1. HOW is an inequality like an equation? How is it different?
Expressions and Equations
HOW is an inequality like an equation? How is it different?
Course 2, Inquiry Lab before Lesson 6-6

2. Expressions and Equations
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
Course 2, Inquiry Lab before Lesson 6-6 Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

3. Mathematical Practices
Expressions and Equations
Mathematical Practices
1 Make sense of problems and persevere in solving them.
2 Reason abstractly and quantitatively.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Course 2, Inquiry Lab before Lesson 6-6 Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

4. You can use a balance to model and solve the inequality x + 2 ≤ 5.
Expressions and Equations
Mr. Numkena volunteered to drive Hinto and his friends to the school dance. The car can carry up to 5 people, including the driver. How many friends can ride in the car with Hinto?
The real world situation described above can be represented by the inequality x + 2 ≤ 5. let x represent the friends that can ride with Hinto.
You can use a balance to model and solve the inequality x + 2 ≤ 5.
Activity 1
Continued 
Course 2, Inquiry Lab before Lesson 6-6

5. On one side of a balance, place a paper bag and cubes to model x + 2
Expressions and Equations
Mr. Numkena volunteered to drive Hinto and his friends to the school dance. The car can carry up to 5 people, including the driver. How many friends can ride in the car with Hinto?
You can use a balance to model and solve the inequality x + 2 ≤ 5.
On one side of a balance, place a paper bag and cubes to model x + 2
On the other side of a balance, place cubes.
Add one cube to the bag at a time. Then complete the table.
So, up to friends can ride with Hinto to the school dance.
Course 2, Inquiry Lab before Lesson 6-6

6. Expressions and Equations
An airline charges for checked luggage that weights more than 50 pounds. Mia’s suitcase currently weighs 35 pounds and she still needs to pack her shoes. Find the maximum amount her shoes can weigh so Mia will not be charged a fee.
In the bar diagram, write the maximum weight Mia’s luggage can be without a fee. Label the weight of Mia’s luggage without her shoes.
Activity 2
Continued 
Course 2, Inquiry Lab before Lesson 6-6

7. Using the bar diagram, Mia’s shoes cannot weight more than
Expressions and Equations
An airline charges for checked luggage that weights more than 50 pounds. Mia’s suitcase currently weighs 35 pounds and she still needs to pack her shoes. Find the maximum amount her shoes can weigh so Mia will not be charged a fee.
In the bar diagram, write an x beside the bar the represents the weight of Mia’s luggage.
The weight of Mia’s suitcase plus the weight of her shoes must be less than or equal to the maximum luggage weight. This can be written as
35 + x ≤ 50.
Using the bar diagram, Mia’s shoes cannot weight more than
50 – 35 or pounds.
Course 2, Inquiry Lab before Lesson 6-6

8. HOW is an inequality like an equation? How is it different?
Expressions and Equations
HOW is an inequality like an equation? How is it different?
Course 2, Inquiry Lab before Lesson 6-6