4.9: Solving Radical Equations

Objective:

• Solve radical equations.

Example 1

Student Example 1

Example 2

Student Example 2

Problem Set 4.9:

#2, 5, 8, 11, 14, 17, 20, 23, 26, 29

4.8: Rational Exponents

Objectives:

• Simplify expressions with rational exponents.

Example 1

Student Example 1

Example 2

Student Example 2

Problem Set 4.8:
#1-45 odd

4.7: Binomial Radical Expressions

Objectives:

• Add and subtract radical expressions.
• Multiply and divide binomial radical expressions.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Example 4

Student Example 4

Problem Set 4.7

#1-31 odd

4.6: Multiplying and Dividing Radical Expressions

Objectives:

• Multiply radical expressions.
• Divide radical expressions.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem Set 4.6:

#1-33 odd

4.5: Roots and Radical Expressions

Objectives:

• Simplify nth root expressions.

Example 1

Student Example 1

Example 2

Student Example 2

Problem Set 4.5

#1-34 all

4.4: Rational Equations

Objectives:

• Solve rational equations.

Example 1

Student Example 1

Example 2

Student Example 2

Problem Set 4.4

# 3-33 multiples of 3

   34, 35

4.3: Adding and Subtracting Rational Expressions

Objectives:

• Add and subtract rational expressions.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Example 4

Student Example 4

Problem Set 4.3:

#3-39 multiples of 3

4.2: Rational Expressions

Objectives:

• Simplify rational expressions.
• Multiply and divide rational expressions.

Example 1


Student Example 1


Example 2


Student Example 2


Example 3


Student Example 3


4.2 Problem Set:
#4-40 multiples of 4

4.1: Rational Functions & their Graphs

Objectives:

• Define properties of rational functions.
• Graph rational functions.

Example 1 & Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem Set 4.1

#7-10, 13-16, 21

3.6b: The Binomial Theorem

Objectives:

• Expand using the Binomial Theorem.

  

 

Example 1

Student Example 1

Example 2

Student Example 2

Problem set 3.6b:

# 27-35 odd

3.6a: The Binomial Theorem

Objectives:

• Expand binomials using Pascal's triangle.

Example 1


Student Example 1


Example 2


Student Example 2


3.6a problem set: 
1, 2, 8, 16-26 even

3.4: Solving Polynomial Equations

Objectives:

• Solve polynomial equations by graphing.
• Solve polynomial equations by factoring.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem set 3.4
#3-15 odd, 18-22 even, 33-39 odd

3.3: Dividing Polynomials

Objectives:

• Divide polynomials using long division.
• Divide polynomials using synthetic division.

Example 1





Student Example 1





Example 2





Student Example 2





Example 3

Student Example 3

Example 4

Student Example 4

Example 5 and Student Example 5

Problem set 3.3
# 1-31 odd

3.2: Polynomials and Linear Factors

Objectives:

• Find the linear factorization of polynomials.
• Write polynomials from their zeros.

Example 1


Student Example 1


Example2


Student Example 2


Example 3


Student Example 3


Example 4


Student Example 4


Problem set 3.2
#4-12
14, 15, 18, 19
 28(graphing calculator)

3.1: Polynomial Functions

Objectives:

• Classify polynomial functions by degree and number of terms
• Model using polynomial functions (calculator examples done in class)

Example 1

Student Example 1

Problem set 3.1

# 1-25

2.5: The Quadratic Formula

Objectives:

• Solve quadratic equations by using the quadratic formula.

Example 1


Student Example 1


Example 2


Student Example 2


 Problem set (in class):
#3-36 multiples of 3, 49

2.4: Completing the Square

Objectives:

• Solve quadratic equations by completing the square.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem set 2.4 (in class):

# 1-6, 24-63 multiples of 3

2.3b: Complex Numbers

Objectives:

• Graph complex numbers in the complex plane.
• Solve quadratic equations with complex roots.

Example 1


Student Example 1


Example 2 & Student Example 2


 Problem Set 2.3b
#11-35 odd (plot a graph)
68-78 even

2.3a: Complex Numbers

Objectives:

• Define the complex set of numbers.
• Manipulate expressions involving complex numbers.

 Example 1


Student Example 1


Example 2


Student Example 2


Example 3


Student Example 3


Problem Set 2.3a (in class):
# 26-66 even

2.2: Solving Quadratic Equations

Objectives:

• Solve quadratic equations by factoring.
• Solve quadratic equations by graphing.

Example 1


Student Example 1


Example 2


Student Example 2


2.2 Problem Set (in class):
 #  3-75 multiples of 3

2.1b: Factoring Quadratics (special cases)

Objectives:

• Factor special case quadratics.

Example 1

Student Example 1

Student Example 2

Problem Set 2.1b (in class):

# 8, 10, 14, 16 - 24 all, 58, 65, 71, 74

2.1a: Factoring Quadratics

Objectives:

• Factor quadratics with a leading coefficient of 1.
• Factor quadratics with a leading coefficient other than 1.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem Set 2.1a (in class):

# 1-6, 29-36, 62, 63, 73

1.6b: Absolute Value Inequalities

Objectives:

• Solve absolute value inequalities

Example 1


Student Example 1


Example 2


Student Example 2


1.6b problem set (in class)
# 1-3
4-12 even
29, 30

1.6a: absolute value equations

Objectives:

• Solve absolute value equations.

  Example 1


Student Example 1


Example 2


Student Example 2


1.6a problem set
#13-24

1.5 Solving Inequalities

Objectives:

• Solve inequalities.

Example 1


Example 2


Student Example 1


Example 3


Student Example 2


Example 4


Example 5


Student Example 3


Problem Set 1.5
#1-17 odd (with interval notation), 18, 20, 22

1.4b: Systems of equations in 3 variables

Objectives:

• Use Gaussian Elimination to solve systems.

Gaussian Elimination


Example 1


Student Example 1


problem set 1.4b (in class)
#7-15 odd, 25

1.4a: Systems of Equations

Objectives:

• Solve systems using various methods.

Example 1


Student Example 1


Example 2


Example 3


Student Example 2


problem set 1.4 (in class)
# 2-10 even
  11-27 odd

1.3: Solving Equations

Objectives:

• Translate between verbal and algebraic forms of equations.
• Use properties of equality to solve equations.

 Example 1
(UPDATE: the final answer should be -19, thanks Kimi for pointing this out!)

Student Example 1


Example 2


Student Example 2


Example 3


Student Example 3


Problem Set 1.3 (in class)
# 1-17 odd, 20, 21

1.2: Properties of Real Numbers

Objectives:

• Classify Real Numbers.

• Apply properties of Real Numbers in evaluating expressions.
 

 

Example 1

Student Example 1

 Example 2


Student Example 2


Example 3


Student Example 3


Problem set 1.2:
#1-9 odd, 12, 13, 15, 17, 20, 23, 25, 27, 50, 51, 52

1.1 Expressions and Formulas

Objectives:

• Apply order of operations in evaluating expressions.
• Apply formulas in evaluating expressions.

Example 1

Student Example 1

Student Example 2

Example 2

Student Example3

Problem Set

worksheet 1.1

Hello world!

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I'm looking forward to a great year!

-Mr. Tolar