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Two-step inequalities
Solving-2-step-inequalities 256
Description
Exercise Name: Two-step inequalities
Math Missions: 7th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics II Math Mission, Algebra I Math Mission, Mathematics I Math Mission
Types of Problems: 2

The Two-step inequalities exercise appears under the 7th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics II Math Mission, Algebra I Math Mission and Mathematics I Math Mission. This exercise practice two-step inequalities.

Types of Problems

There are two types of problems in this exercise:

  1. Solve the inequality: This problem provides a linear equality that requires an addition step and a division step. The user is asked to isolate the variable and use the drop-down menu and textbox to provide the solution.
    T-si1

    Solve the inequality

  2. Select the correct graph: This problem provides a linear inequality that requires two steps to solve. After solving the inequality, the user is asked to select the graph that is draw correctly to represent the inequality.
    T-si2

    Select the correct graph

Strategies

The Properties of Inequality are necessary to ensure doing this exercise correctly.

  1. The Properties of Inequality are almost the same as the properties of equality, except when multiplying or dividing by a negative the inequality sign will flip.
  2. The graph problems can also be completed by choosing a good test number or two and plugging them into the inequalities.

Real-life Applications

  1. For most people, in order to get their license they have to be at least 16. So, they can write this as an inequality. {x} is the age of a person who wants to drive. In this case {x} has to be greater than or equal to 16.
  2. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.

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