W21 - Friday

Welcome to today's lesson on identifying solutions to a two‐step linear inequality in one variable! Let's begin by recalling what a two‐step inequality is.

• Continue
• Stop

Fill in the blank: An expression that compares two values using symbols like <, >, ≤, or ≥ is called an _______.

What is a two‐step inequality?

• An inequality solved using one operation
• An inequality solved using two operations
• An inequality solved using three operations
• Not an inequality
• Inequality with no solution

Which ancient civilization is known for early developments in algebra?

• Egyptians
• Babylonians
• Greeks
• Romans
• Chinese

What is the first step when solving a two‐step inequality like 8y + 9 ≥ -23?

• Add the constant
• Subtract the constant
• Multiply both sides by 2
• Divide both sides by the variable
• None of these

After subtracting 9 from both sides, what inequality do we get from 8y + 9 ≥ -23?

• 8y ≥ -32
• 8y ≥ -14
• 8y ≥ -23
• 8y ≥ 14
• 8y ≥ 23

Which operation is used to isolate y after subtracting the constant in 8y + 9 ≥ -23?

• Addition
• Subtraction
• Multiplication
• Division
• Exponentiation

Divide both sides of 8y ≥ -32 by 8. What is the result?

• y ≥ -4
• y ≥ 4
• y ≥ -32
• y ≥ 8
• y ≥ 0

Is the value y = -4 a solution to 8y + 9 ≥ -23?

• Yes
• No
• Maybe
• Not enough information
• None of these

Fill in the blank: The final answer to 8y + 9 ≥ -23 is y ≥ _______.