Name ______________
Date _______________
Solving Systems of Equations 8.EE.8
Unit 5 Worksheet 1 (Accelerated)
Use the substitution method to solve the linear system.
1.
y  x2
2x  y  8
2.
y  x 1
2x  y  0
3.
y  2x  3
3 x  y  2
4.
x  3y  3
y  3 x  1
5.
x  y  3
3x  y  3
6.
x  2y  8
y  4 x  5
7.
y  3 x
x y 4
8.
y  2x  3
y  3x  4
9.
x  2y
y  3 x
10. Your brother and sister took turns driving on a 580 mile trip that took 10 hours. Your
brother drove at an average speed of 55 mph and your sister drove at a average speed of
60 mph. Assign labels to the verbal model below. Write and solve an algebraic equation.
How long did each person drive?
Number of hours
your brother drove
Brother’s
Speed
.
+
Number of hours
your sister drove
Number of hours
your brother drove
+
Sister’s
Speed
=
Total number of
hours driven
.
Number of hours
your sister drove
=
Total number
of miles
11. Randy and Sandy have a total of 20 books between them. After Sandy loses three by
leaving them on the bus, and some birthday gift double Randy’s collection, their total
increases to 30 books. How many did each have before these changes?
12. Cee Lo Green and Christina Agullera are about to record an album together. They have
a choice between two recording studios. Studio A charges $50 flat fee plus $2 per minute.
Studio B charges a $20 flat fee plus $5 per minute. Cee Lo thinks they should go with the
Studio B and Christina thinks they should go with Studio A. For what numbers of minutes
would each studio make sense? Use equations and a graph to justify your response.