Algebra Part 2

Distributive Property

100

4(2+5)

= 8 + 20

= 28

200

6(3x - 8)

= 18x - 48

300

11(x - y)

= 11x - 11y

400

7x(3x + 12y)

= 21x² + 84xy

500

8x²(9y + 10z)

= 72x²y + 80x²z

Factoring

100

12 + 20

= 4(3 + 5)

200

15x + 30

= 5(3x + 6)

300

6x² - 10x

= 2x(3x - 5)

400

2x - 14 + 10y

= 2(1x - 7 + 5y)

500

4x + 48 - 32y

= 4(1x + 12 - 8y)

Simplifying Expressions (like terms)

100

2a + 6a

= 8a

200

6m + 3n + 8m + 5n

= 14m + 8n

300

3(x + 7) + 5

= 3x + 35 + 5

= 3x + 40

400

5(4x + 3) - 10

= 20x + 15 - 10

= 20x + 5

500

8x + 4(6x + 9) - 12

= 8x + 24x + 36 - 12

= 32x + 24