# Topics to Study

- For MATH 104, MATH 110, and MATH 180 Expand dropdown
- Make comparisons and perform calculations with fractions, decimals, and percents.
- Know and understand the order of operations.
- Solve multiple-step word problems involving fractions, decimals, ratio, percents, average, and proportional reasoning.
- Solve word problems involving perimeter and area.
- Find square roots.
- Perform simple operations with radicals.
- Simplify and evaluate algebraic expressions.
- Factor polynomials and quadratic expressions.
- Solve linear and quadratic equations.
- Understand order relationships between signed numbers.
- Perform simple operations with integers.
- Perform simple operations with polynomials.
- Solve simple rational equations.
- Graph linear equations.
- Solve word problems involving algebraic principles.

- For MATH 105, MATH 107, and STAT 170 Expand dropdown
- Solve systems of linear equations (equalities) with two variables by graphing and/or algebraic manipulation.
- Manipulate factors to simplify complex fractions.
- Work with algebraic expressions involving real number exponents.
- Solve absolute value equations.
- Graph simple parabolas.
- Have a basic understanding of function notation, such as determining the value of a function for a specific number in the domain.
- Show a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions.
- Have a rudimentary understanding of coordinate geometry.
- Have a rudimentary understanding of exponential functions and logarithmic functions.

- For MATH 112 Expand dropdown
- Solve systems of linear equations (equalities) with two variables by graphing and/or algebraic manipulation.
- Manipulate factors to simplify complex fractions.
- Work with algebraic expressions involving real number exponents.
- Solve absolute value equations.
- Graph simple parabolas.
- Have a basic understanding of function notation, such as determining the value of a function for a specific number in the domain.
- Show a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions.
- Have a rudimentary understanding of coordinate geometry.
- Have a rudimentary understanding of exponential functions and logarithmic functions.
- Understand polynomial functions
- Evaluate and simplify expressions involving functional notation, including composition of functions.
- Solve simple equations involving trigonometric functions, logarithmic functions, and exponential functions.

- For MATH 120 and MATH 122 Expand dropdown
- Solve systems of linear equations (inequalities) with two variables by graphing and/or algebraic manipulation
- Manipulate factors to simplify complex fractions.
- Work with algebraic expressions involving real number exponents.

Solve absolute value equations. - Graph simple parabolas.
- Have a basic understanding of function notation, such as determining the value of a function for a specific number in the domain.
- Show a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions.
- Have a rudimentary understanding of coordinate geometry.
- Have a rudimentary understanding of exponential functions and logarithmic functions.
- Understand polynomial functions.
- Evaluate and simplify expressions involving functional notation, including composition of functions.
- Solve simple equations involving trigonometric functions, logarithmic functions, and exponential functions.
- Perform algebraic operations and solve equations with complex numbers.
- Understand the relationship between exponents and logarithms and the rules that govern the manipulation of logarithms and exponents.
- Understand trigonometric functions and their inverses.
- Solve trigonometric equations.
- Manipulate trigonometric identities.
- Recognize graphical properties of functions such as: absolute value, quadratic functions, and logarithmic functions.