This document provides a math review for 8th grade students covering several topics: 1) Comparing ratios by analyzing bottles of ketchup and unemployment rates. 2) Calculating mean, median, and mode for sets of numbers. 3) Identifying patterns in numerical sequences. 4) Solving linear equations involving flat fees, mileage costs, and accumulated values over time. 5) Graphing linear equations using tables, intercepts, and slope.

1. Colegio San Patricio<br />3rd Period Math Review<br />School Year 2010 – 2011<br />Name ___________________________________________________List No._________8th_________<br />Teacher_________________________________________________ Date_______________________<br />I. Comparing Ratios<br />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?<br />2. In a major city, 8% of the potential work force, which consists of 550,000 people, are unemployed. How many people are unemployed? <br />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? <br />4.) If you have 3 dogs out of 10 pets, which is the dog’s ratio?<br />a) 0.7b) 0.3c) 0.75d) 0.45 <br />II. Central Tendency Measures (Mean, median, mode)<br />5.) In the following exercises find the mean, median and mode. <br />a) 6, 7, 12, 14, 12, 11, 10, 12, 9, 10<br />b) 10, 12, 12, 14, 20, 16, 12, 14, 11<br />c) 4, 8, 3, 4, 9, 7, 8, 3, 2, 4, 3<br />III. Numerical Sequences<br />6.) What is the rule for the next sequence: 3, 5, 7, 9, …?<br />7.) What is the next number in the following sequence: 1, 4, 7, 10 …?<br />8.) From the following numerical sequence -2, 3, 8, 13, …, what is the number on the 7th.position?<br />9.) Being 3n - 5 the rule for a numerical sequence, which is the corresponding number for n = -4?<br />IV. Linear Equations<br />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?<br />11.) What is the solution for the following equation: 5x - 3x + 15 = x + 16?<br />12.) What is the solution for the following equation: 2(x - 1) = x + 1?<br />13.) According to the following chart, which value should be the accumulated one by the 8th.month?<br />y = b + ax y = $ 750 + (1) ($50) y = $ 750 + (2) ($50) y = $ 750 + (3) ($50) y = … ?<br />14.) Solve: -2(x + 3) = x + 6<br />V. Graphing Linear Equations<br />15.) Use a table to graph the equation:16.) Use x and y intercepts to graph the <br /> 2y – 10x = 20 equation: 8y + 4x = 24<br /> <br /> <br />x-2-1012y<br />Slope of a Line:<br />17.) Find the slope of the line 18.) Find the slope of the line passing <br /> through points (9, 2) (-5, -2).<br /> <br />Slope = _____________________________ Slope = ____________________________<br />19.) Determine whether the line passing through the points (-9, -4) (6, -1) rises, falls, is horizontal or vertical line.<br />20.) Find the slope of the line passing through points (3, -2) (5, 5).<br />