Algebra 1 Common Core Student Edition, Grade 8-9

Pull It A l l To g et h er

To solve these
problems
you will pull
together many
concepts and
skills t h a t you
have studied
abou t solving
equations and
working with
rates and
proportions.

Co m p l et i n g t h e Pe r f o r m a n c e Ta sk

Look back at your results from the Apply W hat You’ve L earned sections in Lessons 2-3,

2-6, an d 2-8. Use the w ork you did to com plete th e following.

1. Solve th e problem in th e Task D escription o n page 79 by determ ining th e average
   speed of th e m onorail, in m iles p er hour, over each segm ent of th e route. R ound each
   speed to th e n ea rest te n th of a m ile p er hour. Show all your w ork an d explain each
   step of your solution.


2. Ref lect Choose one of the M athem atical Practices below an d explain how you
   applied it in your w ork on th e P erform ance Task.
   MP 1: Make sense of problem s a n d persevere in solving them.
   MP 2: R eason abstractly a n d quantitatively.
   MP 4: M odel w ith m athem atics.
   MP 6 : A ttend to precision.

On Yo u r Ow n

At a m eeting to discuss p lans for an extension of th e m onorail, th e airport's director

displays th e scale draw ing below.

Monorail Extension

Train station

Terminal C

•-------

Terminal D

■26.5 in .-

Scale: 1 in. = 150 ft

The airport’s director wants to determ ine the speed of the m onorail over each segm ent of

the route in order to m eet the following conditions.

• The trip from the train station to Terminal C should take 45 s.


• The trip from Term inal C to Term inal D should take 70 s.


• The m onorail’s average speed b etw een th e two term inals should b e 25% greater th an
  its average speed b etw e en th e train station a n d Term inal C.
  W hat is th e average speed, in m iles p er hour, th a t th e m onorail should travel over each
  segm ent of th e route? R ound each speed to th e n ea rest te n th of a m ile p er hour.