Solving Two-Step Inequalities in Word Problems

This video tutorial covers lesson 29a on solving word problems involving two-step inequalities. It begins with an introduction to the concept and the importance of understanding word phrases that indicate inequalities. The lesson includes four examples: calculating the number of lessons a student can take, determining weeks needed to save for a trip, saving for a digital camera, and calculating driving hours. Each example demonstrates setting up and solving inequalities, emphasizing the use of complete sentences in answers.

What is the first step in solving a two-step inequality word problem?

• Multiply or divide first

• Add or subtract first

• Guess the answer

• Write the final answer directly

In the context of inequalities, what does the phrase 'no more than' mean?

• Equal to

• Less than

• Less than or equal to

• Greater than

Tags

CCSS.6.EE.B.8

If a student can take no more than 5 lessons, which inequality represents this situation?

• X ≤ 5

• X ≥ 5

• X < 5

• X > 5

Tags

CCSS.6.EE.B.8

Sam saves $45 each week and already has $180. If his trip must cost below $900, how many weeks will it take him to save for the trip?

• Less than 16 weeks

• Exactly 16 weeks

• At least 16 weeks

• More than 16 weeks

What does the word 'below' indicate in the context of inequalities?

• Greater than

• Less than

• Equal to

• Greater than or equal to

Tags

CCSS.6.EE.B.8

Carmella is saving $15 each week and already has $24. If the camera costs at least $249, how many weeks will it take her to save enough?

• At least 15 weeks

• Exactly 15 weeks

• More than 15 weeks

• Less than 15 weeks

In the context of inequalities, what does 'at least' mean?

• Equal to

• Less than

• Greater than or equal to

• Greater than

Tags

CCSS.6.EE.B.8

Kara has driven 75 miles and averages 55 miles per hour. How many more hours must she drive to travel more than 350 miles?

• More than 5 hours

• Exactly 5 hours

• Less than 5 hours

• At least 5 hours

What does the phrase 'more than' indicate in the context of inequalities?

• Less than

• Greater than

• Equal to

• Less than or equal to

Which property of inequalities is used when you subtract the same number from both sides?

• Subtraction property

• Division property

• Multiplication property

• Addition property

Tags

CCSS.6.EE.B.8