Combining Like Terms and the Product Rule

Add

100

7x² + x²

8x²

200

y + y

2y

300

10ab + -2ab²

Already Simplified!

400

-4x³y³ + 2x³y³ +5

-2x³y³ + 5

500

10a² + -5a² + 4 + 2b + 9

5a² + 2b + 13

Subtract

100

10x - 5x

5x

200

9g - 10g

-g

300

10n - (-10n)

20n

400

12c² - 4c² - 8c²

0

500

15a²b³cd⁵ - 15a²b³cd⁵

0

Multiply

100

2a(3a)

6a²

200

(-3x²y)(4y²)

-12x²y³

300

2a(8ab)(-a²b)

-16a⁴b²

400

a²bc³(-a³b²c)(abc)

a⁶b⁴c²

500

-3(12c²d³)(-2c²d³)

72c⁴d⁶

Combo

100

(2y)(4y) - 5y²

3y²

200

5x³y² + 6x(11x²y²)

71x³y²

300

-10a²b²c² + 5(-2a²b²)(4c²)

-50a²b²c²

400

(6ab²)(-2ab⁸) – 4a²b¹⁰

-16a²b¹⁰

500

(5x²y)(-3x²) + (4x)(4x³y)

-x⁴y

Vocabulary

100

Coefficient

Letter in front of a variable

200

DAILY DOUBLE:

Product Rule

When you multiply monomials, ADD exponents

300

What is it called when you add monomials with the same variables and exponents?

Combining Like Terms

400

Name two types of solutions for systems on equations?

Ordered Pair (x,y), No Solution, Infinite Solutions

500

Name 2 methods for solving systems of equations.

Graphing, Substitution, Elimination