Translating and Solving Inequalities

Coach Holiday teaches students how to translate verbal phrases into inequalities. The lesson covers inequality symbols, their meanings, and associated words. Two examples are provided to demonstrate how to write, solve, and graph inequalities. The lesson concludes with a review and instructions for further practice.

What is the main focus of this lesson?

• Graphing linear equations

• Solving quadratic equations

• Translating verbal phrases into inequalities

• Translating verbal phrases into equations

Which symbol is associated with the phrase 'fewer than'?

• Less than

• Greater than

• Not equal to

• Equal to

What does 'at most' indicate in terms of inequalities?

• Less than or equal to

• Less than

• Greater than

• Greater than or equal to

Which phrase is associated with 'greater than or equal to'?

• At least

• Fewer than

• No more than

• Exactly

What does the phrase 'no less than' indicate in terms of inequalities?

• Greater than or equal to

• Greater than

• Less than

• Less than or equal to

What does the phrase 'no less than' indicate in terms of inequalities?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

In the inequality '6 increased by twice a number is no more than 20', what does 'twice a number' mean?

• Add two to the number

• Divide the number by two

• Subtract two from the number

• Multiply the number by two

What is the inequality form of '6 increased by twice a number is no more than 20'?

• 6 + 2x ≥ 20

• 6 + 2x > 20

• 6 + 2x < 20

• 6 + 2x ≤ 20

When solving the inequality 6 + 2x ≤ 20, what is the first step?

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the solution to the inequality 6 + 2x ≤ 20?

• x ≤ 7

• x > 7

• x ≥ 7

• x < 7