Name: ______Date: ______Period: ______

Solving an Inequality – Adding and Subtracting

You can use the Gizmotm( to practice graphing the solutions to inequalities involving addition or subtraction. The Gizmo displays random inequalities and your goal is to use the controls below the random inequality to graph the solution.

  1. Click New to display a random inequality at the top–left of the screen. Continue clicking New until you see an inequality that involves subtraction. Solve the inequality. SHOW ALL YOUR STEPS!!!
    Inequality ______
  2. When an inequality involves subtraction, what operation must you always use to find the solution? How did you solve the inequality?
  3. Choose the correct inequality symbol for the solution by clicking one of the buttons below the inequality. How does the symbol in the solution compare to the symbol in the original inequality?
  4. Move the slider to choose the starting point for the solution. (You can set the value quickly by typing a number in the box to the right of the slider and pressing ENTER.) Will the solution begin at a closed or open dot? How do you know?
  5. Click on Show solution to find out if you graphed the correct solution. A checkmark will appear if your solution is correct. Is the shading to the right or to the left of the starting point? How do you determine which side the shading should be on?
  6. Click New repeatedly until the random inequality at the top–left involves addition. Solve the random inequality. SHOW ALL YOUR STEPS!!!
    Inequality ______
  1. When an inequality involves addition, what operation must you always use to find the solution? How did you solve the inequality?
  2. Choose the correct inequality symbol for the solution by clicking one of the buttons below the inequality. How does the symbol in the solution compare to the symbol in the original inequality?
  3. Move the slider to the starting point for the solution. Will the solution begin at a closed or open dot? How do you know?
  4. Click on Show solution to find out if you graphed the correct solution. A checkmark will appear if your solution is correct. Is the shading to the right or to the left of the starting point? How do you know which side the shading should be on?
  1. Click New to display a random inequality and then use the buttons and the slider to display the solution. Click on Show solution to check your answer. SHOW ALL YOUR STEPS!!!
    Inequality ______
  2. Pick three numbers that the shading for the solution passes through and substitute them into the original inequality. What do you notice for each of these numbers?
  3. Pick three numbers that the shading for the solution does not pass through and substitute them into the original inequality. What do you notice for each of these numbers?
  4. If the shading begins at a closed dot, what do you expect to happen when you substitute that value into the original inequality? Why? What if the solution begins at an open dot?

Name: ______Date: ______Period: ______

Quiz – Solving One-Step Inequalities

  1. Describe how the graph of x > 7 would be graphed. (open or closed dot, at what point, shading to the right or left).
  1. Write the inequality that matches the graph below.
  2. Solve the inequality:

  3. Is this answer correct? Justify your answer.