Applied Algebra Help

1. Basic exponent rules

• video example

• practice worksheet

• practice worksheet answers

2. Combining "like terms"

• video example

• practice worksheet

• practice worksheet answers

3. Distributive property (including the FOIL method)

• video example part 1

• video example part 2 (FOIL)

• practice worksheet

• practice worksheet answers

4. Solving linear equations

• video example

• practice worksheet

• practice worksheet answers

5. Perfect squares and simplifying square roots

• video example

• practice worksheet

• practice worksheet answers

6. Basic factoring

• video example

• practice worksheet

• practice worksheet answers

Section 1.2

1. Evaluating functions 

• Video example

• Practice worksheet

• Practice worksheet answers

2. Sum, difference and product of two functions

• Video example

• Practice worksheet

• Practice worksheet answers

3. Composition of two functions

• Video example

• Practice worksheet

• Practice worksheet answers

Section 1.3

1. Finding intervals of increase/decrease/constant from a graph

• Video example

• Practice worksheet

• Practice worksheet answers

Section 1.4

1. Average rate of change

• Video example (from a graph or a table)

• Video example (given a function and two x-values)

• Practice worksheet

• Practice worksheet answers

2. Identifying parts of a linear function 

• Video example

• Practice worksheet

• Practice worksheet answers

3. Application problems

• Video example

• Practice worksheet

• Practice worksheet answers

Section 1.5

1. Point-slope equation

• Video example

• Practice worksheet

• Practice worksheet answers

2. Comparing linear functions

• Video example

• Practice worksheet

• Practice worksheet answers

Section 2.1

1. Solving for a variable

• Video example

• Practice Worksheet

• Practice Worksheet answers

2. Solving rational equations

• Video example

• Practice Worksheet

• Practice Worksheet answers

3. Solving radical equations

• Video example

• Practice Worksheet

• Practice Worksheet answers

4. Solving quadratic equations (square root property)

• Video example

• Practice Worksheet

• Practice Worksheet answers

5. Applied problems

• Video example

• Practice Worksheet

• Practice Worksheet answers

Section 2.3

1. Transformation of graphs

• Video example

• Practice Worksheet

• Practice Worksheet answers

2. Writing an equation given a transformed graph

• Video example

• Practice Worksheet

• Practice Worksheet answers

Section 2.4

1. Evaluating piecewise functions

• Video example

• Practice Worksheet

• Practice Worksheet answers

2. Sketch to fit the narrative

• Video example

• Practice Worksheet

• Practice Worksheet answers

Section 2.6

1. Finding domain and range of a function from a graph

• Video example

• Practice Worksheet

• Practice Worksheet answers

2. Finding domain of a function algebraically

• Video example

• Practice Worksheet

• Practice Worksheet answers

3. Analyzing functions given their graphs

• Video example

• Practice Worksheet

• Practice Worksheet answers

Section 3.1

1. Writing an equation of variation

• video example

• practice worksheet

• practice worksheet answers

2. Identifying the type of variation

• video example

• practice worksheet

• practice worksheet answers

3. Applied problems (direct variation)

• video example

• practice worksheet

• practice worksheet answers

4. Applied problems (inverse variation)

• video example

• practice worksheet

• practice worksheet answers

Section 3.2

1. Exponents

• Video example

• practice worksheet

• practice worksheet answers

Section 3.3

1. Simplifying radical expressions

• Video example

• practice worksheet

• practice worksheet answers

2. Solving radical equations

• Video example

• practice worksheet

• practice worksheet answers

Section 4.1

1. Analyzing exponential functions

• Video example

• Practice worksheet

• Practice worksheet answers

2. Growth or decay equations

• Video example

• Practice worksheet

• Practice worksheet answers

Section 4.2

1. Graphing an exponential function

• Video example

• Practice worksheet

• Practice worksheet answers

2. Translating a graph of an exponential function

• Video example

• Practice worksheet

• Practice worksheet answers

3. Domain and range of an exponential function

• Video example

• Practice worksheet

• Practice worksheet answers

4. Solving exponential equations using common bases

• Video example

• Practice worksheet

• Practice worksheet answers

Section 4.3

1. Converting logarithmic and exponential equations

• Video example

• Practice worksheet

• Practice worksheet answers

2. Solving basic logarithmic equations

• Video example

• Practice worksheet

• Practice worksheet answers

Section 4.4

1. Expanding logarithmic expressions

• Video example

• Practice worksheet

• Practice worksheet answers

2. Writing an expression as a single logarithm

• Video example

• Practice worksheet

• Practice worksheet answers

3. Solving logarithmic equations with change of base formula

• Video example

• Practice worksheet

• Practice worksheet answers

4. Solving exponential equations by using logarithms

• Video example

• Practice worksheet

• Practice worksheet answers

Section 4.5

1. Writing an exponential function equation given the table

• Video example

• Practice worksheet

• Practice worksheet answers

Section 5.1

1. Finding an inverse of a function

• Video example (linear, cubic and cube root functions)

