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Colegio San Patricio
                                         3rd Period Math Review
                                         School Year 2009 – 2010

Name ___________________________________________________List No._________8th_________
Teacher_________________________________________________ Date_______________________


I. Comparing Ratios

1. You need to buy a bottle of catsup. As you look at the bottles on the shelf, you notice that
you can pay $2.70 for an 18 oz. bottle, or you can pay $1.68 for a 12 oz. bottle. Which bottle is
the better buy?




2. In a major city, 8% of the potential work force, which consists of 550,000 people, are
unemployed. How many people are unemployed?




3.) A large university employs 275 work study students. The 150 men that are employed take
home a total of $6,000 per week, and the 125 women earn $5,625 per week. Who, on the
average, makes more, a man or a woman?




4.) If you have 3 dogs out of 10 pets, which is the dog’s ratio?
a) 0.7       b) 0.3             c) 0.75             d) 0.45




II. Central Tendency Measures (Mean, median, mode)

5.) In the following exercises find the mean, median and mode.
  a) 6, 7, 12, 14, 12, 11, 10, 12, 9, 10



 b) 10, 12, 12, 14, 20, 16, 12, 14, 11




 c) 4, 8, 3, 4, 9, 7, 8, 3, 2, 4, 3



III. Numerical Sequences

6.) What is the rule for the next sequence: 3, 5, 7, 9, …?


7.) What is the next number in the following sequence: 1, 4, 7, 10 …?


8.) From the following numerical sequence -2, 3, 8, 13, …, what is the number on the
7th.position?
9.) Being 3n - 5 the rule for a numerical sequence, which is the corresponding number for       n
= -4?


IV. Linear Equations

10.) The Tri-State car rental agency charges a flat fee of $25 plus $0.17 per mile to rent a
subcompact car on weekends. Write a linear model for the cost in terms of the number of
miles driven. How much would you pay if you rented the car for 3 days and you traveled 50
miles each day?




11.) What is the solution for the following equation: 5x - 3x + 15 = x + 16?


12.) What is the solution for the following equation: 2(x - 1) = x + 1?


13.) According to the following chart, which value should be the accumulated one by the
8th.month?

                                             y = b + ax
                                        y = $ 750 + (1) ($50)
                                        y = $ 750 + (2) ($50)
                                        y = $ 750 + (3) ($50)
                                        y=…?

14.) Solve: -2(x + 3) = x + 6




V. Graphing Linear Equations

15.) Use a table to graph the equation:                    16.) Use x and y intercepts to graph the
      2y – 10x = 20                                            equation: 8y + 4x = 24




  x      -2     -1      0       1   2
  y
Slope of a Line:

17.) Find the slope of the line                             18.) Find the slope of the line passing
                                                              through points (9, 2) (-5, -2).




Slope = _____________________________                      Slope = ____________________________


19.) Determine whether the line passing through the points (-9, -4) (6, -1) rises, falls, is horizontal
or vertical line.




20.) Find the slope of the line passing through points (3, -2) (5, 5).

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3rd Period Review 8th Grade

  • 1. Colegio San Patricio 3rd Period Math Review School Year 2009 – 2010 Name ___________________________________________________List No._________8th_________ Teacher_________________________________________________ Date_______________________ I. Comparing Ratios 1. You need to buy a bottle of catsup. As you look at the bottles on the shelf, you notice that you can pay $2.70 for an 18 oz. bottle, or you can pay $1.68 for a 12 oz. bottle. Which bottle is the better buy? 2. In a major city, 8% of the potential work force, which consists of 550,000 people, are unemployed. How many people are unemployed? 3.) A large university employs 275 work study students. The 150 men that are employed take home a total of $6,000 per week, and the 125 women earn $5,625 per week. Who, on the average, makes more, a man or a woman? 4.) If you have 3 dogs out of 10 pets, which is the dog’s ratio? a) 0.7 b) 0.3 c) 0.75 d) 0.45 II. Central Tendency Measures (Mean, median, mode) 5.) In the following exercises find the mean, median and mode. a) 6, 7, 12, 14, 12, 11, 10, 12, 9, 10 b) 10, 12, 12, 14, 20, 16, 12, 14, 11 c) 4, 8, 3, 4, 9, 7, 8, 3, 2, 4, 3 III. Numerical Sequences 6.) What is the rule for the next sequence: 3, 5, 7, 9, …? 7.) What is the next number in the following sequence: 1, 4, 7, 10 …? 8.) From the following numerical sequence -2, 3, 8, 13, …, what is the number on the 7th.position?
  • 2. 9.) Being 3n - 5 the rule for a numerical sequence, which is the corresponding number for n = -4? IV. Linear Equations 10.) The Tri-State car rental agency charges a flat fee of $25 plus $0.17 per mile to rent a subcompact car on weekends. Write a linear model for the cost in terms of the number of miles driven. How much would you pay if you rented the car for 3 days and you traveled 50 miles each day? 11.) What is the solution for the following equation: 5x - 3x + 15 = x + 16? 12.) What is the solution for the following equation: 2(x - 1) = x + 1? 13.) According to the following chart, which value should be the accumulated one by the 8th.month? y = b + ax y = $ 750 + (1) ($50) y = $ 750 + (2) ($50) y = $ 750 + (3) ($50) y=…? 14.) Solve: -2(x + 3) = x + 6 V. Graphing Linear Equations 15.) Use a table to graph the equation: 16.) Use x and y intercepts to graph the 2y – 10x = 20 equation: 8y + 4x = 24 x -2 -1 0 1 2 y
  • 3. Slope of a Line: 17.) Find the slope of the line 18.) Find the slope of the line passing through points (9, 2) (-5, -2). Slope = _____________________________ Slope = ____________________________ 19.) Determine whether the line passing through the points (-9, -4) (6, -1) rises, falls, is horizontal or vertical line. 20.) Find the slope of the line passing through points (3, -2) (5, 5).