Algebra II Final Review

Vocabulary

100

A numerical expression, variable, or symbol

Polynomial

200

The action of multiplying a number and an expression. In other words, multiplying the number to everything inside of parentheses. EX: 4(x+5)

What is Distributive Property 

300

What do we call letters in algebra?

What are Variables 

400

What is PEMDAS?

What are Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction?

500

What is the Pythagorean Theorem?

a²+b²=c²

Polynomials: Adding and Subtracting

100

4n5 + 6n5 – 11x4

What is a 10n5 – 11x4?

200

12y2 – 4x + 5x

What is 12y2 + x

300

(8n − 3n4 + 10n2 ) − (3n2 + 11n4 − 7)

−14n4 + 7n2 + 8n + 7

400

(5x3 + 2x2 - 4) - (3x3 - x2 - 5)

2x3 + 3x2 + 1

500

(3x2-8x+7)-(2x2-6x+12)

x2-2x-5

Polynomial Multiplication and Division

100

(2x+1)(3x2-4)

What is 6x3+3x2-8x-4

200

(3x2+6)(2x+x2)

3x4+ 6x3+ 6x2+ 12x

300

3x(x+1)

What is 3x2 + 3x

400

x2(3x+1)

What is 3x3+x2

500

(x+1)(x2+3x+1)

x3+4x2+4x+1

Radicals

100

2√8 x 3√ 6

What is 24√3

200

2√45−7√5

What is √5

300

7√20+6√5

20√5

400

2√243−7√3

2√3

500

Multiply the following radicals: 

(√10)(3√20)

30√2

Potpourri (Mixed Bag)

100

Simplify: -4(8x - 2) -2(4 - 3x)

38x

200

Complex Numbers 

(-15-3i)(10-4i) 

-162+30i

300

Simplify. Answer must contain positive exponents only.

7a2 - 17a - 3a2 + 2a

4a2 - 15a

400

  3 x 3 + 6 x 12 + 53 - 26

What is "108"?

500

Any number to the power of 0 is ___

1

EX: 8⁰ = 1