lesson 8: word problems with adding & subtracting … 08 word problems with... · lesson 08...

Lesson 08 Word Problems with + & - of Rationals ANSWERS

Do Now:

feet below sea level to a nest that is

What is the difference in elevation between the bottom of the canyon and the bird's nest?

Simplify your answer. Leave your final answer as an integer, proper fraction, or mixed number.

Lesson 8: Word Problems with Adding & Subtracting Rational Numbers


1) The temperature in a town is 33.3oF during the day and -15.3oF at night. Find the difference in the temperatures.

Practice: Word Problems with Adding & Subtracting Rational Numbers

Tip: Draw a diagram to help you set-up your work.


2) There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?




3) Julia is hanging birdhouses on her fence, which includes one red post. The first birdhouse is 23.2 in. to the left of the red post. The second birdhouse is 26.1 in. to the right of the first birdhouse. Describe the location of the second birdhouse with respect to the red post.



to the right of

the red post


4) The formula V = R - N describes the variation V of the recorded temperature R from the normal o o

variation from the normal temperature?




5a) A group of friends are rock climbing. Alfonso is 25.2 feet above the ground. Kiera is directly below Alfonso at 15.1 feet above the ground. How far apart are they?

b) Travis and Shayla are climbing another wall. Travis is 15.1 feet above ground. Shayla is directly above Travis at 25.2 feet above the ground. How far apart are they?

c) Write two different equations for finding the two distances. Explain why the answers are alike or different.

a) Distance1 = |25.2 - 15.1| = |10.1| = 10.1

b) Distance2 = |15.1 - 25.2| = |-10.1| = 10.1

c) The order of the subtraction was different, but distance is a

positive value, which is why absolute value is used. Because of

this, the distances in both examples are equal.






6) Three friends all live on the same street that runs west to east. Beth lives 4 blocks from Al. Carol lives 2 blocks from Beth. If the street is represented by a number line and Al's house is located at 0, what are the possible locations for Carol's house?


7) At a fair last weekend, Josie sold homemade jewelry. If she sold the jewelry for R dollars and it cost her C dollars to make the jewelry, the formula P = R - C describes her profit P in dollars. If her profit was $39.40 and she sold jewelry for $79.03, how much did it cost her to make the jewelry?


8) Gianna is hanging a birdhouse on her fence, which includes a blue red post. The first birdhouse is 25.2 inches to the right of the blue post. The second birdhouse is 29.2 inches to the left of the first birdhouse. Describe the location of the second birdhouse with respect to the blue post.

lesson 8: word problems with adding & subtracting … 08 word problems with... · lesson 08...

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