MATH 0030 - Introductory Algebra with Geometry

1. Topics from Algebra
   1. Real Numbers
      1. Properties and operations
      2. Algebraic expressions and formulas
      3. Evaluating expressions and formulas
   2. Linear Equations, Graphs and Inequalities
      1. First degree equations and inequalities in one variable and applications
      2. First degree equations in two variables and graphs
   3. Exponents and Polynomials
      1. Properties of exponents
      2. Operations with polynomials
      3. Factoring quadratic expressions
      4. Solving quadratic equations by factoring
2. Topics from Geometry
   1. Lines and Angles
      1. Point, line, plane, segment, ray, angle
      2. Classifying angles
      3. Angle pairs: vertical angles, supplementary angles, and complementary angles
      4. Parallel and perpendicular lines and the angles formed
   2. Triangles, Quadrilaterals, and Polygons
      1. Classifying triangles and quadrilaterals
      2. Isosceles Triangles Theorem
      3. Triangle Sum of Angles Theorem
      4. Angles of Convex Polygons
      5. Perimeter
      6. Area
      7. Pythagorean Theorem Circles
         • Parts of circles
         • Central Angles
         • Circumference and Arc Length
         • Area and Sector Area

1. Simplify linear and polynomial algebraic expressions.
2. Demonstrate critical and logical reasoning when solving problems.
3. Simplify arithmetic expressions.
4. Communicate clearly a problems solution and its explanation for the intended audience in terms of the problem posed.
5. Factor second-degree polynomials.
6. Find the area and perimeter of triangles, quadrilaterals, circles, and sectors.
7. Find the surface area and volume of cylinders, cones, prisms, and pyramids.
8. Graph linear equations in two variables.
9. Model and solve applied problems using algebraic and geometric methods including linear equations, quadratic equations, or linear inequalities.
10. Recognize and classify two-dimensional and three-dimensional objects.
11. Simplify algebraic expressions involving integer exponents.
12. Solve linear equations and inequalities symbolically, including literal equations.
13. Solve problems using angle relationships.
14. Solve quadratic equations by factoring.
15. Write the equation of a line given certain conditions.
16. find the length of a side of a right triangle, given the other two sides, using the Pythagorean Theorem.

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