REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
CED.1: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear functions.
Focus on applying linear expressions.
CED.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
Focus on formulas in which the variable of interest is linear or square. For example, rearrange Ohm's law V = IR to highlight resistance R, or rearrange the formula for the area of a circle A = (π)r2 to highlight radius r.
REI.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.