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May 25th









May 25th

Math 007 Review for Final Exam

CHAPTER 2

1) Solve - 8 - x = 50

2) Solve

3) Solve - 2.4x = 72

4) Solve 21 = - 5 - 12x

5) Solve 7 - 3x = 8x - 4

6) Solve - 4n + 7 + 6n = 7n - 2 + 4n - 5

7) Solve 6 - 2( 5x - 1) + 4x = 20

8) Solve 10 - 4( 2x + 1) - ( 3x - 4) = - 9x + 4 - 4x

9) Solve

10) Solve

11) Solve

12) Solve for B

13) Solve for v.

14) A number increased by 2 is 5 less than twice the number. Find the number.

15) The formula for the volume of a c one is . Find h if V = 88 in3 and r = 3 in. Leave in terms of
π.

16) The sum of one -half of a number and five-sixths of the same number is 80. Find the number.

17) Solve the inequality , graph the solution on a number line and give the solution in interval notation.
3 - 4( 3a - 1) > 1



18) Solve the inequality and give the solution in interval notation. - 4( 2x + 1) ≤ - 3( x + 2)

19) Solve the inequality and give the solution in interval notation.



20) Solve the inequality and give the solution in interval notation. 0.08x + 0.04( x - 100) > 32

21) Solve the inequality and give the solution in interval notation.



22) This semester Don has scores of 83, 80, 86, and 90 on his exams. What must he average on the last two
exams to have an average of greater than 86 for the semester?

CHAPTER 3

23) Solve

24) What is 36% of 400?

25) 18% of what number is 54?

26) 90 is what percent of 500?

27) If 30 pounds of potatoes will feed 80 people, how many pounds are needed for 220 people?

28) The ratio of children to adults at a movie is 3 to 5. If there are a total of 120 people at the movie, find the
number of children and adults.

29) Mary finds a dress on sale for 40% off the original price. If the original price is $72, what is
a. the discount?
b. the price after the discount?

30) Karen buys a new kitchen table for $760. If the tax rate in her area is 6%, what is the cost after tax is added?

31) The sum of two numbers is 16. If one of the numbers is three times as large as the other, find the two
numbers.

32) If the larger of two consecutive odd numbers is subtracted from twice the smaller, the result is 5. Find
the two numbers.

33) One of two complementary angles is two more than seven times the other. Find the measure of each
angle.

34) The difference of two numbers is 5. One-third of the larger number is 15 less than the smaller number.
Find the numbers.

35) Molly has 27 coins consisting of nickels, dimes, and quarters. The number of dimes is three less than
twice the number of nickels, and the number of quarters is three times the number of nickels. How many of
each coin does she have?

36) A coin collection consists of nickels and quarters. If there are 24 coins in the collection with a total
value of $3.00, how many of each coin are there?

37) The length of a rectangle is 3 inches less than twice the width. The perimeter is 54 inches. Find the
dimensions of the length and width.

38) A bank robber leaves the scene of a crime driving at a rate of 60 mph. A half of an hour later, the police
leave from the same location driving at a rate of 70 mph. How long will it take the police to overtake the
robber?

39) Two hikers started from opposite ends of a 29-mile trail. One hiker walked 1.25 mph slower than
the other hiker, and they met after 4 hours. How fast did each hiker walk?

40) A total of $15,000 is invested in two accounts. One of the accounts earns 12% per year, while the other
earns 10% per year. If the total interest earned in the first year is $1600, how much was invested in each
account?

41) Mary has money invested in two accounts. One account pays 8% annual interest and the other pays 9%
annual interest. She has $400 more in the account that pays 9% than she does in the other account. If the
total interest after a year is $155, how much is invested in each account?

42) How many milliliters of a 4% solution of medication must be added to 7 ml of a 1% solution to obtain a 3%
solution of the medication?

43) How many liters of 100% pure acid should be added to 22 liters of a 30% acid solution to obtain a 45% acid
solution?

44) A brick house is twice as old as the stucco house next door. Ten years ago, the brick house was three times
as old as the stucco house. How old is each house now?

CHAPTER 4


45) Is (3, 1) a solution for 2x - y = 5?

46) Given: Find the x- and y- intercepts and one other point. Graph.

47) Given: y = - 3 Find the x- and y-intercepts and one other point. Graph.

48) Given: 3x - y = 6 Find the x- and y-intercepts and one other point. Graph.

49) Given the following point and slope, find the coordinates of three other points on the line.

50) Given 2x - 3y = 5 Solve for y and determine the slope and y-intercept.

51) Given Determine the slope and y-intercept. Graph.

52) Find the slope of the line determined by the following pairs of points. (5, -3), (-5, -9)

53)
a. What is the slope of a vertical line?
b. What is the slope of a horizontal line?

54) Find the coordinates of two points on the given line, and then use those coordinates to find the slope of the
line. 2x + y = 4

55) Write the equation of a line that passes through the points (0, 3) and (5, -3).

56) Write the equation of a line that passes through the points (-3, 2) and (-3, 5).

57) Write the equation of a line that passes through the points (-1, -5) and (-4, 1).

58) Write the equation of a line with slope of and passes through the point (-1, -5).

59) Write the equation of a line perpendicular to the line and passes through the point (2, 3).

60) A plumber charges $80 plus $40 for each hour of labor. Let n represents the number of hours of labor
and c is the total cost.

a. Write a linear equation modeling the scenario.
b. Find the total bill if labor is 2 hours.
b. If the total bill is $240, for how many hours of labor was the customer charged?
c. Graph the equation with n along the horizontal axis and c along the vertical axis.
d. What does the c-intercept represent?

CHAPTER 5

61) Evaluate when x = -2

62) Simplify completely . Write with your answer with only positive exponents .

63) If we neglect air resistance, the polynomial describes the height of a falling object after falling
from an initial height h0 for t seconds. A cliff is 1720 feet high. If a coin were dropped from the top of the
cliff, how high would the coin be from the ground after 3 seconds?

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