = 14; length 4 = 18; length 5 = 22; length 6 = 26; length 7 =30;
length 8 = 34; length 9 = 38; length 10 = 42
b. 82; 226; 550
c. stickers = 4n + 2; where n = length of rod
28
a. sometimes, when y = 0
b. always
c. never
e. never
f. sometimes, when y = ¼
d. sometimes, when x = ± 10
Algebra Summer Math Packet Answers
29.
a. shaded square remains constant.
b. 1, 4, 7, 10, 13, 16, 19, 22, 25
c. arithmetic
d.
e. f(n) = 3n – 2
30. baseball hat = $24; cowboy hat = $28
31. 3 squares are needed to balance the circle.
32. s = 18
33. 7