Unit 1 Review- Algebra 2

complex numbers

100

Simplify: √(-64)

What is 8i ?

300

Simplify: (2+i) - 2(3-4i)

What is -4 + 9i ?

500

Solve and simplify: (2+3i)/(4-i)

What is (5+14i)/(17) ?

quadratics

100

Solve the following equations:

x² - 3x - 10=0

What is x=5 and x= -2 ?

300

Find the discriminate and interpret (state what it means) about the solutions: 3x² +2x - 8 = 0

What is d=100, two real solutions ?

500

Solve: 2x² -3x = 5

What is x=-1 and x=5/2 ?

absolute value

100

Solve:  |x-10|=40

What is x=50, and x=-30

300

|2x+5| = 17

What is x=6, and x= -11 ?

500

Solve: |2x+1| +10 = 8

What is No Solutions?

radical equations

100

Solve: √(x+2)=6

What is x=34 ?

300

Solve: √(x+6)= x

What is x=3 ?  (x=-2 is extraneous)

500

Solve: √(x+6)=x-6

What is x=10 ?  (x=3 is extraneous)

inequalities

100

Solve: 3x-5<2x+7

What is x<12 or (-inf, 12) ?

300

Solve:  |2x+1| > 5

What is -3>x>2, or (-inf, -3) U (2, Inf) ?

500

Solve: |3x+6| ≤ 12

What is -6 ≤ x ≤ 2 , or [-6,2] ?