Download Systems of Equations – Substitution method

Systems of Equations – Substitution method
Name_______________________
Algebra One HW first day
block________date________________
Solve each system using “substitution”. Write your answer as an ordered pair (x, y) - be sure
you check your solution in each equation!
1) 2x – 3y = 1
x = -3y + 5
3) 2x – y = 9
10x – 5y = 20
5) x – y = 12
2x + 3y = -1
2) 3x + 5y = 9
y = -2x + 6
4) x= -y + 6
7x + 7y = 42
6) 4x – y = -8
x – 3y = 9
PROBLEM SOLVING APPLICATIONS – use separate paper to show the algebra work
1) The sum of two numbers is 28. One number is 5 less than twice the other number. What
are the two numbers.
Write an equation that the “sum”:
Write an equation that models “5 less than twice” relationship:
Solve the system you wrote and answer the question
2) A quilt maker sews both large and small quilts. A large quilt requires 8 yards of fabric while
the small quilt requires 3 yards. How many of each size quilt did she make if she used a total of
90 yards of fabric to make 15 quilts all together?
What are the two unknowns? Name them and give them each a variable.:
Write an equation shows the # of quilts:
Write an equation that shows the amount of fabric used in each quilt:
Solve the system you wrote and answer the question.
3) Selling frozen yogurt at a fair you make a total of $565 and use 250 cones. A single scoop
cone costs $2 and a double scoop costs $2.50. How many of each type did you sell?
What are the two unknowns? Name them and give them each a variable.:
Write an equation shows the # of cones:
Write an equation that shows the money spent in this problem:
Solve the system you wrote and answer the question.