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