Writing Two-Step Inequalities from Word Problems

This video tutorial covers the concept of inequalities, focusing on one-step and two-step inequalities. It explains how to solve these inequalities using additive inverses and division. The tutorial also demonstrates how to apply inequalities to real-world problems, such as calculating the number of rides at an amusement park or determining the number of cookies in a batch. Additionally, it includes a mountain climbing example to illustrate the application of inequalities in a practical scenario. The video concludes with a preview of the next lesson on solving and graphing two-step inequalities on a number line.

What operation is used to solve the inequality 2x < 3?

• Subtraction

• Multiplication

• Addition

• Division

In the inequality 4x + 5 ≥ 17, what is the first step to isolate x?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 5 from both sides

• Add 5 to both sides

In the context of inequalities, what does an additive inverse involve?

• Adding the same positive number to both sides

• Adding the same negative number to both sides

• Subtracting the same number from both sides

• Multiplying both sides by -1

What does the inequality sign ≤ signify?

• Greater than

• Less than

• Greater than or equal to

• Less than or equal to

How many rides can a person afford if the entrance fee is $5 and each ride costs $2, with a total of $16?

• 4 rides

• 6 rides

• 3 rides

• 5 rides

What is the result of dividing both sides of the inequality 2r + 5 ≤ 16 by 2, after subtracting 5 from both sides?

• r ≤ 11

• r ≤ 6

• r ≤ 7.5

• r ≤ 5.5

What is the minimum number of cookies in each batch if Lisa baked two batches and 10 more, totaling at least 50 cookies?

• 15 cookies

• 20 cookies

• 25 cookies

• 30 cookies

If Bob has $84 and needs to buy a cake for $18, how many $12 pizzas can he afford?

• 6 pizzas

• 4 pizzas

• 3 pizzas

• 5 pizzas

What is the maximum number of feet climbers must ascend daily to reach the summit in six days, starting from 18,460 feet and aiming for 29,029 feet?

• 300 feet

• 261 feet

• 400 feet

• 350 feet

What type of inequality sign is used when the condition specifies 'at most'?

• <

• >

• ≤

• ≥