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# Several Algebra problems

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1. Solve. Then graph
9x>27
Choose the correct solution
a. {x|x|>3} b. {x|x|<3} c. {x|x|&#8804;3} d. {x|x|&#8805;3}

2. Find the indicated outputs for f(x) =4x2 - 4x
F (0) =
F (-1) =
F (2) =

3. Solve by the elimination method.
3x+4y=1
6x+8y=2

4. Solve the following system of equations
x+6y=4 (1)
x=3-6y (2)
What is the solution of the system?

5. Graph on a number line, where x is a real number
-3<x&#8804;2

6. Solve using the multiplication principle. Don't forget to perform a check.
11x= -77
The solution is ___

7. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent.
9x-8y= -40
8y-9x=40
What is the solution of the system of equations?
A. a point
B. no solution
C. infinitely many solutions

Is the system consistent or inconsistent?

Are the equations dependent or independent?

8. Translate to an algebraic expression
The product of 23% and some number

The translation is ___

9. Graph the equation and identify the y-intercept
y+x=8

The y-intercept is ___

10. Solve the indicated letter
d=4e, for e
The solution for e ___

11. Graph the system of inequalities
y>-3
x&#8805;5

12. Solve by the substitution method
4x+7y=14
x=35-7y
What is the solution of the system?

13. Graph the inequalities on a plane
5x+6y&#8804;30

14. The equation y= -1777x+27,153 can be used to predict the number y of gun deaths in The United States x years after 2000, that is,
x=0 corresponds to 2000, x=2 corresponds to 2002, x=4 corresponds to 2004,
And so on. Predict the number of gun death in 2004 and 2008.
In what year will the number of gun death be 11,160?

The predict gun death in 2004 will be ___

The predict gun death in 2008 will be ___

The predicted number of gun deaths will be 11,160 in the year ____

15. Solve. Then graph
y-7>-15

The solution is {y|y>__}

16. Simplify
5[17-(-77+98)] =___

17. Use the intercepts to graph the equation
x+3y=6

18. Determine whether (-2,-6) is a solution of 7x+3y=5
Is (-2,-6) a solution to the equation

19. Amy paid \$73.98 for a pair of running shoes during a
30%-off sale. What was the regular price?

The regular price was \$____

20. Solve using the multiplication principle.
Don't forget to perform a check.
-5/6x= -7/8
The solution is ___.

21. Trains A and B are traveling in the same direction on parallel
tracks. Train A is traveling at 60 miles per hr. and Train B is traveling
at 80 miles per hr. Train A passes a station at 2:20am. If train B
passes the station at 2:35am, at what time will train B catch up
to train A

When will train B catch up with train A?

22. Plot (0-5) on the coordinates axes

7(w-3) =42
w= ___

24. Media Services charges \$30 for a phone and \$20/month
for its economy plan. The equation c=20t+30 describes the
total cost, c of operating a Media Services phone for t months.

The total cost for 10 months of service is \$ ___
If a customer has only \$80 available, how many months of
a. 3 b. 2 1/2 c. 2 1/3 d. 2

25. Use the intercepts to graph the equation
x+4y=8

26. Solve.
5>-4x+4 or 8&#8804;-3x+4
a. [-&#8734;,-4/3] b. [-&#8734;, &#8734;] c. [-1/4,&#8734;] d. [-&#8734;,-4/3] &#8745; [1/4,&#8734;] turn the u right side up.

27. Solve using the addition and multiplication principles
7+7x<14

The solution is {x|x__|__}

28. Graph the line containing the given pair of points and find the slope
(0, 5), (-3,-4)
Find the slope of the line m=___

30. Solve using the multiplication principles
-6x > 1/13

The solution set is {x|x_|_}

31. Solve.
0.5x+2&#8804;1.3x-5
The solution is {x|x|_|_}

32. Solve by the elimination method
7r-6s=9
6r+7s=117
What is the solution___?

33. Find the domain of the function
P(x) =x2-2x +10 (the first x is x-to the second power)

What is the domain of p?
a. {x|x&#8800;10} b. {x|x&#8800;0} c. {x|x is a real number} d. {x|x>0}

34.Find the slope, if it exists, of the line containing the pair of
points
(5, 2) and (8,-5)
The slope m _

35. The width of a rectangle is fixed at 20 cm. What lengths will make
the perimeter greater than 82cm?
The length must be greater than ___cm

36. In 1993, the life expectancy of males in certain was 71.8 years.
In 2000, it was 74.6 years. Let E represent the life expectancy in year
t and let t represent the number of years since 1993.

The linear function E(t) that fits the data is
E(t) = _t +_
Use the function to predict the life expectancy of males in 2005
E (12) =_

37. Multiply
9/7 * [5/7]

38. Solve
-0.2x<-14

The solution is {x|_}

39. Collect
16u+7v-9u+9v= ___

40. The function H described by H(x) = 2.75x+71.48
can be used to predict the height, in centimeters,
of a woman whose humerus(the bone from the elbow
to shoulder) is x cm long.
Predict the height of a woman whose humerus is 38cm long.
The predicted height of a woman whose humerus is 38 cm long is _ cm

41. Find the slope and the y-intercept
f(x)= -6x-3
The slope is ___
The y-intercept is (0, _)

42.25% of what number is 20?

43. Graph the equation using the slope and the
y-intercept.
y=4/3x+2

44. Solve
-25&#8804;3x-8-&#8804;7
The solution {x|_&#8804;x&#8804;_}

45. Graph the equation
y=6

46. On three consecutive passes, a football team gains
10 yards, loses 13 yards, and gains 48 yards.
What number represents the total net yardage?
The total net yardage is ___

47. Find the domain of the function
g(x) = 9/5-7x

a. {x|x&#8805;5/7} b. {x|x&#8800;5/7} c. {x|x&#8800;0} d. {x|x&#8800;9}

48. Soybean meal is 14% protein; cornmeal is 7% protein.
How many pounds of each should be mixed together in order to get 280-lb mixture that is 10% protein?
How many pounds of the cornmeal should be in the mixture? ___ Pounds
How many pounds of the soybeans meal should be in the mixture? ___ pounds

49. Solve
5/2x + 1/4x= 9/4+ x
The solution is x = ___

50. Solve
8x - (5x+7) = 11
The solution is x = ____

51. Use < or > to make the statement true
-4 _ 18

52. Evaluate
r+s/5 for r=27 and s=13

r+s/5= ___

53. Decide whether the pair of lines is parallel,
Perpendicular or neither

2x+3y=2
3x-2y=3

The lines are _____

54. Find the slope, if it exists
x= -7
m =___