Name:
Linear Equations Print Activity
1.
Determine the total cost for each of the following scenarios by filling in the
following blanks:
a.
b.
c.
d.
e.
cost/kg
= $3/kg
# of kgs
= 20 kg
delivery cost = $5
cost/kg
= $7/kg
# of kgs
= 5 kg
delivery cost = $10
cost/kg
= $2/kg
# of kgs
= 38 kg
delivery cost = $3
cost/kg
= $5/kg
# of kgs
= 10 kg
delivery cost = $8
cost/kg
= $10/kg
# of kgs
= 19 kg
delivery cost = $6
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
TC = (
TC =
TC = $
)(
+
)+(
)
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
TC = (
TC =
TC = $
)(
+
)+(
)
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
TC = (
TC =
TC = $
)(
+
)+(
)
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
TC = (
TC =
TC = $
)(
+
)+(
)
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
TC = (
TC =
TC = $
)(
+
Junior High Math Interactives
2005 Alberta Education (www.LearnAlberta.ca)
Patterns and Relations / Linear Equations / Video Interactive / Print Activity
)+(
Page 1 of 4
)
2.
Food prices change on a daily basis. As a result, the total cost of feeding animals
is often different. Using the Video Interactive, complete 6 different sets of 2
unique linear equations by filling in all the blanks for the Target Total Cost and
the variables:
a.
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
b.
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
c.
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Junior High Math Interactives
2005 Alberta Education (www.LearnAlberta.ca)
Patterns and Relations / Linear Equations / Video Interactive / Print Activity
Page 2 of 4
d.
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
e.
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
f.
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Target Total Cost = $
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
TC = (
TC =
TC = $
)(
+
Equation 2:
)+(
)
TC = (
TC =
TC = $
)(
)+(
)
+
Junior High Math Interactives
2005 Alberta Education (www.LearnAlberta.ca)
Patterns and Relations / Linear Equations / Video Interactive / Print Activity
Page 3 of 4
3.
A total cost of $169.00 was obtained by creating the following 2 equations:
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
Equation 2:
TC = ( 8.00 )  ( 21 ) + ( 1.00 )
TC = 168.00 + 1.00
TC = $169.00
TC = ( 6.00 )  ( 27 ) + ( 7.00 )
TC = 162.00 + 7.00
TC = $169.00
Determine another unique equation that represents a total cost of $169.00 by
filling in the following blanks:
Equation 3:
TC = (
)(
TC =
+
TC = $169.00
4.
)+(
)
A total cost of $235.00 was obtained by creating the following 2 equations:
Total Cost = ( cost/kg )  ( # of kgs ) + ( delivery cost )
Equation 1:
Equation 2:
TC = ( 8.00 )  ( 29 ) + ( 3.00 )
TC = 232.00 + 3.00
TC = $235.00
TC = ( 10.00 )  ( 23 ) + ( 5.00 )
TC = 230.00 + 5.00
TC = $235.00
Determine another unique equation that represents a total cost of $235.00 by
filling in the following blanks:
Equation 3:
TC = (
)(
TC =
+
TC = $235.00
)+(
)
Junior High Math Interactives
2005 Alberta Education (www.LearnAlberta.ca)
Patterns and Relations / Linear Equations / Video Interactive / Print Activity
Page 4 of 4