Algebra 2

Unit 1

100

Find the x-intercepts of f(x)=(x+5)(x-7)

(-5,0)(7,0)

200

Make f(x)=(x-3)(x+7) into a standard form.

X²+4x-21

300

What is the vertex form of y=(x+5)²

(-5,0)

400

Solve for x.

(5x-3)²=25x²+20x-91

x=2

500

Convert from Standard form to Factored form.

2x²-8x=0

(0,0)(4,0)

Unit 2

100

What is the degree of f(x)=-(x+2)(x-2)²

3

200

What is the degree of f(x)=-(x+2)²(x-7)²

4

300

What are the zero of f(x)=(x+20)2(-4x+10)

(-20,0)(2.5,0)

400

Find all points of intersections.

f(x)=(x+7)(x-4) and g(x)=x-4

(-6,-10)(4,0)

500

Write standard form polynomial in factored form.

y=x²+24x+95

(x+5)(x+19)

Unit 3

100

find root square 16

4

200

find the root cubed -1

-1

300

find the root cubed 8

2

400

find the root cubed 27

3

500

solve z²=7

z=2.66

Unit 4

100

Solve X²=20-84

64i and -64i

200

Simplify The expression Square root of -36

6i and -6i

300

Solve (-3+2i)+(4-5i)

1-3i

400

solve the equation x²+25=0

x= -5i or 5i

500

Solve the equation (-3+9i)(5i)

-45-15i

Challenge

100

write an equation for a circle that has a radius of 4 and a center at (5,-6)

(x-5)²+(y+6)²=4²

200

write an equation for a circle that has a radius of 1/2 and a center at (0,9)

x²+(y-9)²=(1/2)²

300

identify the radius and center of the circle given by equation (x+9)²+(y-1)²=36

H,K:-9,1   R=6

400

solve

[[4,3],[-2,5]] + [[6,0],[-3,4]]

[[10,3],[-5,9]]

500

solve

[[4,-7],[-4,-1]] * [[-5,-3],[-1,-1]]

[[-13,-5],[21,13]]