Passport to Advanced Math

Passport to Advanced Math includes the following types of questions: 

• Create a quadratic or exponential function or equation that models a context. 

• Determine the most suitable form of an expression or equation to reveal a particular trait, given a context. 

• Create equivalent expressions involving rational exponents and radicals, which includes simplifying or rewriting in other forms. 

• Create an equivalent form of an algebraic expression by using structure and fluency with operations. 

• Solve a quadratic equation having rational coefficients. The equation can be presented in a wide range of forms to reward attending to algebraic structure and can require manipulation to solve. 

• Add, subtract, and multiply polynomial expressions. Simplify the result. The expressions will have rational coefficients. 

• Solve an equation in 1 variable that contains radicals or contains the variable in the denominator of a fraction.  

• Solve a system of 1 linear equation and 1 quadratic equation.  

• Rewrite simple rational expressions.  

• Interpret parts of nonlinear expressions in terms of their context.  

• Understand the relationship between zeros and factors of polynomials. Use that knowledge to sketch graphs.  

• Understand a nonlinear relationship between 2 variables by making connections between their algebraic and graphical representations.  

• Use function notation, and interpret statements using function notation.  

• Use structure to isolate or identify a quantity of interest in an expression or isolate a quantity of interest in an equation.  

For tutorials and practice questions of all these types, go to Official SAT Practice on Khan Academy at satpractice.org.