Inequalities in one variable 1

The topic Inequalities in one variable 1 was an exercise under the 6th grade (U.S.) Math Mission. This exercise brought together multiple skills with the inequality symbols on number lines.

Types of Problems

There are three types of problems in this exercise:

1. Select which statements are true or false: This problem has a numerical inequality provided at the beginning of the page. It then has users select whether certain values for the variable are correct solutions to the inequality and which are not.

   

   Select which statements are true or false

2. Write an inequality: This problem has a description of infinitely many values that can be represented with an inequality. The user is asked to write a correct inequality in the space provided.

   

   Write an inequality

3. Make a number line: This problem provides a real-life situation that can be modeled by an inequality. The user is asked to use the manipulative to create a number line correctly modeling the situation.

   

   Make a number line

Strategies

Knowledge of inequalities and ability to translate mathematics is necessary for this problem. Speed badges are reasonable to attain because the types of problems repeat at a steady clip.

1. For the Select which statements are true or false problem speed can be improved if the values that make the inequality true are selected first, and then the other values are just labeled as false.
2. There is no need for "equal to" all inequalities that need to be written use < or > only.
3. Read the Make a number line problems carefully because instead of representing the values that "work" it sometimes requests the values that "don't work" to be shaded.

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 > or equal to 16.