Polynomials

Combine Like Terms

100

Simplify: 3x + 5x

8x

200

Simplify: 2y + 7 + 3y + 5

5y + 12

300

Simplify: 4a - 3b + 2a + 5b

6a + 2b

400

Simplify: 6x² + 2x - 4x² + 3x - 7

2x² + 5x - 7

500

Simplify: 8m - 4n + 3m² - 2m + 5n - m² - 6

2m² + 6m + n - 6

Multiplying Monomials

100

Multiply: 3x × 4x

12x²

200

Multiply: 2y² × 5y³

10y⁵

300

Multiply: (-6a³)(2a²b)

-12a⁵b

400

Multiply: (4x²y)(-3x³y²)

-12x⁵y³

500

Multiply: (-2m²n³)(5m⁴n)(3m⁵n²)

-30m¹¹n⁶

Divide Monomials

100

Simplify: 8x³ ÷ 2x 

4x²

200

Simplify: 10y⁶ ÷ 5y²

2y⁴

300

Simplify: (-12a⁵b²) ÷ (3a²b)

-4a³b

400

Simplify: (18x⁷y³) ÷ (-6x²y²)

-3x⁵y

500

Simplify: (24m⁸n⁵) ÷ (-4m³n²)

-6m⁵n³

Powers of Monomials

100

Simplify: (3x)²

9x²

200

Simplify: (y³)²

y⁶

300

Simplify: (2a²b)³

8a⁶b³

400

Simplify: (-4x³y²)²

16x⁶y⁴

500

Simplify: (2m³x²/5)³

8m⁹x⁶/125

Multiplying Binomials

100

Multiply: (x+2)(x+3) 

x²+5x+6

200

Multiply: (y−4)(y+5) 

y²+y−20

300

Multiply: (2x+3)(x−4) 

2x²−5x−12

400

Multiply: (3a−2b)(2a+5b) 

6a²+11ab−10b²

500

Multiply: (4x−3y)(2x+5y) 

8x²+14xy−15y²