1. 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt Solving Linear Equations GraphingSystems

2. Translate the following sentence into an equation and solve: A number x subtracted from 36 is three times the sum of four and x.

3. x = 6

4. Solve

5. 5.5

6. The price of jeans was reduced from $75 to $56.25. What was the percent decrease?

7. 25%

8. Solve 2 – 3x < 5(2 – x) ≤ 3(2 – x) + 10

9. -3 ≤ x < 4

10. Two cars leave Maine one at 8:00am and the other at 11:00am the same day. The first car travels at 45 mph and the second at 55 mph. At what time will the second car be 25 miles behind the first car?

11. 10:00pm

12. What is the domain of this relation? {(3, -2), (-3, 4), (3, 4), (-1, 5)}

13. {-3, -1, 3}

14. What is the x- intercept of the line 2x - 3y = 7?

15. 7/2

16. Write the linear equation in standard form:

17. 4x - 6y = -3

18. Write an equation in slope intercept form for a line passing through (2, 0) and (-1, 6).

19. y = -2x+4

20. A rental car company charges $52.99 per day, including 20 free kilometers per day. There is a charge of $0.12/km for additional kilometers. Write a linear equation in slope intercept form to describe the cost of the rental car each day.

21. y = 0.12x + 50.59

22. The slope of a vertical line is ______________.

23. Undefined

24. If g(x) = -2x 2 + 4x + 9, find g(-3).

25. -21

26. Write an equation of the line in slope intercept form.

27. y = - 2x - 4

28. Write the system of inequalities for the graph.

30. Solve 2x – 3y 0

32. A system of equations produces two lines that intersect. The solution of the this system can be described as….

33. One point

34. Solve the system using substitution x = y+3 2x – y = 6

35. Infinitely many solutions

36. Solve the system using elimination 13a+5b=-11 13a+11b=7

37. (-2, 3)

38. Solve the system using elimination 3x + 4y = -25 2x - 3y = 6

39. (-3, -4)

40. At a Phillies game, hot dogs sell for $3.50 and a large soda sells for $4.50. On a hot afternoon, one vendor sold 19 more sodas than hotdogs. If the vendor made $317.50, how many of each item was sold?

41. 29 hot dogs 48 sodas