Name __________________________date_____________ period____________
Determining Importance
The sum of the ages of Elmira, Geoff and Rae is 82. If Elmira adds 6 to Geoff’s age, subtracts 8
from Rae’s age, or doubles her own age, it will equal Doug’s age. How old is Doug?
Big Idea: ________________________________________________
Text Evidence
Additional work space:
Claim:
Work Space
Name __________________________date_____________ period____________
Determining Importance
The Fitness Center has 5 more than 3 times as many exercise bicycles as Workout Express.
Together they have 21 bicycles. Create an equation. Then solve to find the number of bicycles
at The Fitness Center.
Big Idea: ________________________________________________
Text Evidence
Additional work space:
Claim:
Work Space
Name __________________________date_____________ period____________
Determining Importance
The sum of the ages of Elmira, Geoff and Rae is 82. If Elmira adds 6 to Geoff’s age, subtracts 8
from Rae’s age, or doubles her own age, it will equal Doug’s age. How old is Doug?
Big Idea: This is an algebra problem to find Doug’s age.
Text Evidence
Elmira + Geoff + Rae =
82
Work Space
E+ G + R = 82
G+6=D
-6 = - 6
Geoff + 6 = Doug’s age
G+6= D
G
=D-6
R–8= D
+8 = + 8
Rae is 8 years older than
Doug.
Solve for G
R–8= D
R
Solve for R
=D+8
2E = D
2 =2
If Elmira doubles her age
she will be as old as
Doug.
2E = D
Additional work space:
E=
E+ G + R = 82 Substitute.
𝐷
2
Claim: Doug is 32 years old.
+ (D –
6) + (D + 8) = 82
𝐷
2
Solve for E
Name __________________________date_____________ period____________
Determining Importance
The Fitness Center has 5 more than 3 times as many exercise bicycles as Workout Express.
Together they have 21 bicycles. Create an equation. Then solve to find the number of bicycles
at The Fitness Center.
Big Idea: This is an algebra problem to find the number of bicycles at the Fitness Center
Text Evidence
Work Space
Fitness Center has 5 more than 3
times as many as Workout Express
3x + 5
Workout Express must be x
x
Together they have 21 bicycles
(3x + 5) + x = 21
This box is not needed
This box is not needed
Additional work space: (3x + 5) + x = 21
4x + 5 = 21
4x + 5 – 5 = 21 – 5
4x = 16 divide each side by 4
X = 4 (Workout Express)
Claim: The Fitness Center has 17 bicycles.
Fitness Center has:
3x + 5
3(4) + 5 = 17 bicycles