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Student Inequality Word Problems

This document provides instructions for a unit project on real-life word problems involving inequalities. Students must [1] create an original two-step word problem incorporating symbols like <, >, ≥, ≤, [2] write the corresponding inequality, [3] solve for the variable, [4] make an inequality value table analyzing different values as true or false, [5] explain their table, [6] provide vocabulary used, and [7] present their project. The goal is for students to demonstrate understanding of inequalities through a creative, interest-based word problem.

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238 views4 pages

Student Inequality Word Problems

This document provides instructions for a unit project on real-life word problems involving inequalities. Students must [1] create an original two-step word problem incorporating symbols like <, >, ≥, ≤, [2] write the corresponding inequality, [3] solve for the variable, [4] make an inequality value table analyzing different values as true or false, [5] explain their table, [6] provide vocabulary used, and [7] present their project. The goal is for students to demonstrate understanding of inequalities through a creative, interest-based word problem.

Uploaded by

api-509081529
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Unit 4 Project: Real Life Word Problems

In class we have developed our understanding and knowledge of inequalities

and how they apply to life outside the classroom. In this assignment, you will be

asked to create your own word problem that incorporates inequalities. This word

problem must be realistic and reflect your interests. Each word problem must

correlate with a two-step inequality. Students can submit the assignment digitally

or on paper and are encouraged to be creative and have fun with this assignment.

1. Students must create a two-step word problem that imply the use of the
following symbols <, >, ≥, ≤

a. Megan has a target gift card worth $80. She wants to buy

several movies that cost $12 each plus an $8 video game. Write

and solve an inequality that represents the number of movies

she can buy without overspending.

b. Your turn:

_______________________________________________

_______________________________________________

_______________________________________________

_______________________________________________

_______________________________________________
2. Students must set up the inequality that correlates to the word

problem. Students must use the following symbols, <, >, ≥, ≤

80≥ 12x +8

Your turn: ______________________

3. Students will be asked to find the value of the variable and show all
work.

80 ≥ 12x +8

80-8≥ 12x

72 ≥ 12x

72/12 ≥ 12x/12

6≥x

Your turn:

4. Students will create an inequality value table with at least three

different values that determine if the inequality is true or false.

a. This table should include the value of the variable, the original

inequality, if the inequality is true or false, a graph and a

picture representation of the inequality.


Value 80 ≥ 12 x +8 True/false Graph Picture

4 80 ≥ 12 ( 4 ) +8 true
80 ≥ 48+8
80 ≥ 56

7 80 ≥ 12 ( 7 )+ 8 false
80 ≥ 84+ 8
80 ≥ 92

2 80 ≥ 12 ( 2 ) +8 true
80 ≥ 24+8
80 ≥ 36

Your turn:

Value True/false Graph Picture


5. Students will write a few sentences explaining why these different

values made the inequality true or false.

a. The value 4 makes the inequality true because 4 is less than 6.

Additionally, when you plug 4 in for x, you get that 56 is less

than or equal to 80. Therefore, you can buy 4 movies and have

$24 left over.

b. Your turn:

_______________________________________________

_______________________________________________

_______________________________________________

_______________________________________________

6. Students will create a vocabulary sheet with definitions for each

vocabulary word they used in their project.

a. Inequality- a mathematical sentence that compares expressions.


It contains the symbols, <, >, ≤, ≥.

b. Solution set- The set of all solutions of an inequality

Your turn: Create a list of vocabulary words that you used in your project

_______________________________________________________

7. Students will clearly and effectively present their project to the class.

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