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

Math Task

Unit 4 · Lesson 12: Linear Equations

Directions: Solve and interpret.

1. You need 80 inches of ribbon for each package like the one below. The bow takes 34
   inches of ribbon. The width of the box is 16 inches. The ribbon will be wrapped once
   around the width of the package and then tied into a bow. Write an equation to find the
   height of the box.

Solution:

푥푥=height of box

2 푥푥+ 2(16) + 34 = 80

2 푥푥+ 32 + 34 = 80

2 푥푥+ 66 = 80

2 푥푥= 14

푥푥= 7 inches for height of box

2. Using the information in Problem #1, what would be the total amount of ribbon needed to
   wrap 32 boxes like the one above? What would be the total amount of ribbon for 20
   smaller boxes that use half as much ribbon? How many yards is that? Explain how
   much you would buy.

Solution:

푥푥=total ribbon needed

푥푥=32(80) + 20 (40)

푥푥= 2560 + 800

푥푥= 3360 inches of ribbon

푥푥=93. 33 yards or about 93 yards

Name: ___

Date: ___

푥푥

16