Algebra Standard 9.0

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?

*

 

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  

*

 

 

 

 

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)