Solving One and Two-Step Inequalities Challenge

This video tutorial teaches how to solve one and two-step inequalities by extending the understanding of solving equations. It reviews solving equations using inverse operations and introduces the concept of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial provides step-by-step instructions for solving both one-step and two-step inequalities, including graphing solutions and checking answers. Practice problems are included to reinforce learning.

What is the first step in solving an equation?

• Multiply both sides by the same number

• Subtract the same number from both sides

• Draw a line on the equals sign

• Add the same number to both sides

What does the variable represent in an equation?

• A coefficient

• A constant value

• A missing or unknown number

• A known number

When solving an inequality, what must you do if you multiply or divide by a negative number?

• Add the same number to both sides

• Keep the inequality sign the same

• Subtract the same number from both sides

• Flip the direction of the inequality sign

In the inequality n + 5 ≤ 16, what is the first step to isolate n?

• Multiply both sides by 5

• Subtract 5 from both sides

• Divide both sides by 5

• Add 5 to both sides

How do you check if your solution to an inequality is correct?

• Graph the inequality

• Plug in a number from the shaded region

• Multiply both sides by the same number

• Subtract the same number from both sides

What is the result of dividing both sides of the inequality -4k ≤ 22 by -4?

• k ≤ 5.5

• k ≥ -5.5

• k ≤ -5.5

• k ≥ 5.5

What is the first step in solving the inequality 5x + 9 < 17?

• Divide both sides by 5

• Subtract 9 from both sides

• Add 9 to both sides

• Multiply both sides by 5

When solving the inequality -2x - 3 > 13, what should you do after adding 3 to both sides?

• Subtract 3 from both sides

• Divide both sides by -2

• Add 2 to both sides

• Multiply both sides by -2

What is the final step in solving an inequality?

• Subtract the same number from both sides

• Add the same number to both sides

• Check the solution by plugging in a value

• Graph the inequality

What should you do if you multiply or divide by a negative number while solving an inequality?

• Subtract the same number from both sides

• Add the same number to both sides

• Keep the inequality sign the same

• Flip the direction of the inequality sign