Ch3 Review Worksheet. Determine whether each equation is a linear equation. Write yes or no ... Solve each equation by graphing. Verify your answer al...

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Ch3 Review Worksheet Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 1. xy = 6

2. y = 2 – 3x

3. 5x = y – 4

4. y = 2x + 5

5. y = –7 + 6x

6. y = 3𝑥 " + 1

7. y – 4 = 0

8. 5x + 6y = 3x + 2

9. 𝑦 = 1

# "

Graph each equation by making a table. 10. y = 4

11. y = 3x

12. y = x + 4

Graph each equation by using the x– and y-intercepts. 13. x – y = 3

14. 10x = –5y

15. 4x = 2y + 6

Solve each equation by graphing. Verify your answer algebraically. 16. 2x – 5 = –3 + 2x

17. –3x + 2 = 0

18. 3x + 2 = 3x – 1

19. 0 = –2x + 4

20. –3x + 8 = 5 – 3x

21. –x + 1 = 0

22. GIFT CARDS You receive a gift card for trading cards from a local store. The function d = 20 – 1.95c represents the remaining dollars d on the gift card after obtaining c packages of cards. Find the zero of this function. Describe what this value means in this context.

23. AMUSEMENT PARKS The SheiKra roller coaster at Busch Gardens in Tampa, Florida, features a 138-foot vertical drop. What is the slope of the coaster track at this part of the ride? Interpret the meaning of this slope.

24. CENSUS The table shows the population density for the state of Texas in various years. Find the average annual rate of change in the population density from 2000 to 2009. Is the change in population density a linear function? Explain. Population Density Year

People Per Square Mile

1930

22

1960

36

1980

54

2000

79

2009

96

Source: Bureau of the Census, U.S. Dept. of Commerce

25. REAL ESTATE A realtor estimates the median price of an existing single-family home in Cedar Ridge is $221,900. Two years ago, the median price was $195,200. Find the average annual rate of change in median home price in these years.

26. COAL EXPORTS The graph shows the annual coal exports from U.S. mines in millions of short tons. a. What was the rate of change in coal exports between 2001 and 2002?

b. How does the rate of change in coal exports from 2005 to 2006 compare to that of 2001 to 2002?

c. Explain the meaning of the part of the graph with a slope of zero. Source: Energy Information Association

Name the constant of variation for each equation. Then determine the slope of the line that passes through each pair of points. 27.

28.

Graph each equation. 29. y = 3x

%

30. y = – x &

"

31. y = x '

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve. 32. If y = –8 when x = –2, find x when y = 32.

33. If y = 45 when x = 15, find x when y = 15.

34. If y = –4 when x = 2, find y when x = –6.

35. If y = –9 when x = 3, find y when x = –5.

36. If y = 4 when x = 16, find y when x = 6.

37. If y = 12 when x = 18, find x when y = –16.

Write a direct variation equation that relates the variables. Then graph the equation. 38. TRAVEL The total cost C of gasoline is $3.00 times the number of gallons g.

39. SHIPPING The number of delivered toys T is 3 times the total number of crates c.