Algebra 2 Extreme

Unit 1

200

Convert Standard form to Vertex form.

y=x²-6x+8

(3,-1)

400

Convert Standard form to Factored form.

4x(x+3)=0

(0,0)(-3,0)

600

Convert Standard form into a vertex form.

y=2x²+8x-3

(-2,-11)

800

Edwin wants to spend no more than 20$ on groceries. Chicken(x) cost 7$ per pound while Steak(y) costs 2$ per pound.

Write an inequality.

7x+2y<20

1000

Determine if the statement is true or false when x=2.

X²+5x-20<10x-5

True

Unit 2

200

Solve f(x)=(x-3)(x+5)(x-20)

x³-18x²-55x+300

400

Rewrite each polynomial as a product of linear factors.

f(x)=x³-7x²-16x+112,(x-7)

x³-7x²-16x+112

600

Convert polynomial started to factored.

y=x³-6x²+11x-6

(x-2)(x-3)(x-1)

800

Convert standard polynomial to factored form.

y=x²+8x-9

(x-1)(x+9)

1000

Convert polynomial standard to factored form.

y=2x²-3x-5

(x+1)(2x-5)

Unit 3

200

solve y³=8

y=2

400

what does 9^1/2 equal to?

3

600

what does 9^1/2 multiplied by 9^1/2 equal to?

9

800

solve for q

q²=49

7 and -7

1000

simplify

root square 49/25

1.4

Unit 4

200

Solve (x-5)²=-1

x=5+i and x=5-i

400

what does i⁰ equal to?

1

600

solve x²-11x+8=0 in complex numbers

10.215 and 0.785

800

Let p=1+i and q=2-7i.

simplify pq

9-5i

1000

Let p=5+i and q=2+2i

simplify p+q

7+3i

Challenging

200

find components for a vector of length 20 that points in the same direction as <-8,6>

k=2

400

Let vector u=<3,4> and vector v=<-1,4>

what is 2u-v

<7,4>

600

rewrite the following in simplified radical form

25/ square root of 5

5 square root 5

800

find the dot product set vectors

K=[30,-2] and L=[5,12]

126

1000

find the dot product set of vectors

K=[-3,-2] and L=[11,17]

-67