algebra 2 tri-b review!. logarithmssolving polynomials compostion of functions & inverses...

Algebra 2 Tri-B Review!

Logarithms Solving Polynomials

Compostion of Functions & Inverses

Rational Expressions

Miscellaneous

200 200 200 200 200

400 400 400 400 400

600 600 600 600 600

800 800 800 800 800

1000 1000 1000 1000 1000

Logarithms 200

Write in exponential form:log328=3/5

Write in log form:90=1

Answer

Logarithms 200 Answer

log328=3/5 83/5=32

90=1 log91=0

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Logarithms 400

Condense: log25 + 2log2x+6log2y

Expand:

Answer

Logarithms 400 Answer

Condense:

log25 + 2log2x+6log2y = log25x2y6

Expand:

= 5logx+3logy-4logz

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Logarithms 600

Solve:

Answer

Logarithms 600 Answer

23x = 2-6

3x=-6

x = -2

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Logarithms 800

log2(8-5b) = log2(b+2)

log4 + logx = log64

Answer

Logarithms 800 Answer

log2(8-5b) = log2(b+2)

8-5b = b+26=6bb=1

log4 + logx = log64log4x = log64

4x=64x=16

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Logarithms 1000

-7 + 6log8 (9x-3) = -13

Answer

Logarithms 1000 Answer

-7 + 6log8 (9x-3) = -13x = 25/72

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Solving Polynomials 200

Write an equation for a polynomial with zeros 4, -1, and 9.

Make sure to foil completely!

Answer

Solving Polynomials 200 Answer

f(x) = (x-4)(x+1)(x-9)

f(x) = x3-12x2+23x+36

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Solving Polynomials 400

Find all the zeros using the graphing calculator:f(x) = 2x3 + 9x2 – 8x - 15

Answer

Solving Polynomials 400 Answer

x = -5, 3/2, 5

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Solving Polynomials 600

Answer

Find the remaining zeros.

Solving Polynomials 600 Answer

a = 1, b = 0, c = 4

x = 2i, -2i, 3

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Solving Polynomials 800

Find the remaining zeros: f(x) = x3 – 16x2 + 79x – 114; x=6

Answer

Solving Polynomials 800 Answer

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Solving Polynomials 1000

Find all the zeros: x3 + 64 =0

Answer

Solving Polynomials 1000 Answer

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Composition & Inverses of Functions 200

f(x) = 3x+2

g(x) = x2+3x

Find f(g(2)) and g(f(2)).

Answer

Composition & Inverses of Functions 200 Answer

f(g(2)) = -4

g(f(2)) = 88

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Composition & Inverses of Functions 400

Find the inverse of:

Answer

Composition & Inverses of Functions 400 Answer

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Composition & Inverses of Functions 600

h(x) = x2-x

g(x) = 3x+4

Find h(g(x)).

Answer

Composition & Inverses of Functions 600 Answer

h(x) = x2-x

g(x) = 3x+4

h(g(x)) = 9x2+21x+12

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Composition & Inverses of Functions 800

Find the inverse of f(x), then find f-1(f-1(x))(or “the composition of the

inverse with itself”)

Answer

Composition & Inverses of Functions 800 Answer

f-1(x) = 2x+8

f-1(f-1(x)) = 4x+24

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Composition & Inverses of Functions 1000

g(a) = a2 – 1

h(a) = 3a

Find g(h(a)) then find the inverse of that new function.

(remember to simplify when possible!)

Answer

Composition & Inverses of Functions 1000 Answer

g(h(a)) = 9a2 – 1

Inverse of 9a2 – 1:

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Rational Expressions 200

Simplify the following:

Answer

Rational Expressions 200 Answer

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x

4y

Rational Expressions 400

Simplify the following:

Answer

Rational Expressions 400 Answer

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Rational Expressions 600

Simplify the following:

Answer

Rational Expressions 600 Answer

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Rational Expressions 800

Simplify the following:

Answer

Rational Expressions 800 Answer

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Rational Expressions 1000

Simplify the following:

Answer

Rational Expressions 1000 Answer

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Miscellaneous 200

2x = 43

Round to 2 decimal places.

Answer

Miscellaneous 200 Answer

x = 5.43

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Miscellaneous 400

Find the remaining zeros: f(x) = 3x5 – 25x4 +56x3 + 8x2 – 59x + 17 x=4+i

Answer

Miscellaneous 400 Answer

x = 1/3, -1, 1, 4+i, 4-i

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Miscellaneous 600

72x-3 = 4

Round to 2 decimal places.

Answer

Miscellaneous 600 Answer

72x-3 = 4

x = 1.86

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Miscellaneous 800

Simplify the following:

Answer

Miscellaneous 800 Answer

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Miscellaneous 1000

Simplify the following:

Answer

Miscellaneous 1000 Answer

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