6-5 Solving Linear Inequalities
A _ is similar to a linear equation, but
the equal sign is replaced by an inequality symbol.
A _ of a linear inequality is any ordered pair that makes
the inequality true.
or
indicates that the points on the boundary ARE so
6-2 Solving Systems by Substitution
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Solving Systems of Equations by Substitution
Solve for one variable in at least one equation, if necessary.
Substitute the resulting expression into the other equation.
Solve that
6-3 Solving Systems by Elimination
Solving Systems of Equations by Elimination
Step 1: Write the system so that like terms are aligned.
Step 2: Eliminate one of the variables by adding/subtracting the equations and
solve for the other variable.
Step 3: Su
6-6 Solving Systems of Linear Inequalities
A _is a set of two or more
linear inequalities containing two or more variables.
The _ consists of all the
ordered pairs that satisfy all the linear inequalities in the system.
Ex 1] Tell whether the ordered pair
6-4 Solving Special Systems
Consistent system: _
Inconsistent system: _
Independent system: _
Dependent system: _
Classification of Systems of Linear Equations
CLASSI CONSISTENT and
CONSISTENT and
FICATI INDEPENDENT
DEPENDENT
ON
# of
Solutio
ns
Descrip Di
6-1 Solving Systems by Graphing
A system of _ is a set of two or more linear
equations containing two or more variables.
A _ of a system of linear equations with two variables is an
ordered pair that satisfies each equation in the system.
If an ordered pa
Chapter 11 Section 4
Linear, Quadratic, Exponential Models
General Forms of Functions
Model
LINEAR
QUADRATIC
EXPONENTIAL
Pattern
Graph
Equation
Identify each of the following as linear, quadratic, or exponential
1
y =30,000(1.08)4
_
2
y = 3.75x + 74
_
3
y
Chapter 11 Section 1
Geometric Sequences
Terms
Geometric sequence: _
_
Common ratio: _
Example 1
Find the next 3 terms in the geometric sequence.
A. 1,3,9,27,
B. -16, 4, -1,
Formula For a Geometric Sequence
Example 2
A. The first term of a geometric seque
7-1 Integer Exponents
Algebra I
_
Ex 1: One cup is 2-4 gallons. Simplify this expression.
Ex 2: Simplify.
A.
4-3
C.
(-5)-4
B.
70
D.
-5-4
Ex 3: Evaluate each expression for the given value(s) of the variable(s).
A.
x-2 for x = 4
B.
-2a0b-4 for a = 5 and b
Chapter 11 Section 5
Square Root Functions
Terms
Square Root Function: _
Speed Function: _
Example 1
A. Find the speed of an object in free fall after it has fallen 4 feet.
B.
Find the speed of an object in free fall after it has fallen 50 feet. Round you