Distributive Law

Positive Distribution

100

Simplify 2(x+1)

2x+2

200

Simplify 5(x+7)

5x+35

300

Simplify 19(x+10)

19x+190

400

Simplify x(3x+5)

3x²+5x

500

Simplify 7x(2x+3)

14x²+21x

Negative Distribution

100

Simplify 3(x-2)

3x-6

200

Simplify 7(-x-2)

-7x-14

300

Simplify -8(x-12)

-8x+96

400

Simplify -x(-2x+5)

2x²-5x

500

Simplify -8x(-3x+11)

24x²-88x

Multiple Variables

100

Simplify a(a+b)

a²+ab

200

Simplify 3a(2b+a)

3a²+6ab

300

Simplify 7a(12ab+9b)

84a²b+63ab

400

Simplify 9ab(2a+ab)

9a²b²+18a²b

500

Simplify 12ab²(3ab+12a)

36a²b³+144a²b²

Multiple Parts

100

Simplify 7(x+3)+4

7x+25

200

Simplify 3(x-4)+6

3x-6

300

Simplify -10(x+6)-43

-10x-103

400

Simplify 3(x+2)+4(x-5)

7x-14

500

Simplify 7(x-2)-3(x+5)

4x-29

Miscellaneous

100

A positive value multiplied by a positive value will give a positive or a negative answer?

Positive Answer

200

A negative value multiplied by a negative value will give a positive or a negative answer?

Positive Answer

300

Fill in the gap to make this equation true:
9a(-3ab+4b)=_____+36ab

-27a²b

400

What would be the highest power of 'b' in this equation once simplified?
13b³(7a¹⁵b⁹+12b¹¹)

14

500

What would be the highest power of 'a' in this equation once simplified?
6a³b⁵(3b¹⁰+9a¹²b⁷)+7a⁹(19b+12a²)

15