10834110Elementary Algebra with Applications
Course Information
Description
This course offers traditional algebra topics with applications. Learners develop algebraic problem solving techniques needed for technical problem solving and for more advanced algebraic studies. Topics include linear equations, exponents, polynomials, rational expressions, and roots and radicals. Successful completion of this course prepares learners to succeed in technical mathematics courses.
Total Credits
3
Course Competencies

Perform basic operations with real numbersAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou add, subtract, multiply, and divide real numbersyou evaluate numerical expressions using exponentsyou evaluate expressions containing parenthesisyou evaluate expressions using the order of operationsyou evaluate algebraic expressions

Solve linear equationsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou identify like termsyou solve one step linear equationsyou solve linear equations with the variable on one side of the equationyou solve linear equations with the variable on both sides of the equationyou solve factional equationsyou rearrange formulas

Use formulas to solve problemsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou solve proportionsyou solve application problems using proportionsyou solve equations for a specified variableyou find the value of a variable in a given formula

Use the rules of exponentsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou simplify expressions using positive exponentsyou simplify expressions using negative exponentsyou use exponents to express a number in a scientific notationyou change a number from scientific notation to decimal notation

Perform operations with polynomialsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou perform addition of polynomialsyou perform subtraction of polynomialsyou perform multiplication of polynomialsyou perform division of polynomials

Apply factoring methodsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou find the greatest common factoryou factor binomialsyou factor trinomialsyou factor polynomials with four termsyou factor polynomials completely

Perform basic operations with rational expressionsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou reduce rational expressions to lowest termsyou multiply rational expressionsyou divide rational expressionsyou add rational expressionsyou subtract rational expressionsyou simplify complex fractions

Solve rational equationsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou solve rational equations using proportionsyou solve rational equations by clearing the equation of fractionsyou determine if roots are extraneous roots

Graph algebraic equationsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou plot ordered pairs on the XY axesyou graph lines on the XY axesyou find a slope of a line given two pointsyou determine the slope and the Yintercept given the equation of the lineyou graph the solution to quadratic equationsyou determine equations of lines

Solve systems of equationsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou determine the solution to a system by graphingyou determine the solution to a system using the additionsubtraction methodyou determine the solution using the substitution method

Perform basic operations with roots and radicalsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou simplify radicals using numerical valuesyou simplify radicals using algebraic termsyou use pythagorean theorem to solve problemsyou simplify distance formula

Solve quadratic equationsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou solve quadratics by factoringyou solve quadratics by completing the squareyou solve quadratics by using the quadratic formulayou identify the number of roots for any quadratic equation by using the discriminant