Algebra I Semester II Review

Exponents and Radicals

100

Solve 

sqrt42 * sqrt42

42

200

Simplify the radical

sqrt(63)

3sqrt7

300

Simplify using properties of exponents

((x^3*x^12)/(x^5))^3

x^30

400

Simplify the expression

sqrt(121a^4b^9)

11a^2b^4sqrt(b)

500

Rationalize the Denominator 

(7sqrt(13))/(9sqrt2)

(7sqrt(26))/18

Polynomial Addition and Subtraction

100

Which of the follwoing are like terms?

8b^5        8b      2b^5     8a^5

8b^5      2b^5

200

Simplify

(3x^2+4x^4+10)+(7x^3+9x+15x^5)

15x^5+4x^4+7x^3+3x^2+9x+10

300

Simplify

(8x^2+12x^3+6x)+(14x+12x^2+10)

12x^3+20x^2+20x+10

400

Simplify

(18x^4+10x^2+5x)-(7x^2-7x+25)

18x^4-3x^2+12x-25

500

Simplify

(24x^3+8x^2-9)-2(10x^3-8x^2-10)

4x^3+24x^2+11

Polynomial Multiplication and Division

100

Multiply

15x^2(4x^3+2x)

60x^5+30x^3

200

Multiply

(8x-2)(8x+4)

64x^2+16x-8

300

Divide

(40x^10y^5+24x^4y^4)/(x^4)

40x^6y^5+24y^4

400

Divide

(42a^7b^2+49a^3b^3+7a^5b^6)/(7a^3b^2)

6a^4+7b+a^2b^4

500

Multiply

(2x+3)(4x^3+5x^2-x)

8x^4+22x^3+13x^2-3x

GCF, Factoring, and Solving Quadratics

100

Factor the binomial

66y^3+36y^4

6y^3(11+6y)

200

Factor the quadratic

x^2+2x-63

(x+9)(x-7)

300

What are the solutions of the quadratic equation:

(x-20)(9x+1)=0

{20,-1/9}

400

Factor 

2x^2+36x+64

(2x+4)(x+16)

500

Find the solutions of the equation

3x^2+35x=12

{1/3,-12}

General Trivia

100

Where were the last summer Olympics held?

Tokyo

200

Who is the highest paid athlete of all time by career earnings?

Michael Jordan ($1.85 billion)

300

What is the most viewed video on Youtube?

Baby Shark Dance

400

What is the "youngest country" in the world? Which country was founded most recently?

South Sudan (2011)

500

Which two countries fought against each other in the Hundred Years' War?

England and France