- Solve for part, whole, or percent using the percent equation.
- Solve applications (mileage, sales tax, etc.) involving percentages.
- Solve application problems involving fractions.
- Apply order of operations with whole numbers, integers, fraction and decimal numbers.
- Compute averages.
- Write ratios and solve proportions.
- Write ratios and solve proportions in application problems.
- Find the unknown in a proportion.
- Convert among fractions, decimals, and percents.
- Answer questions about bar graphs, circle graphs, or line graphs.
- Evaluate algebraic expressions.
- Simplify algebraic expressions.
- Solve linear equations.
- Find square roots of perfect squares or cube roots of perfect cubes.

- Apply order of operations with whole numbers, integers, fraction, or decimal numbers.
- Evaluate an algebraic expression for given values.
- Simplify algebraic expressions.
- Solve linear equations.
- Set up and solve a word problem involving a linear equation.
- Solve a linear system.
- Set up and solve a word problem involving a linear system.
- Solve a formula for a specified variable.
- Write and solve inequalities. Write the answer in interval notation.
- Graph linear equations.
- Graph a linear inequality.
- Write the equation of a line given information about the line such as slope, point(s), intercept(s).
- Simplify expressions involving integer or rational exponents. Simplify expressions using a combination of exponent rules.
- Add, subtract, and multiply polynomials.
- Factor polynomials.
- Divide a polynomial by a monomial. Divide a polynomial by a polynomial using long division.
- Simplify a rational expression. Evaluate a rational expression for a given value.
- Add, subtract, multiply, and divide rational expressions. Simplify a complex fraction.
- Solve a rational equation.
- Solve an absolute value equation.
- Solve an absolute value inequality. Write the answer in interval notation.
- Simplify radical expressions involving variables.
- Add, subtract, multiply, divide radical expressions.
- Use rational exponents to simplify a radical expression.
- Solve a radical equation.
- Add, subtract, multiply, divide complex numbers.
- Solve quadratic equations by factoring or using the quadratic formula.
- Graph a quadratic equation. Locate the vertex.

- Pythagorean Theorem Application
- Find unknown lengths in similar triangles
- Find and simplify difference quotient
- Simplify rational exponents using laws of exponents
- Use linear equations to solve problems.
- Solve a formula for a variable.
- Using linear equations to solve mixture problems.
- Using linear equations to solve dimension problems.
- Solve absolute value inequality.
- Evaluate a function at both numeric and symbolic values.
- Find slopes and equations of perpendicular and parallel lines.
- Find the domain of rational functions.
- Find the domain of radical functions.
- Find the composition of functions.
- Find the inverse of a function.
- Graph parabolas using standard form.
- Solve polynomial inequalities.
- Graph logarithmic functions.
- Find the domain of a logarithmic function.
- Solve exponential equations.
- Solve logarithmic equations.
- Solve applied problems involving exponential and logarithmic equations. (exponential growth and decay)
- Use logistic growth models.
- Model exponential growth and decay.
- Complete the square.

- Solve application problems (Pythagoras Theorem)
- Find unknown lengths in similar triangles.
- Find and simplify a function's difference quotient.
- Understand and use rational exponents.
- Use linear equations to solve problems.
- Solve a rational formula for a variable.
- Use linear equations to solve geometry problems.
- Solve absolute value inequalities.
- Evaluate a function and a composition of functions.
- Find slopes and equations of parallel and perpendicular lines.
- Find the domain of a function.
- Form composite functions.
- Find the inverse of a function.
- Graph parabolas.
- Solve polynomial inequalities.
- Graph logarithmic functions.
- Find the domain of a logarithmic function.
- Use logarithms to solve exponential equations.
- Use the definition of a logarithm to solve logarithmic equations.
- Solve applied problems involving exponential and logarithmic equations.
- Use logistic growth models.
- Complete the square.
- Find function values for 30°(pi/6), 45° (pi/4), and 60° (pi/3).
- Understand the graph of y = sin x, and graph variations of y = sin x.
- Find exact values of composite functions with inverse trigonometric functions.
- Use the fundamental trigonometric identities to verify identities.
- Use sum and difference formulas for cosines and sines.
- Use the double-angle formulas.
- Use identities to solve trigonometric equations.

Contact

**Phone: 573.651.2164**

math@semo.edu

Johnson Hall 201

One University Plaza, MS 6700

Cape Girardeau, Missouri 63701