2Objective 6The student will demonstrate an understanding of geometric relationships and spatial reasoning.
38.6BThe student is expected to graph dilations, reflections, and translations.
4Triangle XYZ is translated so that X is 8.6BTriangle XYZ is translated so that X ismapped to X′. Which coordinate pair best represents Y′?A. (−3, −8)B. (2, −7)C. (2, −6)D. (2, −2)Answer: CL1
5ΔLMN has vertices L (a, b), M (r, s), and N (u, v). What will be the new coordinates ofpoint M if the triangle is translated 7 units tothe right and 3 units down?A. (r + 3, s − 7)B. (r + 7, s − 3)C. (r − 7, s + 3)D. (r − 3, s + 7)Answer: BL1
68.7DThe student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.
78.7DJake made a map of his neighborhood for a school project. He placed a grid over the map. Which coordinate point best represents the post office?A. (6, 12)B. (12, 6)C. (1.2, 0.6)D. (0.6, 1.2)Answer: DL1
88.7DPoints K and L are shown on the grid below. If point K is the midpoint of JL, what are the coordinates of endpoint J?A. (6, −5)B. (−6, 7)C. (0, 1)D. (−4, 5)Answer: BL1
98.7D A. Point K B. Point M C. Point R D. Point U Which point on the grid below best represents the coordinates (8/3 , 7/3)?A. Point KB. Point MC. Point RD. Point UAnswer: AL3
11Objective 7The student will demonstrate an understanding of two- and three- dimensional representations of geometric relationships and shapes.
128.7BThe student is expected to use geometric concepts and properties to solve problems in fields such as art and architecture.
138.7B**Open Response**A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?Answer:L3
148.7BA 12- by 16-foot rectangular floor will be covered by square tiles that measure 2 feet on each side. If the tiles are not cut, how many of them will be needed to cover the floor?A C. 48B D. 14Answer: CL3
15An artist made a drawing of a house with a 8.7BAn artist made a drawing of a house with atree next to it. The drawing is 1/18 the size ofthe actual house and tree. The tallest point ofthe house is 12 feet 8 inches, and the tree is27 feet tall. How many inches tall is the treein the drawing?A in. C in.B. 18 in. D in.Answer: BL3
168.7BMs. Hill wants to carpet her rectangular living room, which measures 14 feet by 11 feet. If the carpet she wants to purchase costs $1.50 per square foot, including tax, how much will it cost to carpet her living room?A. $50 C. $154B. $75 D. $231Answer: DL3
17Olga plans to take a trip from her house in 8.7BOlga plans to take a trip from her house inSan Marcos, Texas, to a friend’s house inZapata, Texas. She measured the distancebetween the two places on a map and foundit to be 8 inches. If the scale on the map isinch represents 14 miles, which is closestto the actual distance in miles between thetwo places?A mi C. 56 miB mi D. 44 miAnswer: BL3
18The student will formulate and use linear equations. Objective 4The student will formulate and use linear equations.
19A.7AThe student is expected to analyze situations involving linear functions and formulate linear equations or inequalities to solve problems.
20A.7AThe number of hours Abe practices golf each week, g, is 2 more than the number of hours he runs, r. Which equation represents the number of hours he runs each week?A. r = g − 2B. g = r − 2C. g = 2rD. r = g + 2Answer: AL3
21A.7APassengers on many commercial flights may make calls from a telephone provided by the airline. On a certain airline a call costs $3 to connect plus $2 for each minute. Which equation best represents c, the total cost for a call that lasts m minutes?A. m = 3 + 2cB. c = 3 + 2mC. m = 2 + 3cD. c = 2 + 3mAnswer: BL3
22A.8AThe student is expected to analyze situations and formulate systems of linear equations in two unknowns to solve problems.
23A.8AThe perimeter of a rectangular wooden deck is 90 feet. The deck’s length, L is 5 feet less than 4 times the width, W. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?A. 2L + 2W = 90 C. 2L + 2W = 90L = 5 – 4W L = 4 – 5WB. 2L + 2W = D. 2L + 2W = 90L = 5W – L = 4W – 5Answer: DL3
24A.8AThe Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. Which system of equations could be used to find the number of sundaes, s, and banana splits, b, that the shop sold that day?A. 2s + 3b = C. 2s + 3b = 8s = b s = b + 156B. 2b + 3s = D. 2s + 3b = 156s + b = b − s = 8Answer: AL3
25Objective 5The student will demonstrate an understanding of quadratic and other nonlinear functions.
