Semester 2 Review

Polynomials

100

Simplify:

2x²(4x-x²+3)

-2x⁴+8x³+6x²

200

Multiply:

3x(5x+8)

15x²+24x

300

Simplify:

(3x-6)(5x+9)

15x²-3x-54

400

Simplify:

(x²+5x-4)-(3x²-2x+5)

-2x²+7x-9

500

(x³-5x+2)+(3x²-2x+4)-(3x³-x²-7x+2)

-2x³+4x²+4

Exponent Rules

100

Simplify

(3x)^2

9x^2

200

Simplify 

\frac{a^4b^3}{a^6b^2}

\frac{b}{a^2}

300

Simplify

x^7y^5 \cdot (2x^2y)^3

8x^13y^8

400

Simplify

\frac{15p^6}{3p^8}

\frac{5}{p^2}

500

Simplify

\frac{(4c^4d^5e^3)}{8cd^2e^3}

\frac{c^3d^3}{2}

Quadratics

100

Factor 

3x^2 - 9x -12

3(x + 1)(x - 4)

200

Find the y-intercept of 

x^2 + 18x - 5

(0, -5)

300

Find the vertex of 

5x^2 - 10x + 1

(1, -4)

400

Solve using the quadratic equation 

5x^2 - 3x - 4

x = 1.243 and x = -0.643

x=(3+-sqrt(89))/10

500

Find the x-intercepts, y-intercept, and vertex of 

x² - 16

x-intercepts: (-4, 0) and (4, 0)

y-intercept: (0, -16) 

vertex: (0, -16)

Simplifying Radicals

100

Simplify

\sqrt200

10\sqrt2

 

200

Simplify

-\sqrt200

-10\sqrt2

300

Simplify

5\sqrt550

25\sqrt22

400

Simplify

\sqrt{256x^3}

16x\sqrtx

500

Simplify

\sqrt{x^7y^8z^3}

x^3y^4z\sqrt{xz}

Trivia

100

What are the names of the 7 dwarfs?

sleepy, sneezy, dopey, grumpy, happy, bashful, doc

200

What room number is this?

Teams who leave the room are disqualified from this question! :) 

2064

300

What is the largest country in the world?

Russia

400

The first iphone was released in what year?

2007

500

What is the most popular color of crayola crayon?

blue