# The graph of the equation

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1. Complete the table.

y = 3x - 6

x y

-2

0

3

2. Graph the equation.

3. Find the slope of the line that passes through the given points, if possible. (If the slope is undefined, enter UNDEFINED in the answer box.)

4. Determine the slope of the line in the following graph.

The slope is positive. The slope is negative. The slope is zero. The slope is undefined. None of these answers is correct.

5. Use slope-intercept form to write the equation of the line with the following properties.

m = 6, passing through (-3, -4)

y =

6. Write the following equation in slope-intercept form.

Find the slope m and the y-intercept (0, b).

m =

b =

7. Find the values.

f(6) =

f(-6) =

8. Find the following value given that f (x) = 2x + 1. (Simplify the answer as much as possible.)

f (b) - f (1)

9. Solve the system by graphing, if possible. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter DEPENDENT for each answer.)

x =

y =

10. Find the following value of the given function.

f(2) =

11. Solve the system by substitution, if possible. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter DEPENDENT for each answer.)

x =

y =

12. Solve the system by addition, if possible. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter DEPENDENT for each answer.)

x =

y =

13. Solve the inequality. Give the result in set notation. (If you need to use or - , enter INFINITY or -INFINITY, respectively.)

-6 < 2x < 12

{x | < x < }

14. Solve the inequality. Give the result in interval notation. (If you need to use or - , enter INFINITY or -INFINITY, respectively.)

7(x + 6) 6(x + 10) < 4(x - 5)

,

15. Solve the inequality. Give the result in interval notation. (If you need to use or - , enter INFINITY or -INFINITY, respectively.)

6(x - 4) 0 and -9x < 7

,

16. Solve the equation, if possible. (If it is not possible enter NONE.)

x = (smaller value)

x = (larger value)

17. Solve the inequality.

|9 − 5x| ≥ 14

[-1, 23/5] (- , -1) (23/5, ) (-1, 23/5) (- , -1] [23/5, ) [-1, -23/5]

Graph the solution.

18. Perform the operation.

(3z - 5) - (-8z + 2)

19. Find the product.

20. Factor the expression.

21. Solve the following equation. (Enter solutions from smallest to largest. If a solution has a multiplicity of two, enter it in consecutive answer boxes.)

t =

t =

22. Simplify the following expression.

23. Perform the operations and simplify.

÷

24. Perform the following operations and simplify the result if possible.

25. Perform the following operations and simplify the result if possible.

26. Perform the following operations and simplify the result if possible.

27. Simplify the following complex fraction.

28. Simplify the complex fraction.

29. Solve the following equation. (If there is no solution, enter NONE in the answer box. If any real number is a solution, enter ANY in the answer box.)

x =

30. Perform the division. Write the answer without using negative exponents.

31. Perform the division. Write the answer without using negative exponents.

32. Find the square root.

33. a0 = , provided a ≠ .

34. Simplify the expression. Assume that the variable represents a positive number.

35. Simplify and combine like radicals.

36. Perform the multiplication and simplify.

37. Solve the following equation. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)

n =

n =

38. Perform the operations. Write the answer in a + bi form.

39. Write the expression in a + bi form.

40. Use the square root property to solve the following equation. (Enter solutions from smallest to largest.)

u =

u =

41. Use completing the square to solve the following equation. (Enter solutions from smallest to largest. If the solutions are complex, enter them from smallest to largest value of the imaginary part.)

p =

p =

42. Use the quadratic formula to solve the following equation. (Enter solutions from smallest to largest. If the solutions are complex, enter them from smallest to largest value of the imaginary part.)

w =

w =

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The graph of the equation is depicted.

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