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Presentation on theme: "Systems of Equations Whiteboard Practice **Get whiteboard, sock, & marker.** By PresenterMedia.comPresenterMedia.com."— Presentation transcript:

1 Systems of Equations Whiteboard Practice **Get whiteboard, sock, & marker.** By PresenterMedia.comPresenterMedia.com

2 What type of solution does a system of equations that has intersecting lines when graphed have? Systems of Equations

3 ANSWER: One Solution Systems of Equations

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

5 ANSWER: A System of Equations Systems of Equations

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

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

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

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

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

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

12 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. Systems of Equations

13 ANSWER: Graphing Method Systems of Equations

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

15 ANSWER: (-2, -2) Systems of Equations

16 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. Systems of Equations

17 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. Systems of Equations

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

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

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

21 ANSWER: y = 2x + 8 Systems of Equations

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

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

24 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. Systems of Equations

25 ANSWER: 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. Systems of Equations

26 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. Systems of Equations JobStarting SalaryYearly Increase A$35,000$1000 B$50,000$250

27 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. Systems of Equations

28 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? Systems of Equations

29 ANSWER: Algebraically Systems of Equations

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

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


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