MATH 0070 - Beginning Algebra

Credit Hours: 3.00

Objectives: Students will perform the following without the use of a calculator:

1. Solve and check first degree equations in one variable by using field properties of the reals.
2. Use the properties of equality to solve equations.
3. Use the properties of inequality to solve first degree inequalities and display solutions on a number line, set-builder notation, and interval notation.
4. Solve formulas for any variable and evaluate such formulas for different values of the variables.
5. Convert word problems into equations and solve and check.

Outcome 2: Upon completion of this course, students will be able to graph linear equations and linear inequalities in two variables.

Objectives: Students will perform the following without the use of a calculator:

1. Locate points in a Cartesian plane and know terminology such as x- and y-coordinates, origin, quadrant.
2. Graph a line by point-plotting.
3. Graph a line by finding its intercepts.
4. Determine the slope of a line.
5. Write equation into slope-intercept form and graph.
6. Find equation of a line using point-slope form and slope-intercept form.
7. Determine whether lines are parallel, perpendicular, or neither.
8. Find an equation of a parallel or perpendicular line.
9. Graph linear inequalities.

Outcome 3: Upon completion of this course, students will be able to solve systems of equations and inequalities.

Objectives: Students will perform the following without the use of a calculator:

1. Use the graph of a system of equations to determine the nature of the solutions.
2. Solve systems of 2 equations with 2 unknowns using substitution.
3. Solve systems of 2 equations with 2 unknowns using elimination.
4. Solve systems of linear inequalities by graphing in two variables.
5. Use systems to solve applications.

Outcome 4: Upon completion of this course, students will be able to simplify expressions involving integer exponents.

Objectives: Students will perform the following without the use of a calculator:

1. Use the basic properties of exponents when the exponents are integers to simplify expressions.
2. Write real numbers in scientific notation and vice versa.

Outcome 5: Upon completion of this course, students will be able to perform operations on polynomials.

Objectives: Students will perform the following without the use of a calculator:

1. Identify and evaluate polynomials.
2. Add and subtract polynomials.
3. Multiply polynomials.
4. Divide a polynomial by a monomial.

Outcome 6: Upon completion of this course, students will be able to factor polynomials.

Objectives: Students will perform the following without the use of a calculator:

1. Factor out the greatest common factor.
2. Factor by grouping.
3. Factor trinomials of the form ax² + bx + c when a = 1.
4. Factor trinomials of the form ax² + bx + c when a not equal to 1.
5. Factor difference of squares, perfect square trinomials, sum and difference of cubes.
6. Solve quadratic equations by factoring.

Outcome 7: Upon completion of this course, students will be able to perform operations on radicals

Objectives: Students will perform the following without the use of a calculator:

1. Simplify radicals.
2. Add, subtract, and multiply radicals.

1. Equations and Inequalities
   1. Solve linear equations in one variable
   2. Solve literal equations in one variable
   3. Solve and graph linear inequalities in one variable
   4. Solve quadratic equations in one variable by factoring
   5. Solve equations involving rational expressions
   6. Solve applied problems including motion, percent, mixture, and angle problems
2. Linear Equations in Two Variables
   1. Graph lines
      1. Point-plotting
      2. Intercepts
      3. Slope-intercept form
   2. Slope of a line
   3. Equation of a line
      1. Slope-intercept form
      2. Point-slope form
      3. Standard form
   4. Parallel and perpendicular lines
   5. Graph linear inequalities
3. Systems of Equations and Inequalities
   1. Solve systems of two equations in two variables by graphing.
   2. Solve systems of two equations in two variables by substitution.
   3. Solve systems of two equations in two variables by elimination.
   4. Solve systems of linear inequalities by graphing in two variables.
   5. Applications
4. Exponents
   1. Properties of positive integral exponents
   2. Definition and use of the zero exponent
   3. Definition and use of negative integral exponents
   4. Scientific notation
5. Polynomials
   1. Terminology associated with polynomials
   2. Add and subtract polynomials
   3. Multiply polynomials
   4. Divide polynomials by monomial
6. Factor Polynomials
   1. Greatest common factor
   2. Grouping
   3. Trinomials
   4. Difference of squares, perfect square trinomials, sum and difference of cubes
7. Roots and Radicals
   1. Simplify expression s containing square root radicals
   2. Addition, subtraction, and multiplication of expressions involving square roots