Analyze and solve linear equations and pairs of simultaneous linear equations: Solve linear equations in one variable: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

Supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them. • 2 Reason abstractly and quantitatively. • 5 Use appropriate tools strategically. • 6 Attend to precision. • 7 Look for and make use of structure • 8 Look for and express regularity in repeated reasoning.