Download 6.1 solve systems by graphing wkst

6.1 Solve Systems by Graphing
Name _________________________
Learning Objective: A.REI.6
A.REI.10
A.REI.11
A.REI.11
I will solve a system by graphing
I will solve a system of equations by graphing
I will solve a linear system by graphing to find the point of intersection
I will use the graphing calculator to determine the number of solutions in a given system
Is the given ordered pair a solution of the given system?
y  x  2
1. (1, –1) ; 
x  y  0
y  2 x  1
2. (2, 3) ; 

y  3x  4
y  x  1
3. (2, –1) ; 

y  x  3
Use the graph to find the solution of each system of equations.
y  x  8
4. 

y  x  2
y  x  4

5. 
1
y   3 x  4
y  x  8
6. 
y  x  4
y  2x  4
7. 

y  x  2
y  x  8

8. 
1
y   3 x  4
y  x  4
9. 
y  0
Given the line y = 2x + 1.
10. Does (-1, 1) lie on the line?
11. Is (1, 3) on the line?
12. Is (1, 0) on the line?
13. Is (0, 1) on the line?
 7 5
,  , cannot by solved accurately by graphing.
 8 3
14. Explain why a system whose solution is 
15. If two equations in a system have different slopes, how many solutions could the system have?
16. If two equations in a system have the same slope, how many solutions could the system have?
Determine the number of solutions for each system by using the chart in your ISN.
17.
y  6 x  1

y   x  1
18.
y  3x  2

y  3x  7
19.
y  2x  4

y  2x  4
20.
Put into slope-intercept form.
21. 2y = 4x – 6
22. 4x + y = 8
23. 2x – 3y = 9
24. –4x – y = 10
25. –6x + 2y = 12
26. 5 + y = 3x
Answers: 1) yes
3) no
15) 1 solution
23) y =
2
x–3
3
5) (6, 2)
7) (–2, 0)
17) 1 solution
25) y = 3x + 6
9) (4, 0)
11) yes
19) infinitely many solutions
13) yes
21) y = 2x – 3
x  3


y  2