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Copyright © Swun MathCopyright © Swun Math (^) Grade 8 Unit 4 Lesson 12 T TE

Homework

Unit 4 · Lesson 12: Linear Equations

Directions: Solve and interpret.

1. Consider Problem #3 from the task you completed. What would be a good visual
   representation of the box with each side shown separately? Explain why this might be
   helpful when writing the equation for the surface area of the box?


2. A gift box needs to be filled with jellybeans. The volume of the box is 229.5 cubic inches.
   The length of the box is 6 inches and the width of the box is 4.5 inches. Draw a picture
   and label what you know about the box. Define a variable for the missing dimension and
   write and equation to find it. What is the height of the box?


3. You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is
   12 inches wide by 16 inches long. The area of the tissue paper sheet is based on twice the
   length times the width of the box. Find the area of a tissue paper sheet.


4. Challenge Question: There is an equal amount of tissue paper that hangs over each side of
   the box. How much extra per side? Draw and label the tissue paper sheet using dotted
   lines to show the extra tissue that is wider than the box. Use x for each extra amount on
   the width. Can you think of another way to represent an equation for the area of the
   tissue paper using x for the extra paper flaps? What is the width of each flap?

Name: ___

Date: ___