Monomials

Vocabulary

100

Give an example of a monomial.

-12, x, 7b, -2g⁵h²

200

Give an example of a monomial that is a constant.

4, -5, 1240

300

Give an example of a monomial with a coefficient of 3.

3x, 3y²

400

Give an example of a monomial with an exponent of 5.

x⁵, a⁵b³c

500

Give an example of a trinomial.

4x²+6x-8

Adding & Subtracting Monomials

100

7x + 9x

16x

200

-12b² + 8b²

-4b²

300

-3m + 5 - 7m + 2

-10m + 7

400

6h³ + 2h² - 5h² + (-7h³)

-h³ - 3h²  or  -3h² - h³

500

3a² - 5a + 8a² - 7 + 8a - a² -3a + 2

2a² - 5

Product Rule

100

y⁴ · y³

y⁷

200

a^-5 · a³

a^-2  or  1/a²

300

5h³ · 2h⁴

10h⁷

400

(3gh⁴)(7g⁵h^-2)

21g⁶h²

500

(-2a^-2b⁵c)(-4ab⁶)(7a²b^-4c⁵)

56ab⁷c⁶

Quotient Rule

100

m⁶ ÷ m⁴

m²

200

a⁵ ÷ a⁸

a^-3 or 1/a³

300

18c⁶ ÷ 3c⁵

6c

400

24k⁴ ÷ 8k^-2

3k⁶

500

-35b^-4c⁵ ÷ 5b^-7c²

-7b³c³

Power Rule

100

(x⁴)³

x¹²

200

(a⁴b⁵c²)²

a⁸b¹⁰c⁴

300

(5m⁷)²

25m¹⁴

400

(3x^-3y⁵)³

27x^-9y¹⁵  or  27y¹⁵/x⁹

500

(-2rs²)⁴

16r⁴s⁸