1. CHAPTER 4 REVIEW

2. The table shows the cost to mow a lawn for a given number of hours
The table shows the cost to mow a lawn for a given number of hours. Find the rate of change in cost with respect to time.
Time (hours) 2 6 10
Cost ($) 25 75
125

3. HINT: Find the SLOPE!!
Answer:
$12.50 PER HOUR

4. Plot the point (5, -2) and describe its location.

5. Quadrant IV

6. What is the value of the function when x = -7?
f(x) = –2x + 9

7. f(-7) = 23

8. Plot the point (0, -3) and describe its location.

9. y – axis

10. Graph (use any method). SHOW ALL WORK!!
y = -3x

11. y = -3x + 0
Slope: - 3/1
Y-Intercept: (0,0)

12. A) Sketch the graphs of the lines x = -5 and y = -3.
B) Then, state the point at which the two graphs intersect:

13. A) x = -5 and y = -3
B) Point of intersection: (-5, -3)

14. Find the slope of the line that passes through the points: (-3, 7) and (5, -9)

15. m = -2
The slope is negative!

16. Tell whether (4, 9) is a solution of the equation
Tell whether (4, 9) is a solution of the equation. Verify your answer algebraically.
y = -4x – 7

17. No, (4, 9) is NOT a solution!!
Because -23 does not equal 9!!

18. Find the slope of the line that passes through the points: (-2, -4) and (-2, 8)

19. The slope is undefined because it is a vertical line!
m = undefined slope!
The slope is undefined because it is a vertical line!

20. Graph by finding the x- and y- intercept.
4x – 5y = 20

21. x-int: (5, 0) y-int: (0, -4)

22. Tell whether the graphs of the two equations are parallel
Tell whether the graphs of the two equations are parallel. Explain your reasoning.
y = 9x – 2 and 9x + y = 18

23. They are not parallel because when you solve each equation for y, you get:
y = 9x – 2
y = -9x + 18
The two slopes: 9 and -9 are not the exact same, and therefore the two lines are not parallel!

24. Find the value of x such that f(x) = 0.
f(x) = -6x - 12

25. x = -2

26. Graph by finding the x- and y- intercept.
2y – 4x = 12

27. x-int: (-3, 0) y-int: (0, 6)

28. Graph by writing in slope-intercept form
Graph by writing in slope-intercept form. Then, identify the slope and y-intercept.
2y = -5x - 8

29. Solve for y first! Slope:
y – intercept: (0, -4)

30. Graph by writing in slope-intercept form
Graph by writing in slope-intercept form. Then, identify the slope and y-intercept.
2x – 4y = 12

31. Solve for y first! Slope:
y – intercept: (0,– 3)

32. Graph by writing in slope-intercept form
Graph by writing in slope-intercept form. Then, identify the slope and y-intercept.
y = –4

33. y = –4 y = mx + b y = 0x – 4
Slope: 0/1 or 0
y – intercept: (0,– 4)

34. Graph the equation by making a table of values:
y = -3x + 4

35. y = -3x + 4 x y = -3x + 4 (x, y) -2 -3(-2) + 4; 6 + 4; 10 (-2, 10) -1
-3(-1) + 4; 3 + 4; 7
(-1, 7)
-3(0) + 4; 0 + 4; 4
(0, 4) 1
-3(1) + 4; ; 1
(1, 1) 2
-3(2) + 4; ; -2
(2, -2)