• Video example (rational functions)

• Practice worksheet

• Practice worksheet answers

2. Determine if two functions are inverses

• Video example

• Practice worksheet

• Practice worksheet answers

3. Graphing an inverse function

• Video example

• Practice worksheet

• Practice worksheet answers

Section 5.2

1. Graphing a logarithmic function

• Video example

• Practice worksheet

• Practice worksheet answers

2. Solving logarithmic equations (basic)

• Video example

• Practice worksheet

• Practice worksheet answers

3. Solving logarithmic equations (advanced)

• Video example

• Practice worksheet

• Practice worksheet answers

Section 5.3

1. Graphs of natural exponential functions

• Video example

• Practice worksheet

• Practice worksheet answers

2. Solving natural exponential equations

• Video example

• Practice worksheet

• Practice worksheet answers

3. Applied problems with natural exponential function (growth/decay, continuous compounding)

• Video example

• Practice worksheet

• Practice worksheet answers

4. Applied problems with natural exponential function (Finding time, half-life and doubling)

• Video example

• Practice worksheet

• Practice worksheet answers

Section 6.1

1. Solving quadratic equations by factoring

• Video Example

• Practice worksheet

• Practice worksheet answers

2. Solving equations that can be written as a quadratic

• Video Example

• Practice worksheet

• Practice worksheet answers

3. Writing quadratic equations given roots and leading coefficient

• Video Example

• Practice worksheet

• Practice worksheet answers

4. Applied problems

• Video Example

• Practice worksheet

• Practice worksheet answers

Section 6.2

1. Solving quadratic equations with square root property

• Video example

• Practice worksheet

• Practice worksheet answers

2. Solving quadratic equations with quadratic formula

• Video example

• Practice worksheet

• Practice worksheet answers

3. Applied problems

• Video example

• Practice worksheet

• Practice worksheet answers

Section 6.3 and 6.4

1. Analyzing a graph of a parabola

• Video example

• Practice worksheet

• Practice worksheet answers

2. Graphing a parabola in vertex form

• Video example

• Practice worksheet

• Practice worksheet answers

3. Finding x-intercepts and vertex of a parabola

• Video example

• Practice worksheet

• Practice worksheet answers

4. Re-writing a parabola in standard form

• Video example

• Practice worksheet

• Practice worksheet answers

5. Finding maximum/minimum of a parabola

• Video example

• Practice worksheet

• Practice worksheet answers

6. Applied problems involving max/min of a parabola

• Video example

• Practice worksheet

• Practice worksheet answers

Section 7.1

1. Finding zeros and multiplicities

• Video example

• Practice worksheet

• Practice worksheet answers

2. Writing an equation of a polynomial

• Video example

• Practice worksheet

• Practice worksheet answers

3.  End behavior of polynomials

• Video example

• Practice worksheet

• Practice worksheet answers

Section 7.2

1. Sketching a graph of a polynomial

• Video example

• Practice worksheet

• Practice worksheet answers

2. Matching a polynomial to its graph

• Video example

• Practice worksheet

• Practice worksheet answers

3. Analyzing graphs of polynomials

• Video example

• Practice worksheet

• Practice worksheet answers

Section 7.4

1. Analyzing graphs of rational functions

• Video example

• Practice worksheet

• Practice worksheet answers

2. Finding vertical and horizontal asymptotes of a rational function

• Video example

• Practice worksheet

• Practice worksheet answers

3. Matching a rational function with its graph

• Video example

• Practice worksheet

• Practice worksheet answers

Section 7.5

1. Solving rational equations

• Video example

• Practice worksheet

• Practice worksheet answers

2. Solving for a variable in terms of other variables 

• Video example

• Practice worksheet

• Practice worksheet answers