Solving Two Step Inequalities in 7th Grade Math

This tutorial covers solving and graphing two-step inequalities. It explains how to handle different inequality signs, isolate variables, and find solution sets. The video demonstrates graphing solutions on a number line, using open and closed circles. A bonus example addresses handling negative variables in inequalities.

What is the first step in solving a two-step inequality?

• Graphing the inequality

• Isolating the variable

• Adding the same number to both sides

• Finding the solution set

In the inequality 5n - 4 > 6, what is the additive inverse of -4?

• 5

• -4

• -5

• 4

When graphing the solution set for n > 2, what type of circle is used at 2?

• Filled circle

• Closed circle

• Open circle

• No circle

In the inequality x/2 - 3 ≤ 4, what operation is used to counteract the division by 2?

• Addition

• Subtraction

• Division

• Multiplication

What is the solution set for the inequality x/2 - 3 ≤ 4?

• x > 14

• x < 14

• x ≥ 14

• x ≤ 14

When graphing the solution set for x ≤ 14, what type of circle is used at 14?

• Open circle

• Closed circle

• No circle

• Dashed circle

In the inequality -3x + 8 < -1, what is the first step to make the variable positive?

• Subtract 3x from both sides

• Multiply both sides by -1

• Add 3x to both sides

• Divide both sides by -3

What is the solution set for the inequality 3x + 8 < -1?

• x < -3

• x ≥ -3

• x > -3

• x ≤ -3

When graphing the solution set for x < -3, what type of circle is used at -3?

• No circle

• Filled circle

• Open circle

• Closed circle

In the bonus example, what is the solution set for the inequality 3x + 8 < -1?

• x < -3

• x ≥ -3

• x > -3

• x ≤ -3