Polynomials

Simplify & Classify

100

Classify:

Polynomial with 7 terms

What is a 7-term polynomial

200

Simplify:

x² + 3x + 9(x + 5)

What is x² + 12x + 45

300

Simplify:

(a³ * a²)³

What is a¹⁵

Add Polynomials

100

Add x² + 5 and -6x² + 5x³ + 5

What is 5x³ -5x² + 10

200

Add ab²c + 5a and -6a + 5ab²c³ + 5

What is 5ab²c^{3 +} ab²c - a + 5

300

Solve:

(13n + 11n − 2n) + (−13n − 3n − 6n)

What is 0

Subtract Polynomials

100

Subtract ab²c + 5a from -6a + 5ab²c³ + 5

What is 5ab²c³ - ab²c - 11a + 5

200

Subtract 5a² from ab² + 6a² - 2

What is  ab² + a² - 2

300

Solve:

(5a + 4) − (5a + 3)

What is  1

Multiply Polynomials

100

Multiply x + 2 and 5x + 1

What is  5x² + 11 x + 3

200

Multiply 2p - 5 by p - 1

What is  2p² - 7p + 5

300

Multiply 3n + 4 by 2n + 3

What is  6n² + 17n + 12

Laws of Exponents

100

The law that says: (a^b)^m = a^bm

What is Power of Powers 

200

Law that says: (r⁵)/ (r³) = r²

What is Quotient of powers

300

Use the laws to simplify:

[(3a^-4)/b⁷]³ * a⁴

What is   27/(a⁸b⁷)