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# The SAT Math Test: Passport to Advanced Math

### SAT Math questions fall into different categories called "domains." One of these domains is Passport to Advanced Math: questions that ask you to analyze advanced mathematical expressions.

You will not need to know domain names for the test!
The SAT is designed to assess how ready you might be to tackle more advanced mathematics in college or later on in your career, so it includes some more advanced topics.
Passport to Advanced Math problems will test your understanding of the structure of expressions, and you will be asked to analyze, manipulate, and rewrite these expressions. This includes an understanding of the key parts of expressions, such as terms, factors, and coefficients.
This category also includes other skills crucial for success in later mathematics and scientific fields, such as:
• Solving quadratic and other nonlinear equations
Example
If a, squared, plus, 14, a, equals, 51 and a, is greater than, 0, what is the value of a, plus, 7 ?

• Understanding the graphs of quadratic and higher-order functions
• Interpreting a solution, constant variable, or term based on the context of a nonlinear equation in one variable
• Creating and using quadratic or exponential functions
• Using a graph to identify other equations in a system with a non-linear equation
Example
The function f, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, minus, 2, point, 4, x, squared is graphed in the x, y-plane as shown above. If k is a constant such that the equation f, left parenthesis, x, right parenthesis, equals, k has 4 solutions, which of the following could be the value of k ?