**Objective 1:The student will demonstrate an understanding of**numbers, operations, andquantitative reasoning.**(8.1) Number, operation, and quantitative reasoning. The**student understands that different forms of numbers are appropriate for different situations. The student is expected to(A) compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals;**Several stores are having sales. The prices are reduced by**62.5%, ⅔, 75%, ½, and 7/10. Which list shows the price reductions from greatest to least? A 75%, 62.5%, ½, ⅔, 7/10 B 75%, 7/10,⅔, 62.5%, ½ C 75%, 7/10, 62.5%, ½, ⅔ D 75%, 7/10, 62.5%, ⅔, ½ Correct Answer - B Spring 2006 #31**Which fraction is between ⅔ and ¾?**A ½ B 3/5 C 5/7 D⅞ Correct Answer - C Spring 2004 #25**A librarian arranged some books on the shelf using the Dewey**decimal system. Choose the group of book numbers that is listed in order from least to greatest. F 549.010, 549.101, 549.02, 549.3 G 392.4, 397.46, 399.53, 399.062 H 101.2, 101.04, 104.21, 110.0 J 834, 834.19, 834.2, 834.29 Correct Answer - J Spring 2003 #42**(8.1) Number, operation, and quantitative reasoning. The**student understands that different forms of numbers are appropriate for different situations. The student is expected to(B) select and use appropriate forms of rational numbers to solve real-life problems, including those involving proportional relationships;**The Texas state flag is rectangular and has a**width-to-length ratio of 2:3. Which of the following can be used to find l, the length of a Texas flag with a width of 28 inches? A 2 + 28 = 3 + l B C D 2 ∙ 28 = 3 ∙ l Correct Answer - C Spring 2006 #27**Carlos, Jackie, Lester, and Margie ate lunch at a**restaurant. The total amount of the bill, including tax and tip, was $44.60. Carlos paid $15.00, Jackie paid ¼ of the bill, Lester paid 20% of the bill, and Margie paid the rest of the bill. Who paid the greatest part of the bill? F Carlos G Jackie H Lester J Margie Correct Answer - F Spring 2004 #40**A bag of mixed Yummy Gummies contains 26% green, 34% red,**24% blue, and 16% yellow gummies. Carla put 250 mixed gummies in a bowl. Which proportion can be used to find y, the total number of yellow gummies in the bowl? Correct Answer - G Spring 2003 #2**An electronic device counted 3,962 vehicles passing through**an intersection during a 7-hour period. If the number of vehicles passing through this intersection per hour remains the same, which proportion can be used to find x, the number of vehicles that would be counted by the device during a 9-hour period? Correct Answer - B Spring 2003 #45**(8.1) Number, operation, and quantitative reasoning. The**student understands that different forms of numbers are appropriate for different situations. The student is expected to(C) approximate mentally [and with calculators] the value of irrational numbers as they arise from problem situations (π, √2 );**The area of a square is 83 square meters. Which of these is**closest to the length of each side of the square? F 9.1 m G 9 m H 8.9 m J 8 m Correct Answer - F Spring 2006 #18**Mr. Harrington wrote four irrational numbers on the board**and asked Jared to choose the number closest to 3. Which irrational number should Jared choose? F√6 G√10 H√12 J√14 Correct Answer - G Spring 2004 #42**The area of a square is 125 square meters. Which best**represents the length of a side of the square? F 10.8 m G 11.2 m H 11.9 m J 12 m Correct Answer - G Spring 2003 #30**(8.1) Number, operation, and quantitative reasoning. The**student understands that different forms of numbers are appropriate for different situations. The student is expected to(D) express numbers in scientific notation, including negative exponents, in appropriate problem situations [using a calculator].