Polynomials

Identify Like Terms

100

Which terms are like terms in the expression: 3x+5+2x?

What is 3x and 2x?

200

Identify the like terms in: 4x²+7x−2x².

What is 4x² and -2x²?

300

Which terms can be combined in: 6y+3y²−4y?

What is 6y and -4y?

400

Identify all like terms in: 2a²b+5ab+7a²b-ab.

What is 2a²b and 7a²b; AND what is 5ab and -ab?

500

Why are 3x²y and 3xy² not like terms?

They have different variable exponents.

Adding Polynomials

100

Simplify: (x+3)+(2x+5).

3x+8

200

Simplify: (4x²+x)+(3x²−2x).

7x²-x

300

Simplify: (5y−4)+(2y+9).

7y+5

400

Simplify: (3x²+4x−1)+(x²−6x+8).

4x²-2x+7

500

Simplify: (2a²+3ab−b²)+(5a²−3ab+4b²).

7a²+3b²

Subtracting Polynomials

100

Simplify: (x+5)−(2x+3).

-x+2

200

Simplify: (4x²−x)−(x²+3x).

3x²-4x

300

Simplify: (6y−2)−(y+5).

5y-7

400

Simplify: (5x²+2x−9)−(3x²−4x+1).

2x²+6x-10

500

Simplify: (7a²−2ab+b²)−(4a²+ab−3b²).

3a²-3ab+4b²

Multiplying Monomials & Polynomials

100

Simplify: 3x(2x+4).

6x²+12x

200

Simplify: −2y(y−5).

-2y²+10y

300

Simplify: 4a(3a−2b).

12a²-8ab

400

Simplify: −3x²(2x−5)

-6x³+15x²

500

Simplify: 5m²(−2m+3n).

-10m³+15m²n

Multiply Binomials

100

Simplify: (x+2)(x).

x²+2x

200

Simplify: (x+3)(x+4).

x²+7x+12

300

Simplify: (2x−1)(x+5).

2x²+9x-5

400

Simplify: (3x+2)(x−4).

3x²-10x-8

500

Simplify: (2x−3)(x−5).

2x²-13x+15