Unit Plan

Scientific Notation

100

4,400,000 in scientific notation

4.4 x 10^6

200

7.5 x 10¹² in standard notation

7,500,000,000,000

300

8.3 x 10^-4 in standard notation

0.0008.3

400

(8.6 x 10¹²) / (4.2 x 10⁷)

2.3 x 10⁵

500

(5.0 x 10⁴) * (7.5 x 10⁵)

3.75 x 10¹⁰

Systems of Equations

100

y = 6x + 3

y = 2x + 4

(1/4, 9/2)

200

6x − 5y = 8

−12x + 2y = 0

(-1/3, -2)

300

x − 7y = − 11

5x + 2y = − 18

(-4, 1)

400

2x + 3y = 20

7x + 2y = 53

(7, 2)

500

−2x + 10y = 2

5x − 25y = 3

No Solution

Adding and Subtracting Binomials

100

(5x + 4) + (5x + 3y)

10x + 3y + 4

200

(a³ − 2a²) − (3a² − 4)

a³ - 2a² + 4

300

(−4k⁴ + 14 + 3k²) + (−3k⁴ − 14k² − 8)

-7k⁴ - 11k² +6

400

(8k + k² − 6 ) − (−10k + 7 − 2k²)

3k² + 18k − 13

500

(14p⁴ + 11p² − 9p⁵) − (−14 + 5p⁵ − 11p²)

−14p⁵ + 14p⁴ + 22p² + 14

Multiplying Binomials

100

(3n + 2) * (n + 3)

3n² + 11n + 6

200

(2n + 3) * (2n + 1)

4n² + 8n + 3

300

(5x − 2) * (5x − 8)

25x² − 50x + 16

400

(5x + 6) * (8x − 4)

40x² + 28x − 24

500

(8b − 1) * (5b − 5)

40b² − 45b + 5