Equations

02.07 Literal Equations Essential Questions How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters? How can you rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations? In the equation: "distance equals rate times time? ____________________ is the most important part. d=(r)(t) In d=(r)(t) the more efficient way to evaluate r is to__________________ it from the rest of the equation first. Work ______________________ to isolate the variable. The key to equations is ________________________.

02.03 Absolute Value Equations Essential Questions How can you represent constraints by absolute value equations? How can you interpret solutions as viable or nonviable options in a model? Absolute value equations can have: Examples One solution |x|= ________ Two solutions |x|= ______________________ No solutions |x| = _____________________ To solve an advance absolute value equation e.g. |2x-3|=11 Make two equations to solve by eliminating the absolute signs and making them equal opposite sign answers: Solve below: ___________________ ___________________ Check answers by substituting both into original equation. Check answers below: ____________________________________________ ____________________________________________ You can show constraints in real world problems by:

02.01 One-Variable Equations Essential Questions How can we create equations in one variable and use them to solve problems? How can we solve linear equations in one variable? KEEP IT ___________________. The goal is to figure out how much each x weight weighs. You do this by getting one x on one side and its value on the other side. STEPS TO SOLVING AN EQUATION Simplify each side of the __________________. Get the __________________ on one side of the ___________________. Get the _____________ by ___________________. (Solve for the variable) ___________ your solution. Follow along on page 3, Example 1. ?2(x + 1) = 5x + 4 ? x Simplify each side of the equation. Get the variable on one side of the equation.