Algebra 2 Total Review

Unit 1

100

Simplify.

√-8

2i√2 or 2√2i

200

Solve

(-2 + 8i) - (4 + i)

-6 + 7i

300

Solve.

√-24 x √-42

-12√7

400

Simplify.

4-9i / -7+8i

-100 + 31i / 113

500

Solve.

2(1-5i)(-3-6i)

-16 + 8i

Unit 2

100

Simplify.

(r³ -6r² +r⁴) + (4 - 5r⁴ + 4r²) - (8r + 3)

-4r⁴ + r³ - 2r² -8r + 1

200

What is g(f(1)) when

f(x)= -2x-2 

g(x)= 4-7/3x

40/3

300

b[a[a(-2)]] when

a(m)= 2m+4

b(k)= 6k-3

21

400

2x² - 15 = -7x

{3/2, -5}

500

Solve by using Binomial Theorem.

(x+3)⁴

x⁴ + 12x³ + 54x² + 108x + 81

Unit 3

100

Solve. 

y= 2/5x⁶ + 8

y= 6√5/2(x-8)

200

State the number of complex zeros and the possible number of real and imaginary zeros.

f(x) = x³ - x² - 47x + 123

# of complex zeros: 3

Possible # of real zeros: 3 or 1

Possible # of imaginary zeros: 2 or 0

300

Solve.

f(x) = 3x³ - 7x² + 5x - 1

{1/3, 1 mult. 2}

400

Given that g(x) is an odd function, and that g(2.5)=4, would that make g(-2.5) = -4?

Yes

500

Using remainder theorem, check if the given binomial is a factor.

(9m³ - 35m² -54m +15) / (m-5)

NO

Unit 4

100

What is an asymptote?

A line that the function never touches.

200

What is the horizontal asymptote of:

f(x) = x³+x² -5x+1  /  x-3

There is no horizontal asymptote.

300

State the excluded values.

30v-36 / 42v

5v-6 / 7v ; {0}

400

Write a rational function with the given characteristics.

There are no zeros, a hole exists at x = –3/2, vertical asymptote is at x = 1, and horizontal asymptote is at y = 0.

y= (2x+3) / (2x+3)(x-1)

500

1/3x = 1/x + x-4/ 3x²

{4/3}

Mystery round

100

what is i⁸⁰⁵

i

200

71290 ÷ 10

7129

300

10 x 4²

160

400

What is a parabola?

A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and; a fixed straight line (the directrix ).

500

Who is the best math teacher?

MISS MENON