Name: _________________________________ Date: ____________ Skills A: Solving Systems of Equations by Substitution
Solve the following problems by substitution.
1.
Patti’s Pizza Palace charges $15 for a large pizza plus $1.25 for each additional topping.
Paul’s Pizza Parlor charges $18 for a large pizza and each additional topping costs
$0.75. For how many additional toppings will the cost be the same? What is that cost?
2.
Daryl wants to choose a new company for lawn care service. Merry Mulchers charges a
$37 fee for fertilizer each year plus a monthly fee of $27. Lucky Lawns charges a
monthly fee of $24 plus a $49 fee for fertilizer each year. After how many months will
the charge be the same for both services?
3.
y  3x  8
4.
y  4x  5
5.
7.
c  d 1
4c  d  6
6.
1
1
x y 5
3
2
1
x  y  10
4
8.
Accelerated Intervention, Algebra 1
y  3x  2
5x  y  20
3g  h  11
g  5h  1
y  0.5x  8
x  2y  8
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Name: _________________________________ Date: ____________ Skill B: Solving Systems of Equations by Graphing
Solve each system of equations by graphing.
1.
y  x4
y  2x  1
2.
2x  y  6
y  7x  3
3.
x  3y  15
2x  2y  2
Accelerated Intervention, Algebra 1
© Region 4 Education Service Center
All rights reserved.
Name: _________________________________ Date: ____________ Determine the solution to each system of equations shown below.
4.
5.
6.
Accelerated Intervention, Algebra 1
© Region 4 Education Service Center
All rights reserved.