Multiplication (Monomials/Polynomials)

Powers of Monomials

100

Simplify: 

1. (x²)(x⁴)

2. (x²)⁴

1. x²⁺⁴ = x⁶

2. x^2x4 = x⁸

200

Simplify: 

1. (2a²)³

2. (2a³)²

1. (2)³(a²)³ = 8a⁶

2. (2)²(a³)² = 4a⁶

300

Simplify: 

(a²b⁵)³

(a²)³(b⁵)³= a⁶b¹⁵

Multiply Monomial by Polynomial

100

Simplify: 

3(x + 2)

3x + 6

200

Simplify: 

6(2 - y)

- 6y + 12 

300

Simplify: 

a(a² - 2a + 3)

a³ - 2a² + 3a 

Multiply Polynomial by Polynomial

100

Simplify: 

(y + 3)(y + 2)

y² + 5y + 6

200

Simplify: 

(a + 4)(a - 1)

a + 3a - 4

300

Simplify: 

(2x - 1)(x - 5)

2x² - 11x + 5

Transforming Formulas

100

Solve for x: 

1. b = x + a

2. s = a + b + x

1. x = b - a

2. x = s - a - b

200

Solve for a: 

F = ma

a = F/m

300

Solve for m: 

d = m/v

m = dv