Multi-step linear inequalities

The  exercise appears under the Algebra I Math Mission. This exercise practices solving linear inequalities with multiple instances of the variable and numerical quantities.

Types of Problems
There is one type of problem in this exercise:


 * 1) Solve the inequality: This problem provides a linear inequality. The student is asked to use the properties of inequalities to isolate the variable and use the manipulative to correctly state the inequality.Msli1.png

Strategies
Knowledge of the properties of inequality and comfort with the notation are needed to perform this exercise accurately and efficiently.
 * 1) The manipulative requires the variable to always be on the left.
 * 2) Multiplying or dividing an inequality causes the inequality symbol to flip. This is because multiplying by a negative has the geometric effect of reflecting numbers on a one-dimensional number line over the origin.

Real-life Applications

 * 1) Inequalities are much more useful then equation in real-life because of the imprecise nature of the world. Good estimates become more powerful than exact answers.