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# Intermediate Algebra 1 Course Outcome Summary

## Competencies

A. Use the real number system Linked Core Abilities
Critical thinking
Mathematics

Competence will be demonstrated:
A.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
A.1. you identify the different sets of real numbers
A.2. you graph real numbers on the number line
A.3. you add, subtract, multiply and divide rational numbers
A.4. you manipulate expressions using the correct order of operations
A.5. you simplify expressions with exponents and radicals
A.6. you recognize and use the commutative, associative, and distributive laws and the additive and multiplicative identities and inverses on algebraic expressions
A.7. you definesthe absolute value of a real number
A.8. you translatesphrases and sentences into algebraic form

B. Solve linear equations and linear inequalities
Critical thinking
Mathematics

Competence will be demonstrated:
B.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
B.1. you solve equation in one variable
B.2. you solve formulas for a specific variable
B.3. you generate equations from specific equation
B.4. you solve applications using formulas and linear equations
B.5. you solve simple linear inequalities in one variable

C. Demonstrate graphing skills on a Cartesian coordinate plane
Critical thinking
Mathematics

Competence will be demonstrated:
C.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
C.1. you plot ordered pairs, reads coordinates, identifies x- and y- intercepts
C.2. you calculate the slope between two points
C.3. you identify the slope of a line on the x-y plane
C.4. you use slope to determine if two lines are parallel, perpendicular, or neither
C.5. you graph a line give its slope and a point on the line or two points on the line or give a slope and the y-intercept
C.6. you write the equation of a line in standard or in point-slope form
C.7. you graph any linear equation
C.8. you determine if a rational equation is a function

D. Solve systems of equations that involve 2 equations in two unknowns
Critical thinking
Mathematics

Competence will be demonstrated:
D.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
D.1. you solve a system of linear equations by graphing, elimination, and substitution
D.2. you classif systems as being either consistent, inconsistent, dependent or independent
D.3. you translate applications problems into appropriate methods
D.4. you solve applications problems by using appropriate methods

E. Perform operations on exponents and polynomials
Critical thinking
Mathematics

Competence will be demonstrated:

E.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
E.1. you apply power, product, and quotient rules to integer exponents
E.2. you perform operations in scientific notation
E.3. you add and subtract polynomials
E.4. you multiply polynomials
E.5. you use special product rules
E.6. you divide polynomials
E.7. you divide using synthetic division

F. Factor polynomials
Critical thinking
Mathematics

Competence will be demonstrated:
F.1. by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria - Performance will be satisfactory when:
F.1. you factor out the greatest common factors
F.2. you factor trinomials
F.3. you factor out the difference of two squares , of two cubes, and the sum of two cubes
F.4. you factor by grouping
F.5. you factor by substitution
F.6. you use the zero factor property to solve polynomial equations
F.7. you solve application problems involving the use of the zero factor property

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