Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Pe r f o r m a n c e T a sk

Pl an n i n g an Ex er ci se Pr o g r am

Ashley uses th e rowing m ach in e an d the stair m ach in e at th e gym for an exercise
program. H er train er w ants h e r to do an exercise p rogram th a t m eets th ese two
conditions:

(1) Ashley will exercise for 40 m inutes, dividing h e r tim e b etw een th e stair

m achine an d th e row ing m achine.

(2) Ashley will sp en d twice as m u ch tim e on th e stair m ach in e as on th e rowing

machine.

Miguel also uses th e stair m achine a n d th e rowing m ach in e at th e gym for an
exercise program. His train e r w ants h im on an exercise program th a t m eets these
three conditions:

(1) Miguel will sp en d at m ost 60 m in u tes w orking o ut at th e gym.

(2) Miguel will exercise for at least 30 m inutes, dividing his tim e b etw een the

stair m achine an d th e rowing m achine.

(3) Miguel will sp en d at least twice as m u ch tim e on th e stair m ach in e as on

th e rowing m achine.

Task D escr i p t i o n
Find the n u m b e r of m in u tes Ashley should u se each exercise m achine, a n d the
m axim um n u m b e r of m in u tes Miguel can use the row ing m achine.

Co n n ect i n g t he Task t o t h e M at h Pr act i ces

As you com plete th e task, y o u ’ll apply several S tandards for M athem atical
Practice.

• You’ll analyze given inform ation an d constraints to w rite eq u atio n s th a t m odel
  Ashley’s exercise program. (MP 1, MP 4)


• You'll find inequalities th a t describe how th e am o u n ts of tim e Miguel sp en d s on
  th e two m achines are related. (MP 2)

MATHEMATICAL

PRA CTI CES

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