Standard 9.0 (Part 1)
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
RQ***
1== Which
graph best represents the solution to this system of inequalities?
![]()

2== What is the solution to this system of equations?
![]()
3== Which ordered pair is the solution to the system of equations below?
x + 3y = 7 and x + 2y = 10
4== Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?
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5= Graph this system of inequalities:
![]()
6= Represent the solution of this system of equations as an ordered pair:
4x + 4y = 0 and 5x + 3y = -4
7= Represent the solution of this system of equations as an ordered pair:
3x - 4y = --19 and 3y = 2x + 14
8= Choose the next step in solving this system of equations:
5x + 2y = 1 and -3x - y = 0

9= Select the graph that represents the solution of this system of equations:

Standard 9.0 (Part 2)
10= Which system of inequalities is represented by the graph?.
(the middle right is shaded)

11= Solve this system of equations:
3x - 2y = 18 and - 4x + 3y = -25
12= Graph
the solution set for: ![]()
13= Solve the system of equations: 3x + 2y = –10 and y = – x – 4
14= Which system has no solution?
y = 2x and 2x + y = 1
y = 2x + 2 and x – 2y = 1
y = –x + 1 and x – 1 =1
4x – 2y = 1 and y = 2x – 7
15=Solve the system of equations: 4x – 4y = –8 and x + 4y = –7
16= Solve
the system of graphically: ![]()
17= Solve the system of equations algebraically.
and ![]()
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18= What system of equations is represented on the graph?

19= What is a possible solution for the graphed system of equations?

20= What is a possible solution for the graphed system of inequalities?
(shading is above both lines)
