Algebra 1 Review (Jackson & Eli)

Simplify Radicals

100

Simplify 2√54

What is 6√6

200

Simplify √25s⁶

What is 5s³

300

Simplify √245k³

What is 7k√5k

400

Simplify -6y√320a⁴b⁵

What is -48a²b³√5b

500

Simplify 2x²y³√135x⁶y¹¹

What is 6x⁵y⁸√15y

Converting equations to different forms

100

Convert x²=14x-45 to standard form

x²-14x+45=0

200

Convert x²=-4x+32 to vertex form

(x+2)²-36=0

300

Factor 4x²+100=-40x

4(x+5)(x+5)=0

400

Convert x²=5x to vertex form

(x-2.5)²-6.25=0

500

Factor p²-7=-12

p²+5=0

Exponential equations

100

Solve for V  

4^3v-3=64

v=2

200

Solve for r

27^r+1=243^r-2

r=13/2

300

Solve for P

(1/243)^2-2p=81^-2p+2

p=1

400

Solve for K

27^2-2k*243^-k=243

k=1/11

500

Solve for N

9^(3-2n)/(1/243)=9

n=9/4

Multiplying Radicals

100

Multiply √12*√6

6√2

200

Multiply √10x*√2x

2x√5

300

Multiply (2x√3x)(4√2x)

8x²√6

400

Multiply 5√2(3√14-√18)

30√7-30

500

Multiply (x+√8)(x-√18)

x²-x√2-12

Function notation

100

Find f(x)= -4x+7

When f(2)

=-1

200

Find g(t)=-4t²+22t+2

when 2g(1)

=40

300

Find f(x)= 6x+4 and h(x)= x²-4

when f(-5)-h(-8)

=-86

400

Find f(x)= 6x+4 and h(x)= x²-4

when (f+h)(x)

=x²+6x

500

f(t)=2t+5 and g(t)=t+5

Find f(t) * g(t)

=2t²+15t+25