Section 1.4: Rational Expressions

  1. Explain how to construct a rational expression from two polynomials.
  2. Specify the domain of polynomial, \(n\)-th root, and fractional expressions.
  3. Add, subtract, multiply, and divide rational expressions to get a rational expression in a specified form.
  4. Identify errors in an incorrect simplification of a rational expression.

Section 1.5: Equations

  1. Explain what it means for a value of a variable to “solve an equation.”
  2. Distinguish between linear and nonlinear equations.
  3. List operations you can perform to each side of an equation and maintain equality.
  4. Solve a linear equation.
  5. State the quadratic formula.
  6. Solve a quadratic equation by factoring or using the quadratic formula.
  7. Perform a “check your answer” procedure after solving an equation.