1. Systems of Equations. Whiteboard Practice
Systems of Equations Whiteboard Practice **Get whiteboard, sock, & marker.**
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2. Systems of Equations
What type of solution does a system of equations that has intersecting lines when graphed have?

3. Systems of Equations
ANSWER:
One Solution

4. Systems of Equations
What is a set of two or more linear equations containing two or more variables called?

5. Systems of Equations
ANSWER:
A System of Equations

6. What type of solution does the following system have?
Systems of Equations
What type of solution does the following system have?

7. Systems of Equations ANSWER: No solution.
The equations have the same slope but different y-intercepts so the lines are parallel.

8. What is the solution for the system of equations graphed?
Systems of Equations
What is the solution for the system of equations graphed?

9. Systems of Equations
ANSWER:
(-1, -1)

10. Which ordered pair is a solution of the system of equations?
Systems of Equations
Which ordered pair is a solution of the system of equations?
A.) (-1, 2) B.) (-3, 0) C.) (3, 6)

11. Systems of Equations
ANSWER:
A. ) (-1, 2)

12. Systems of Equations
With the ____________ method of solving systems, you have to be careful and check the solution in both equations because it is sometimes difficult to identify the exact solution.

13. Systems of Equations
ANSWER:
Graphing Method

14. What type of solution does the following system have?
Systems of Equations
What type of solution does the following system have?

15. Infinitely Many Solutions.
Systems of Equations
ANSWER:
Infinitely Many Solutions.
Once the equations are rewritten in slope-intercept form, they are the same exact equation.

16. Solve the system of equations using any method you choose.
Systems of Equations
Solve the system of equations using any method you choose.

17. Systems of Equations
ANSWER:
(-2, -2)

18. Systems of Equations
One cell phone company has a $50 activation fee and costs $30 a month. Another company has no activation fee and costs $40 per month. Write a system of equations and find out when the costs will be the same.

19. Systems of Equations ANSWER: y = 30x + 50 x = # months
y = 40 x y = total cost
Solution (5, 200). The cost for both companies will be $200 in 5 months.

20. What is the first step in solving a system of equations algebraically?
Systems of Equations
What is the first step in solving a system of equations algebraically?

21. Rewrite the equations in slope-intercept form
Systems of Equations
ANSWER:
Rewrite the equations in slope-intercept form
(y = mx +b).

22. Rewrite the following equation in slope-intercept form.
Systems of Equations
Rewrite the following equation in slope-intercept form.
4x – 2y = -16

23. Systems of Equations
ANSWER:
y = 2x + 8

24. Systems of Equations
What is the system of equations and the solution that is represented by the graph below?

25. Systems of Equations
ANSWER:
y = -2x – 1
y = x + 5
(-2, 3)

26. Write a system of equations and solve to answer the question.
Systems of Equations
PopcornFlix has a movie rental plan in which a customer pays a membership fee of $20 plus $2 for each movie rented. Non-members pay $3 for each movie rented plus a $5 security deposit. How many movies would a person need to rent to make the membership plan a better deal?
Write a system of equations and solve to answer the question.

27. Systems of Equations ANSWER: (15, 50)
y = 2x + 20
y = 3x + 5
(15, 50)
A person would need to rent 16 movies or more to make the membership plan a better deal.

28. Write a system of equations and solve to answer the question.
Systems of Equations
You have been given two job offers – job A and job B as shown in the table below. After how many years will the salaries be equal?
Write a system of equations and solve to answer the question.
Job
Starting Salary
Yearly Increase A
$35,000
$1000 B
$50,000
$250

29. The salaries will be equal in 20 years and the amount will be $55,000.
Systems of Equations
ANSWER:
y = 1000x + 35,000
y = 250x + 50,000
(20, $55,000)
The salaries will be equal in 20 years and the amount will be $55,000.

30. Systems of Equations
What method for solving systems of equations requires rewriting each equation in slope-intercept form and setting the equations equal to each after taking out the y’s?

31. Systems of Equations
ANSWER:
Algebraically

32. Match the system of equations with its solution.
Systems of Equations
Match the system of equations with its solution.
1.) A. (-2, 1)
2.) B. No Solution
3.) C. Infinitely Many Solutions

33. Systems of Equations
ANSWER:
1 – C
2 – A
3 - B