Solving Two-Step Inequalities in 7th Grade Math

This tutorial covers solving and graphing linear inequalities. It begins with an introduction to inequalities and their symbols, followed by instructions on graphing inequalities on a number line. The video then explains the steps to solve linear inequalities, emphasizing the importance of reversing the inequality symbol when multiplying or dividing by a negative number. Several examples are provided to illustrate these concepts, with a focus on ensuring students understand the process and can apply it to different problems.

Which symbol represents 'greater than or equal to'?

• <

• >

• ≥

• ≤

In the inequality X > 5, why is the endpoint 5 represented with an open circle?

• Because 5 is part of the solution.

• Because 5 is not part of the solution.

• Because 5 is greater than 5.

• Because 5 is less than 5.

When graphing X < -1, which direction should you shade on the number line?

• To the left of -1

• To the right of -1

• Both directions

• Neither direction

What is the first step in solving the inequality -3z - 12 > -3?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by -3

• Multiply both sides by -3

When solving -3z > 9, why must you reverse the inequality symbol?

• Because you are dividing by a negative number

• Because you are subtracting a positive number

• Because you are adding a positive number

• Because you are multiplying by a positive number

In the inequality X / -5 + 2 ≥ 1, what is the next step after isolating X / -5?

• Subtract 2 from both sides

• Add 5 to both sides

• Divide both sides by -5

• Multiply both sides by -5

When solving the inequality -2F > 8, what is the result after dividing both sides by -2?

• F > -4

• F < 4

• F < -4

• F > 4

In the inequality n / 2 - 3 > -7, what is the first step to isolate n?

• Divide both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 2

When solving 4a + 10 > 2, what is the result after subtracting 10 from both sides?

• 4a > 12

• 4a > -8

• 4a < -8

• 4a < 12

In the inequality 4a > -8, what is the final step to solve for a?

• Divide both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4