26A.11AThe student is expected to use patterns to generate the laws of exponents and applies them in problem-solving situations.
27A.11AWhich expression best represents the area in square units of the rectangle that has a width of 4x³y² and a length of 3x2y3?A. 12x6y6B. 12x5y5C. 7x6y6D. 7x5y5Answer: BL1
28Which expression is equivalent to (8x3)(2x5) 4x6 A. 4x9 B. 4x2 C. 2x8 A.11AWhich expression is equivalent to(8x3)(2x5)4x6A. 4x9B. 4x2C. 2x8D. 2x4Answer: BL1
29Objective 9The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.
308.13BThe student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.
318.13BThe chart shows the amount of farmland in six western states. Which of the following statements is supported by the chart’s information?Texas has more farmlandthan the other states combined.B. Montana has twice as muchfarmland as Wyoming has.C. The range of farmland acreagein all states is 95.9 mil.D. The median number of farmlandacreage of all states is mil.State# of Acres(Millions)Arizona35.0Colorado34.0Montana59.6New Mexico46.8Texas130.9Wyoming32.9Answer: DL3
328.13B A. Only 15 students have no future educational plans. The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true?A. Only 15 students have no future educational plans.B. More students plan to attend a community college or technical school than plan to attend a university.C. Fewer than half of the students plan to attend a univ.D. Fewer than one-fourth of the students plan to attend a community college.Answer: CL3
33Objective 5The student will demonstrate an understanding of quadratic and other nonlinear functions.
34A.11AThe student is expected to use patterns to generate the laws of exponents and applies them in problem-solving situations.
35A.11AWhich expression represents the area of a rectangle with sides measuring 2x2y4z units and 5xy4z3 units?A. 7x²y8zB. 7x3y8z4C. 10x3y8z4D. 10x2y8z3Answer: CL1
36What is the simplified form of a4b2c ? a3b5c2 A. ab³c² B. _a_ b³c³ D. _a_b³cAnswer: DL1
37Objective 8The student will demonstrate an understanding of the concepts and uses of measurement and similarity.
388.9AThe student is expected to use the Pythagorean Theorem to solve real life problems.
39Mr. Carpenter built a wooden gate, as shown below. Which is closest to the length in feet of the diagonal board that Mr. Carpenter used to brace the wooden gate?A ftB ftC ftD ftAnswer: BL1
408.9AIn a town, there is a small garden shaped like a triangle, as shown below. The side of the garden that faces Sixth Street is 80 feet in length. The side of the garden that faces Third Avenue is 30 feet in length. What is the approximate length of the side of the garden that faces Elm Street?A. 35 ftB. 40 ftC. 85 ftD ftAnswer: CL3
41Objective 8The student will demonstrate an understanding of the concepts and uses of measurement and similarity.
428.8AThe student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models).
438.8AThe net of a cylinder is shown below. After measuring the radius to 5/8 in. and the height to be 2 1/8 in., which is closest to the total surface area of this cylinder?A. 4 in.2B. 11 in.2C. 14 in.2D. 25 in.2Answer: BL1
448.8AThe net of the cube is shown below. The measure of the dimensions of the cube to the nearest ¼ of an inch is 1 ¼ inch. Find the total surface area to the nearest square inch.A. 2 in.2B. 9 in.2C. 14 in.2D. 18 in.2Answer: BL1
458.9BThe student is expected to use proportional relationships in similar two-dimensional figures or similar three dimensional shapes to find missing measurements.
46Kate has 2 similar triangular pieces of paper, 8.9BKate has 2 similar triangular pieces of paper,as shown below. Using the dimensions given, find the approximate length of the side labeled p.A centimetersB centimetersC centimetersD centimetersAnswer: BL1
47If ΔTSR is similar to ΔTNM, what is the length of x? A. 240 units 8.9BIf ΔTSR is similar to ΔTNM, what is thelength of x?A unitsB unitsC unitsD. 70 units?Answer: BL1
48Objective 9The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.
498.11BThe student is expected to use theoretical probabilities and experimental results to make predictions and decisions.
