Solving Multi-Step Inequalities in Algebra

This lesson covers solving multi-step inequalities, including those involving the distributive property. It provides examples such as a financial literacy problem, converting verbal expressions to inequalities, and handling parentheses. The lesson emphasizes understanding and solving inequalities through various examples, ensuring students can apply these skills independently.

What is the main focus of lesson five?

• Understanding quadratic functions

• Graphing linear equations

• Solving multi-step inequalities

• Solving single-step equations

In the word problem about the print shop, what is the setup fee?

• $3.00

• $3.50

• $4.00

• $4.50

What inequality represents the print shop's charge per flyer being less than the competition?

• 400X + 3.50 < 35.50

• 400X - 3.50 < 35.50

• 400X + 3.50 > 35.50

• 400X - 3.50 > 35.50

When solving the inequality 23 ≥ 10 - 2w, what is the first step?

• Add 10 to both sides

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 10 from both sides

What happens to the inequality symbol when you divide both sides by a negative number?

• It stays the same

• It flips

• It becomes an equal sign

• It disappears

How do you represent 'two more than half a number is greater than 27' as an inequality?

• 1/2X - 2 > 27

• 1/2X + 2 < 27

• 2 + 1/2X > 27

• 2X + 1/2 > 27

What is the solution to the inequality 1/2X > 25?

• X < 12.5

• X > 50

• X < 50

• X > 12.5

What is the first step when solving an inequality with parentheses on one side?

• Subtract the number outside the parentheses

• Divide by the number inside the parentheses

• Distribute the number outside the parentheses

• Add the numbers inside the parentheses

What is the solution to the inequality 6(5Z - 3) ≤ 36Z?

• Z ≥ -3

• Z ≤ -3

• Z ≥ 3

• Z ≤ 3

What does it mean if both sides of an inequality are identical?

• There is no solution

• All real numbers are solutions

• The inequality is invalid

• The inequality must be rewritten