Exploring Multi-Step Inequalities in Algebra 1

This video tutorial covers solving multi-step inequalities using methods similar to solving multi-step equations. It includes combining like terms and applying techniques from one-step and two-step inequalities. The video provides detailed solutions and graphing instructions for several inequality problems, demonstrating how to handle negative coefficients and flip inequality signs when necessary.

What is the first step in solving the inequality 3 < -5n + 2n?

• Add 5n to both sides

• Subtract 2n from both sides

• Combine like terms on the right-hand side

• Divide by -5

When solving the inequality 3 < -3n, what must you remember to do after dividing by -3?

• Add 3 to both sides

• Multiply by -3

• Flip the inequality sign

• Subtract 3 from both sides

Tags

CCSS.6.EE.B.8

In the inequality 12x + 2 < 14, what is the next step after combining like terms?

• Divide by 12

• Subtract 2 from both sides

• Add 2 to both sides

• Multiply by 12

Tags

CCSS.7.EE.B.4B

What is the solution to the inequality 12x < 12?

• x ≤ 1

• x < 1

• x > 1

• x = 1

Tags

CCSS.6.EE.B.8

How do you solve the inequality -P - 4P > -10?

• Multiply by -5

• Combine like terms and divide by -5

• Subtract 4P from both sides

• Add 4P to both sides

What is the solution to the inequality 18 ≥ 5K + 4K?

• K > 2

• K < 2

• K ≥ 2

• K ≤ 2

In the inequality -3 - 6(4x + 6) > -111, what is the first step?

• Combine like terms

• Subtract 6 from both sides

• Distribute the -6

• Add 6 to both sides

Tags

CCSS.HSA.REI.A.1

What is the solution to the inequality -24x > -72?

• x < 3

• x > 3

• x ≤ 3

• x ≥ 3

Tags

CCSS.6.EE.B.8

How do you solve the inequality 6 - 4(6n + 7) ≥ 122?

• Multiply by 4

• Subtract 4 from both sides

• Distribute the -4 and combine like terms

• Add 4 to both sides

What is the solution to the inequality -138 ≥ -6(6B - 7)?

• B ≤ 5

• B ≥ 5

• B > 5

• B < 5

Tags

CCSS.7.EE.B.4B