Solving Multi-Step Inequalities in Algebra

Miss Kasia explains how to solve and graph multi-step inequalities, emphasizing the importance of simplifying expressions, distributing terms, and combining like terms. She highlights the key difference between solving equations and inequalities: flipping the inequality sign when multiplying or dividing by a negative number. The video includes six detailed examples, each demonstrating the process of solving and graphing inequalities on a number line.

What is the key difference between solving multi-step inequalities and multi-step equations?

• You need to subtract a constant at the end.

• You need to flip the inequality sign when multiplying or dividing by a negative number.

• You need to multiply by a positive number at the end.

• You need to add a constant at the end.

In the first inequality, what is the result of combining like terms on the left side?

• Negative 10x

• Negative 6x

• Negative 8x

• Negative 4x

When solving the first inequality, what is the final value of x?

• x is greater than or equal to -3

• x is less than or equal to -3

• x is greater than or equal to 3

• x is less than or equal to 3

In the second inequality, what is the result after distributing the 3 inside the parentheses?

• 3x + 20 + 16

• 3x + 30 + 16

• 3x + 20 + 6

• 3x + 30 + 6

What is the final value of x in the second inequality?

• x is less than -12

• x is less than -14

• x is less than -10

• x is less than -16

In the third inequality, what is the result after combining like terms on the right side?

• 2x - 20

• 2x - 10

• 2x - 40

• 2x - 30

In the fourth inequality, what is the result of distributing -1/5 to 15x?

• Negative 2x

• Negative 4x

• Negative 3x

• Negative 5x

What is the final value of x in the fourth inequality?

• x is less than -10

• x is less than -17

• x is less than -12

• x is less than -15

In the fifth inequality, what is the result of combining 22 and -21.6?

• 0.4

• 1.4

• 3.4

• 2.4

What is the final value of x in the sixth inequality?

• x is greater than or equal to -2

• x is greater than or equal to 1

• x is greater than or equal to 0

• x is greater than or equal to -1