Solving Multi-Step Inequalities in Grade 7

The video tutorial covers solving multi-step inequalities for grade 7 students. It begins with basic inequalities and progresses to more complex problems involving fractions, decimals, and negative numbers. The tutorial also addresses inequalities with variables on both sides, emphasizing the use of inverse operations and graphing solutions. The instructor provides step-by-step guidance and examples to help students understand and solve these mathematical problems effectively.

What is the first step in solving the inequality 3a - 7 > 26?

• Subtract 7 from both sides

• Divide both sides by 3

• Add 7 to both sides

• Multiply both sides by 3

After solving 3a - 7 > 26, what is the value of 'a'?

• a < 7

• a > 11

• a > 7

• a < 11

When solving the inequality 4/5x > 1, what should you do first?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5

• Convert to an improper fraction

What is the solution to the inequality 4x > 8 - 5?

• x > 2

• x > 1

• x > 3

• x > 4

How do you handle the inequality -0.2a ≥ 12?

• Subtract 0.2 from both sides

• Add 0.2 to both sides

• Divide both sides by -0.2

• Multiply both sides by -0.2

What happens to the inequality sign when you divide by a negative number?

• It stays the same

• It becomes an equal sign

• It changes direction

• It disappears

In the inequality 3 < -7 + a, what is the first step to isolate 'a'?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the solution to the inequality 3 < -7 + a?

• a > 14

• a > 3

• a > 7

• a > 10

When solving 3 - x ≤ 4, what should you do after subtracting 3 from both sides?

• Divide both sides by -1

• Multiply both sides by -1

• Subtract 4 from both sides

• Add 3 to both sides

What is the solution to the inequality 3 - x ≤ 4?

• x ≤ 1

• x ≥ 1

• x ≥ -1

• x ≤ -1