Lesson 1 - Amazon Web Services1... · 0 5 10 15 20 25 30 35 United States Canada The rest of the...
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Lesson 1 Foundations of SAT Reasoning
Transcript of Lesson 1 - Amazon Web Services1... · 0 5 10 15 20 25 30 35 United States Canada The rest of the...
Lesson 1 Foundations of SAT Reasoning
2𝑥(𝑥 − 𝑦𝑥 + 1)(3𝑥 − 𝑥2) 2𝑥4 − 8𝑥3 + 6𝑥2 𝑥𝑦
𝑎 3
4𝑏
4𝑥3 − 3𝑥2 − 2𝑥 + 1 = 0 𝑥
2𝑥(𝑥 − 𝑦𝑥 + 1)(3𝑥 − 𝑥2) 2𝑥4 − 8𝑥3 + 6𝑥2 𝑥
4(2 − 𝑦) = 0
𝑥
2𝑥(𝑥 − 𝑦𝑥 + 1)(3𝑥 − 𝑥2) 2𝑥4 − 8𝑥3 + 6𝑥2 2(1)(1 − 1𝑦 + 1)(3(1) − (1)2) 2(1)4 − 8(1)3 + 6(1)2.
2(2 − 𝑦)(2) = 2 – 8 + 6 4(2 − 𝑦) = 0 2 – 𝑦 = 0 𝑦 = 2
𝑥, 𝑦 = 2𝑥 = 1 𝑦 = 2
𝑎 3
4𝑏
sin = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
𝑐𝑜𝑠𝑖𝑛𝑒 = 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
𝑡𝑎𝑛𝑔𝑒𝑛𝑡 = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
2𝑥(𝑥 − 𝑦𝑥 + 1)(3𝑥 − 𝑥2) 2𝑥4 − 8𝑥3 +6𝑥2 𝑦
𝑥 𝑥 = 1 𝑦
1.
2.
3.
𝑦 = (𝑥 – 3)2
𝑦 𝑦 𝑦
𝑦𝑥 = 3, 𝑦 = 0 𝑦
𝑦 ≥ 0𝑦 > 0
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35
United States Canada The rest of the world
Teams Eligible to Win The World Series
0 2000 4000 6000 8000 10000 12000 14000 16000
Brown
Columbia
Cornell
Dartmouth
Harvard
Penn
Princeton
Yale
0
5
10
15
20
25
30
35
40
45
Average Hours Worked Per Week
900
1000
1100
1200
1300
1400
1500
1600
0 10 20 30 40 50 60
SAT
Sco
re
Hours Studied
SAT Score vs. Hours Studied
38
62
45
20
612
115
102
28
15
0
20
40
60
80
100
120
140
13-18 19-35 36-55 56-65 66+
Age
Emails Sent Per Week, By Age Group
2005
2015
(𝑁𝑒𝑤−𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙)
𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙 × 100%
102−45
45 × 100% =
57
45 × 100% = 127%
(𝑁𝑒𝑤−𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙)
𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙 × 100%
15−6
6 × 100% =
9
6 × 100% = 150%
(𝑁𝑒𝑤−𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙)
𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙 × 100%
(115−62)
62 × 100% =
53
62=
38
62
45
20
612
115
102
28
15
0
20
40
60
80
100
120
140
13-18 19-35 36-55 56-65 66+
Age
2005
2015
