algebra 2 tri-b review!. logarithmssolving polynomials compostion of functions & inverses...
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![Page 1: Algebra 2 Tri-B Review!. LogarithmsSolving Polynomials Compostion of Functions & Inverses Rational Expressions Miscellaneous 200 400 600 800 1000](https://reader030.vdocuments.net/reader030/viewer/2022032801/56649dda5503460f94acff71/html5/thumbnails/1.jpg)
Algebra 2 Tri-B Review!
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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
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Logarithms 200
Write in exponential form:log328=3/5
Write in log form:90=1
Answer
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Logarithms 200 Answer
log328=3/5 83/5=32
90=1 log91=0
Question Board
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Logarithms 400
Condense: log25 + 2log2x+6log2y
Expand:
Answer
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Logarithms 400 Answer
Condense:
log25 + 2log2x+6log2y = log25x2y6
Expand:
= 5logx+3logy-4logz
Question Board
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Logarithms 600
Solve:
Answer
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Logarithms 600 Answer
23x = 2-6
3x=-6
x = -2
Question Board
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Logarithms 800
log2(8-5b) = log2(b+2)
log4 + logx = log64
Answer
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Logarithms 800 Answer
log2(8-5b) = log2(b+2)
8-5b = b+26=6bb=1
log4 + logx = log64log4x = log64
4x=64x=16
Question Board
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Logarithms 1000
-7 + 6log8 (9x-3) = -13
Answer
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Logarithms 1000 Answer
-7 + 6log8 (9x-3) = -13x = 25/72
Question Board
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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
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Solving Polynomials 200 Answer
f(x) = (x-4)(x+1)(x-9)
f(x) = x3-12x2+23x+36
Question Board
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Solving Polynomials 400
Find all the zeros using the graphing calculator:f(x) = 2x3 + 9x2 – 8x - 15
Answer
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Solving Polynomials 400 Answer
x = -5, 3/2, 5
Question Board
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Solving Polynomials 600
Answer
Find the remaining zeros.
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Solving Polynomials 600 Answer
a = 1, b = 0, c = 4
x = 2i, -2i, 3
Question Board
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Solving Polynomials 800
Find the remaining zeros: f(x) = x3 – 16x2 + 79x – 114; x=6
Answer
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Solving Polynomials 800 Answer
Question Board
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Solving Polynomials 1000
Find all the zeros: x3 + 64 =0
Answer
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Solving Polynomials 1000 Answer
Question Board
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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
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Composition & Inverses of Functions 200 Answer
f(g(2)) = -4
g(f(2)) = 88
Question Board
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Composition & Inverses of Functions 400
Find the inverse of:
Answer
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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
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Composition & Inverses of Functions 600 Answer
h(x) = x2-x
g(x) = 3x+4
h(g(x)) = 9x2+21x+12
Question Board
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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
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Composition & Inverses of Functions 800 Answer
f-1(x) = 2x+8
f-1(f-1(x)) = 4x+24
Question Board
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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
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Composition & Inverses of Functions 1000 Answer
g(h(a)) = 9a2 – 1
Inverse of 9a2 – 1:
Question Board
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Rational Expressions 200
Simplify the following:
Answer
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Rational Expressions 200 Answer
Question Board€
x
4y
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Rational Expressions 400
Simplify the following:
Answer
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Rational Expressions 400 Answer
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Rational Expressions 600
Simplify the following:
Answer
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Rational Expressions 600 Answer
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Rational Expressions 800
Simplify the following:
Answer
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Rational Expressions 800 Answer
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Rational Expressions 1000
Simplify the following:
Answer
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Rational Expressions 1000 Answer
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Miscellaneous 200
2x = 43
Round to 2 decimal places.
Answer
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Miscellaneous 200 Answer
x = 5.43
Question Board
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Miscellaneous 400
Find the remaining zeros: f(x) = 3x5 – 25x4 +56x3 + 8x2 – 59x + 17 x=4+i
Answer
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Miscellaneous 400 Answer
x = 1/3, -1, 1, 4+i, 4-i
Question Board
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Miscellaneous 600
72x-3 = 4
Round to 2 decimal places.
Answer
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Miscellaneous 600 Answer
72x-3 = 4
x = 1.86
Question Board
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Miscellaneous 800
Simplify the following:
Answer
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Miscellaneous 800 Answer
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Miscellaneous 1000
Simplify the following:
Answer
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Miscellaneous 1000 Answer
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