**Mr. Loya stated that the circumference of Earth at the**equator is 24,902.4 miles. Which expression represents this number in scientific notation? A 2.49024 × 104 B 24.9024 × 104 C 249.024 × 104 D 2.49024 × 105 Correct Answer - A Spring 2006 #13**The diameter of a blood cell is measured in micrometers. A**micrometer is 0.000001 meter. Which expression represents this number in scientific notation? A 1.0 x 107 B 1.0 x 106 C 1.0 x 10-6 D 1.0 x 10-7 Correct Answer - C Spring 2004 #3**The sun’s core temperature reaches close to 2.7 x 107**degrees Fahrenheit. Which of the following represents this temperature in standard notation? A 270,000°F B 2,700,000°F C 27,000,000°F D 270,000,000°F Correct Answer - C Spring 2004 #43**A certain bacterium measures approximately 0.000015**millimeter in length. How is this length expressed in scientific notation? F 1.5 x 10-5 mm G 1.5 x 10-4 mm H 0.15 x 105 mm J 15 x 104 mm Correct Answer - F Spring 2003 #46**(8.2) Number, operation, and quantitative reasoning. The**student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to(A) select and use appropriate operations to solve problems and justify the selections;**A water tank contains 2,500 gallons. A faucet attached to**the tank releases water at a constant rate of 5 gallons per minute. If the faucet is left open for 1 hour and no other water is released, which equation can be used to find r, the number of gallons of water remaining in the tank? Fr = 2,500 ÷ 5 Gr = 2,500 - 60 Hr = 2,500 – 60(5) Jr = 2,500 ÷ 60(5) Correct AnswerH Spring 2006 #16**To cover his bulletin board, Mr. Adams needs 1½ yards of**fabric and 6¼ yards of trim. If the fabric costs $2.79 per yard and the trim costs $1.19 per yard, which equation can be used to find c, the total cost of covering the bulletin board? Ac = (2.79 + 1.5) + (1.19 + 6.25) Bc = (2.79 ∙ 1.5) + (1.19 ∙ 6.25) Cc = (2.79 + 1.5) – (1.19 + 6.25) Dc = (2.79 ∙ 1.5) – (1.19 ∙ 6.25) Correct Answer - B Spring 2006 #47**The Webster Junior High faculty includes 37 teachers. The**principal’s and teachers’ annual salaries total $1,266,140. If the principal’s salary is $54,250, which equation can be used to find s, the average salary for a teacher at Webster Junior High? Correct AnswerJ Spring 2004 #6**Jasmine has an average of 95 on 15 quiz grades. If her**teacher drops Jasmine’s lowest grade, a 72, which equation can be used to find n, Jasmine’s new quiz average? Correct Answer B Spring 2003 #9**(8.2) Number, operation, and quantitative reasoning. The**student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to(B) add, subtract, multiply, and divide rational numbers in problem situations;**A recipe for 12 waffles calls for 1½ cups of milk, 2¼ cups**of flour, and 1⅓ cups of other ingredients. How many cups of milk, flour, and other ingredients are needed to make 36 waffles? A 20⅓ cups B 15¼ cups C 12¼ cups D 5 1/12 cups Correct Answer - B April 2006 #11**On Friday the low temperature in Nome, Alaska, was -12°F,**and the high temperature was 23°F. How much warmer was the high temperature than the low temperature? A -35°F B -11°F C 11°F D 35°F Correct Answer - D Spring 2004 #35**A gift basket contains 6⅔ ounces of chocolate candy, 4½**ounces of hard candy, and 4 ounces of dried fruit. What is the total weight of the contents of the gift basket? A 11 1/6 oz B 14½ oz C 14 3/5 oz D 15 1/6 oz Correct Answer - D Spring 2004 #47**Three roommates agreed to split the cost of food and rent**evenly. Last month they spent a total of $349.66 for food and $365 for rent. Find the amount that each of the 3 roommates paid. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Correct Answer – 238.22 Spring 2003 #21**A jeweler bought 2 meters of silver chain. She used 20**centimeters to make a bracelet and 60 centimeters to make a necklace. How many meters of silver chain did she have left? F 1,200 m G 120 m H 1.2 m J 0.12 m Correct Answer - H Spring 2003 #24**(8.2) Number, operation, and quantitative reasoning. The**student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to(C) evaluate a solution for reasonableness;**Sean is planning a trip of 1,450 miles. He plans to drive**between 250 and 300 miles each day. At this rate, which is a reasonable number of days it will take Sean to complete his trip? F Less than 4 days G Between 4 and 6 days H Between 6 and 8 days J More than 8 days Correct Answer - G Spring 2006 #20**Anthony helps his father with his lawn-mowing service. His**father charges from $25.00 to $50.00 per lawn depending on the size of the lawn to be mowed. Last Saturday, Anthony and his father spent 6½ hours mowing 3 lawns. If Anthony’s father actually charged $25.00 for the smallest lawn and $50.00 for the largest lawn, about how much could Anthony’s father have charged for all 3 lawns? Correct Answer C A $75 B $95 C $110 D $150 Spring 2006 #43**Cody’s