MCR Final Project

Simplify Radicals

100

√63

3√7

200

√52x^4

2x^2√13

300

√112a^6

4a^3√7

400

2√7x * 3√14x^2

42x√2x

500

√72x^3z^3

6xz√2xz

Solving Linear Equations

100

5+14a=9a-5

a=-2

200

3(6-f)-4=3f-4

f=3

300

20-6+4k=2-2k

k=-2

400

7(y-3)=2(y-9)+2y

y=1

500

5(3x+2)-2=-2(1-7x)

x=-10

Quadratic Equations

100

5x^2+70x+245=0

x=-7

200

2x^2-40x+200=0

x=10

300

9+7x=7x^2

-7+-√301/-14

400

f(x)=x^2-6x+43

(x+-3)^2+34

500

3x-9x^2=-10

-1+-√41/-6

Identify The Degree Of A Polynomial

100

x^4-y^3+4xy^2

4

200

3xy-4x^7+2x^3

7

300

ab^2+a^2b^3-a^3b^1

5

400

6x^5+5x^4-3x^2+x^7

7

500

12x^2y^3+6xy^4z-2xz+1

6

Write The Equation Of A Circle

100

(x+3)^2 + (y+2)^2 = 9

What is the radius?

3

200

(x-5)^2 + (y+3)^2 = 36

What is the center?

x=5

y=-3

300

(x+2)^2 + (y+4)^2 = 4^2

What is the center and radius?

Center: (-2,-4)

Radius: 4

400

Given that x=5 and y=-6, and the radius is 8^2, write the equation of a circle in standard form. 

(x-5)^2 + (y+6)^2 = 8^2

500

x^2+y^2-8x+7=0

(x-4)^2 + y^2=9