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Klein ISD Grade 8 TAKS Short Course Objective 2 8.3(A) compare and contrast proportional and nonproportional relationships; 1. To make a certain shade of orange paint, Calvin must add 20 ounces of yellow paint to every 50 ounces of red paint. If he uses 200 ounces of red paint, which proportion can he use to find x, the number of ounces of yellow paint he should add to get the shade of orange he wants? 20 x 30 x A B 50 200 20 200 C 2. 3. 4. 20 200 x 30 D 50 200 x 20 8.3(B) estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates. 5. Sheila made a scale drawing of a room. The actual room has a width of 16 feet and a length of 24 feet. Her drawing has a length of 3 inches. What is the width, in inches, of the scale drawing of the room? 5. Mr. Johnson is considering renting an office that has 325 square feet of space. The rent is $1,300 per month. A larger office in the same building is available for $2,100 per month at the same rate per square foot as the smaller office. What is the area of the larger office? 7. Bobby saved $32 when he purchased a jacket at a clearance sale. If the sale price was 40% off the regular price, what was the regular price of the jacket? 8. Vanita can read an average of 18 pages during a 30-minute reading period at school. At this rate, approximately how long will it take her to read a 380-page book? The Wright Pen Company sells 3-pen packages for $1.50. Which company sells pens for the same price per pen? A Jones Pen Company 4-pen packages for $2.50 B Cavazos Pen Company 5-pen packages for $3.00 C Smother Pen Company 7-pen packages for $3.50 D Nottingham Pen Company 9-pen packages for $5.00 Mrs. Pardue wants to purchase some apples. She compared prices from several different on-line grocers. Which grocer’s price table is based on a constant unit price? Tim ran 150 meters in 25 seconds, and Evan ran 90 meters in 15 seconds. Based on these A Tim’s average speed was 4 meters per second faster than Evan’s average speed. B Tim’s average speed was 2.4 meters per second faster than Evan’s average speed. C Tim’s average speed was 2 meters per second faster than Evan’s average speed. D Tim’s average speed was equal to Evan’s average speed. Klein ISD Division of Curriculum and Instruction Page 1 of 3 Klein ISD Grade 8 TAKS Short Course Objective 2 8.4(A) generate a different representation given one representation of data, such as a table, graph, equation, or verbal description. 9. 10. 11. The equation c = 0.75t represents c, the total cost of t tickets on a bus. Which table contains values that fit this equation? 12. The graph of the line y = 2x + 3 is drawn on the coordinate grid below. Which line graphed below best represents the table of values for the ordered pair (x, y)? A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company’s workforce to double in size? A 8m + 450m = 900 B 2m + 450 = 900 C 2(8m + 450) = 900 D 8m + 450 = 900 Klein ISD Division of Curriculum and Instruction Which table of ordered pairs contains only points on this line? Page 2 of 3 Klein ISD Grade 8 TAKS Short Course Objective 2 8.5(A) estimate, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations; 13. 8.5(B) use an algebraic expression to find any term in a sequence. 17. In the sequence below, find the expression that can be used to find the value of the term in the nth position? 18. The expression shown below describes a pattern of numbers. n(n − 1) + 4. If n represents a number’s position in the sequence, which pattern of numbers does the expression describe? The table below shows land-speed records. Whose land-speed record did Green exceed by exactly 368.84 miles per hour? 14. 15. Mr. Flores ran a 26.1-mile marathon last year. He completed the race in 5 hours 6 minutes. This year Mr. Flores would like to run the same marathon in 4.5 hours. How many miles per hour should Mr. Flores run to complete the marathon in 4.5 hours? [D = rt] A baseball card was worth $3 when it was issued in 1996. The table shows the value of the card each year since 1996. 19. Based on the information in the table, what is a reasonable prediction for the value of the baseball card in 2004? 16. A Between $5 and $6 B Between $6 and $7 C Between $7 and $8 D Between $8 and $9 Mr. Park’s total monthly charge for local and long-distance telephone service, c, can be found using the equation c = 20 + 0.07m, where m represents the number of minutes of long-distance calls Mr. Park made during that month. Find the total charge for a month during which Mr. Park made 100 minutes of long-distance calls. Klein ISD Division of Curriculum and Instruction 20. A 4, 6, 8, 10, 12, . . . B 1, 4, 6, 10, 16, . . . C 4, 6, 10, 16, 24, . . . D 4, 10, 18, 28, 40, . . . Which expression can be used to find the nth term in the following arithmetic sequence, where n represents a number’s position in the sequence? A n+4 B 3n + 4 C 5n D 4n + 1 Let n represent the position of a number in the following arithmetic sequence. 1 3 , 1, , 2, … 2 2 Which expression can be used to find any term in the sequence? A 2n B 1 n 2 C 3 n 2 D 5 n 2 Page 3 of 3