parents bought a big-screen television for**$1,099.99 and a DVD player for $99.99 including tax. Cody’s parents plan to pay the total amount in 18 equal monthly payments. What is a reasonable amount for each monthly payment? F $50.00 G $150.00 H $113.00 J $67.00 Correct Answer - J Spring 2004 #16**Ms. Gonzalez’s monthly electricity bills for March through**June were $97.09, $103.96, $114.73, and $121.82. She estimated that the electricity cost a total of $400.00 over these 4 months. Which best describes her estimate? A Less than actual amount because she rounded to nearest $100 B Less than actual amount because she rounded to nearest $10 C More than actual amount because she rounded to nearest $100 D More than actual amount because she rounded to nearest $10 Correct Answer - A Spring 2003 #11**Rae’s recipe for lemon-lime punch calls for the following**ingredients: 1 quart apple juice2¾ cups of lemon-lime soda64 ounces of pineapple juice2 quarts of cold water¼ cup of lemon juice What is the smallest container that will hold all the ingredients? Correct Answer H F A 4-quart container G A 5-quart container H A 6-quart container J A 7-quart container Spring 2003 #26**(8.2) Number, operation, and quantitative reasoning. The**student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to(D) use multiplication by a constant factor (unit rate) to represent proportional relationships; for example, the arm span of a gibbon is about 1.4 times its height, a = 1.4h.**Which equation can be used to find m, the number of minutes**in h hours? Fm = 60 – h Gm = h + 60 Hm = h÷ 60 Jm = 60h Correct Answer - J Spring 2006 #40**The Childress family went on a camping trip. They paid**$28.00 for a 2-night stay at a campground that allows a maximum stay of 30 nights. Which equation can they use to find c, the cost of camping at this campground for the maximum number of nights? Ac = 60 ∙ 56 Bc = 30 ∙ 28 Cc = 28 ∙28 Dc = 30 ∙ 14 Correct Answer D Spring 2004 #37**Objective 2:The student will demonstrate an understanding of**patterns, relationships, and algebraic reasoning.**(8.3) Patterns, relationships, and algebraic thinking. The**student identifies proportional relationships in problem situations and solves problems. The student is expected to(A) compare and contrast proportional and non-proportional relationships;**A store sells potatoes in 5-pound bags for $2.29. Which of**the following bags of potatoes would be the same price per pound? A A 20-pound bag for $8.80 B A 2-pounds bag for $1.02 C A 10-pound bag for $4.58 D A 7-pound bag for $3.01 Correct Answer - C April 2006 #49**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? Correct Answer - A April 2004 #23**The Wright Pen Company sells 3-pen packages for $1.50.**Which company sells pens for the same price per pen? F Jones Pen Company 4-pen packages for $2.50 G Cavazos Pen Company 5-pen packages for $3.00 H Smother Pen Company 7-pen packages for $3.50 J Nottingham Pen Company 9-pen packages for $5.00 Correct Answer - H April 2004 #48**Tim ran 150 meters in 25 seconds, and Evan ran 90 meters in**15 seconds. Based on these rates, which statement is true? F Tim’s average speed was 4 meters per second faster than Evan’s average speed. G Tim’s average speed was 2.4 meters per second faster than Evan’s average speed. H Tim’s average speed was 2 meters per second faster than Evan’s average speed. J Tim’s average speed was equal to Evan’s average speed. Correct Answer - J Spring 2003 #32**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? Correct Answer - B Spring 2003 #49**(8.3) Patterns, relationships, and algebraic thinking. The**student identifies proportional relationships in problem situations and solves problems. The student is expected to(B) estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates.**Mrs. Guzman bought 3 table lamps for $129.90. If each lamp**cost $40.00 before tax was added, what tax rate did she pay on the 3 lamps? F 7.5% G 43.3% H 30.79% J 8.25% Correct Answer - J April 2006 #14**Mai earns a salary of $200 per week plus an additional 5%**commission on her sales. If Mai’s weekly salary increases by $25 and her commission increases to 6%, how much will she earn if her weekly sales are $2,500? F $325.00 G $375.00 H $525.00 J $700.00 Correct Answer - G April 2006 #28