The PSAT 8/9 is a standardized test administered by CollegeBoard for 8th and 9th graders. The math section emphasizes problem solving, modeling, using tools strategically, and using algebraic structure. A total of 38 questions, the math section is divided into a calculator and no-calculator sections.

### Content

Create, solve, or interpret a linear expression or equation in one variable that represents a context; Create, solve, or interpret linear inequalities in one variable that represent a context; Build a linear function that models a linear relationship between two quantities; Create, solve, and interpret systems of linear inequalities in two variables; Create, solve, and interpret systems of two linear equations in two variables; Algebraically solve linear equations (or inequalities) in one variable; Algebraically solve systems of two linear equations in two variables; Interpret the variables and constants in expressions for linear functions within the context presented; Understand connections between algebraic and graphical representations; Use ratios, rates, proportional relationships, and scale drawings to solve single- and multistep problems; Solve single- and multistep problems involving percentages; Solve single- and multistep problems involving measurement quantities, units, and unit conversion; Given a scatterplot, use linear, quadratic, or exponential models to describe how the variables are related; Use the relationship between two variables to investigate key features of the graph; Compare linear growth with exponential growth; Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability; Make inferences about population parameters based on sample data; Use statistics to investigate measures of center of data and analyze shape, center, and spread; Evaluate reports to make inferences, justify conclusions, and determine appropriateness of data collection methods; 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, including 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; Add, subtract, and multiply polynomial expressions and simplify the result; Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction; Solve a system of one linear equation and one 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, and use that knowledge to sketch graphs; Understand a nonlinear relationship between two variables by making connections between their algebraic and graphical representations; Use function notation, and interpret statements using function notation. The student will use function notation to solve conceptual problems related to transformations and compositions of functions; Use structure to isolate or identify a quantity of interest in an expression or isolate a quantity of interest in an equation. see https://collegereadiness.collegeboard.org/about/alignment/math/psat-8-9…

### Administration Information

### Access and Use

$17 per test (2019-2020)

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Kreisman, D., & Steinberg, M. P. (2019). The effect of increased funding on student achievement: Evidence from Texas's small district adjustment. Journal of Public Economics, 176, 118-141. https://doi.org/10.1016/j.jpubeco.2019.04.003