# Elementary Algebra with Applications

**Course Description**

Students taking Elementary Algebra perform basic algebraic operations. They
solve and graph linear equations.

They solve and graph inequalities. Students factor algebraic equations. They
solve radical and rational

equations. Students solve quadratic equations . In each topic area, students
solve application problems.

**Target Population**

Elementary Algebra is a designed for students needing a first year algebra
course.

**Textbooks**

Elementary Algebra Concepts and Applications, Bittinger & Ellenbogen, Seventh
Edition.

Addison Wesley

**Supplies
Scientific Calculator
Goals**

1. Perform basic algebraic operations

2. Solve linear equations and inequalities

3. Solve inequalities

4. Perform operations with algebraic terms

5. Factor equations

6. Solve rational equations

7. Graph linear equations

8. Solve systems of equations

9. Solve radical equations

10. Solve quadratic equations

Core Abilities

O Act Professionally

O Communicate Clearly

O Value Learning

O Work Productively

O Work Cooperatively

O Solve Problems

**Course Competencies**

1. Perform basic algebraic operations

**Properties **

Domain : Cognitive

Level : Application

Importance : Essential

Difficulty : Medium

**Criteria - Performance will be satisfactory when:**

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Perform arithmetic operations on signed numbers

b. Perform arithmetic operations on fractions

c. Use order of operations

d. Evaluate numeric expressions involving powers and roots

e. Evaluate algebraic expressions

f. Evaluate formulas

**Linked Core Abilities**

Solve Problems

2. Solve linear equations and Inequalities

**Properties**

Domain : Cognitive

Level : Application

Importance : Essential

Difficulty : Medium

Criteria - Performance will be satisfactory when:**
learner chooses a valid method for solving a problem
**•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Combine like terms

b. Multiply algebraic expressions

c. Solve linear equations with one variable

d. Rearrange a formula to solve for an indicated first-degree variable

e. Translate English phrases into equations using variables to represent
unknowns

f. Apply skill to technical problems

g. Graph inequalities

h. Solve single inequalities

i. Solve compound inequalities

j. Solve inequalities containing absolute value

k. Apply skills to technical problems

**Linked Core Abilities**

Solve Problems

3. Graph linear equations

**Properties**

Domain : Cognitive

Level : Application

Importance : Essential

Difficulty : Medium

**Criteria - Performance will be satisfactory when:**

•learner chooses a valid method for solving a problem

•learner chooses an appropriate formula

•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer is within 1 % of actual value

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Locate ordered pairs on Cartesian coordinate system

b. Graph line by creating a table of ordered pairs

c. Graph a line given the slope and y-intercept

d. Graph a line given a point and slope

e. Write an equation of a line in all forms

f. Evaluate relations and functions

**Linked Core Abilities**

Communicate Clearly

4. Perform operations with algebraic terms

**Properties**

Domain : Cognitive

Level : Analysis

Importance : Essential

Difficulty : Medium

**Criteria - Performance will be satisfactory when:**

•learner chooses a valid method for solving a problem

•learner shows the steps used to solve the problem

•answer is within 1 % of actual value

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Perform algebraic operations on variables with exponents

b. Perform algebraic operations on polynomials

**Linked Core Abilities**

Solve Problems

5. Factor equations

**Properties
**Domain : Cognitive

Level : Analysis

Importance : Essential

Difficulty : High

**Criteria - Performance will be satisfactory when:**

•learner chooses a valid method for solving a problem

•learner manipulates an existing formula to solve for an unknown

•learner shows the steps used to solve the problem

•answer is within 1 % of actual value

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Factor whole numbers

b. Factor greatest common factor from algebraic expressions

c. Factor the difference of two squares

d. Factor simple trinomials

e. Factor perfect square trinomials

f. Factor general trinomials

g. Factor by grouping

h. Factor quadratics

**Linked Core Abilities**

Solve Problems

6. Solve rational equations

**Properties**

Domain : Cognitive

Level : Analysis

Importance : Important

Difficulty : High

**Criteria - Performance will be satisfactory when:
**•learner chooses a valid method for solving a problem

•learner chooses an appropriate formula

•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Simplify rational expressions

b. Multiply and divide rational expressions

c. Add and subtract rational expressions with like denominators

d. Add and subtract rational expressions with different denominators

e. Simplify complex rational expressions

f. Solve rational equations

g. Apply skills to technical problems

**Linked Core Abilities**

Solve Problems

7. Solve systems of equations

**Properties**

Domain : Cognitive

Level : Application

Importance : Essential

Difficulty : High

**Criteria - Performance will be satisfactory when:
**•learner chooses a valid method for solving a problem

•learner chooses an appropriate formula

•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Solve system of two linear equations by graphing

b. Solve system of equations by addition

c. Solve system of equations by substitution

d. Apply skills to technical problems

**Linked Core Abilities**

Solve Problems

8. Solve radical equations

**Properties**

Domain : Cognitive

Level : Analysis

Importance : Important

Difficulty : High

**Criteria - Performance will be satisfactory when:
**•learner chooses a valid method for solving a problem

•learner chooses an appropriate formula

•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Multiply and divide radicals

b. Simplify radicals

c. Add and subtract radicals

d. Rationalize deominators

e. Multiply polynomials involving radicals

f. Solve radical equations

g. Apply skills to technical problems

**Linked Core Abilities**

Solve Problems

9. Solve quadratic equations

**Properties
**Domain : Cognitive

Level : Application

Importance : Essential

Difficulty : Medium

**Criteria - Performance will be satisfactory when:
**•learner chooses a valid method for solving a problem

•learner chooses an appropriate formula

•learner writes an equation representing the problem

•learner manipulates an existing formula to solve for an unknown

•learner draws an accurate diagram representing the problem

•learner shows the steps used to solve the problem

•answer includes correct units of measure

•answer is within 1 % of actual value

•answer is stated with appropriate precision

**Conditions for assessment:**

•using a scientific calculator

**Learning Objectives**

a. Solve quadratic equations by factoring

b. Use square root property to solve quadratics

c. Complete the square to solve quadratic equations

d. Use the quadratic formula

e. Graph simple quadratics

f. Apply skills to technical problems

**Linked Core Abilities**

Solve Problems

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