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Algebra ll CRT Review
Solving Systems of Equations
A. Graphing
1. Graph the equations
2. Find the point where the two graphs intersect.
3. The ordered pair for point is your solution. (x,y)
Examole:
( x*2Y: $
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Notes
2.2 tntroduction to Functions
I
Objective 1: Define relation, domain, and range
Relation - set of ordered pairs. .r corresponds toy ory depends on x.
x:input
y:outptut
A map illustrates a relation by using a set of inputs and drawing arro
r
12-2 Per.tnutations and Cornbinations
Permutations: When a group of objects or people are arranged in a certain order, the
arrangement is called a pemutation.
Permutations - The number of permutations of n distinct objects taken r at a time is given
by
Block 4 Assessment - Quadratics
Quadratic Equations are in the form
of
y
:
axz + bx + c and form a u-shaped graph.
When graphing quadratics you can find the following:
1. x-intercepts (roots or solutions of the equation)
2. vertex (place where the graph f
B
1.
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Determine which of the graphs shown here
could be used to solve this equation: \.
2.
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A)
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B)
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Algebra
II
10.2 Logarithms and Logarithmic Functions
The logarithm of x with base b is defined as:
logrx=y e x=bY
Where r)0, b>0,andb*l
Logarithmic Form
'
a)
Exponential Form
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b) logr16=1 g3,
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Algebra
II
10.3 Properties of Logarithms
Properties of exponents can be used to develop the following properties of logarithms.
(Remember a logarithm is an exponent)
Product Property of
logu
MN = log, M +logu N
M, N, b, andP are positive real numb
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I
Algebra
II
10.4 Common Logarithms
10,5 Natural Logarithms
Common Logarithms
Natural Logarithms
Use a calculator to evaluqte each expression to four decimal places.
l.
2.
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4.
3.
log 0.003
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5.
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6.
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Algebra
II
10.6 Exponential Growth and Decay
Exponential Growth
When a quantity increases by a fixed percent each time period, the amount of that
quantity after t time periods is given by
y = a(1+ r)'
a: initial amount
r : percent increase (or rate of g
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2.1 Graphing Equations
Objective 1: Plot ordered pairs.
Cartesian coordinate system (rectangular coordinate system) is a grid used to locate points on a plane.
The horizontal axis is called the x-axis, and the vertical ax