Heart of Algebra

Heart of Algebra focuses on linear equations, systems of linear equations, and functions. These questions ask you to create equations that represent a situation, solve equations and systems of equations, and make connections between different representations of linear relationships. 

Heart of Algebra includes the following types of questions: 

  • Create, solve, or interpret a linear expression or equation in 1 variable.  

  • Create, solve, or interpret linear inequalities in 1 variable.  

  • Build a linear function that models a linear relationship between 2 quantities.  

  • Create, solve, and interpret systems of linear inequalities in 2 variables.  

  • Create, solve, and interpret systems of 2 linear equations in 2 variables.  

  • Algebraically solve linear equations (or inequalities) in 1 variable.  

  • Algebraically solve systems of 2 linear equations in 2 variables.  

  • Interpret the variables and constants in expressions for linear functions. 

  • Understand connections between algebraic and graphical representations.  

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