508.11BA spinner was spun 20 times. The results are shown in the table below. Which color on the spinner has the same experimental probability as theoretical probability?A. RedB. WhiteC. BlueD. YellowAnswer:L1
518.12AThe student is expected to select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation.
52Ms. Díaz asked each of her 27 statistics 8.12BMs. Díaz asked each of her 27 statisticsstudents to write down an integer from 1 to 10. To determine the most common number the students picked, which measure of central tendency should Ms. Díaz use?A. Mode C. MedianB. Mean D. RangeAnswer: AL1
53Objective 10The student will demonstrate an understanding of the mathematical processes and tools used in problem solving.
548.14AThe student is expected to identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.
55waves in the Norwegian Sea increased by A newspaper reported that the mean height ofwaves in the Norwegian Sea increased by4 inches per year from 1955 to Whatadditional information is needed to calculatethe mean wave height in 1994?A. The mean height of waves in 1955.B. The range of wave heights from 1955 to 1994.C. The projection of the mean height of waves for the next year.D. The distance from land to where the wave measurements were taken.Answer: AL4
568.14AMr. McGregor wanted to cover his living room floor with carpet that cost $12 per square yard. The blueprint shows the area of the living room relative to the area of the house. What information must be provided in order to find the total cost of the carpet?The lengths and widths of theadjoining rooms in the blueprint.The scale of yards to inchesin the blueprint.C. The total area of the house inthe blueprint.The thickness of the carpetingin inches.Answer: BL4
57A. The total number of students in the astronomy club. The astronomy club rented a bus to visit the planetarium. The club rented the bus at a rate of $24.95 per day plus $0.45 per mile driven over 50 miles. If the astronomy club rented the bus for 1 day, what additional information is needed to determine the total cost of renting the bus?A. The total number of students in theastronomy club.B. The number of hours the bus was driveneach day.C. The number of days the bus was rented.D. The total number of miles the bus wasdriven.Answer: DL4
58A. The percent markdown for the shirts. Narong’s family bought 3 shirts, 2 pairs of jeans, and 2 pairs of shoes. Each shirt cost $18, and each pair of shoes cost $35. The jeans were marked down from their original price of $40. What other information, if any, is needed to find the total cost of the 7 items before tax?A. The percent markdown for the shirts.B. The original price of the jeans.C. The percent markdown for the jeans.D. No additional information is needed.Answer: CL4
59Objective 9The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.
608.12CThe student is expected to select and use an appropriate representation for presenting and displaying relationships among collected data including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams.
61Which histogram best reflects the data shown in the table? Answer: CL1
628.12CStudents in algebra class took their first test. Of 40 students taking the test, 12 received an A, 16 received a B, 8 received a C, 2 received a D, and the remaining received an F. Which circle graph best represents these data?Answer: HL1
638.11BThe table below shows the number of student absences for the school year in Mr. Cruz’s math classes. Which of the following graphs best represents the data shown in the table?A B.C.Answer:CL1
648.13BThe student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.
658.13BThe graph below shows the amount of time Dennis spent studying over a 2-week period in October. Which of the following statements would be an invalid conclusion for these data?A. Dennis spent a total of660 minutes studying.B. Dennis studied for an averageof about 47 minutes per day.C. Dennis studied for an averageof 330 minutes per week.D. Dennis earned good gradesduring this 2-week period.Answer: DL3
668.12B100 elementary students were surveyed to see which activity they preferred. Which of the following statements is supported by these data?Close to half the studentssurveyed preferred either themoon walk or the dunking booth.B. More than 25% of the studentssurveyed preferred the pony rideor the pie toss.C. The ratio of students whopreferred musical chairs to thepie toss was 1:3.D. More students preferred musicalchairs than preferred all the otheractivities combined.Answer: AL3
67Objective 10The student will demonstrate an understanding of the mathematical processes and tools used in problem solving.
688.14BThe student is expected to use a problem solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.
698.14BA block of ice is melting at an average of ½ of its weight each hour. After 5 hours the block weighed 1 pound. How much did the block weigh originally?A. 5 lb C. 16 lbB. 10 lb D. 32 lbAnswer: DL4
70Objective 8The student will demonstrate an understanding of the concepts and uses of measurement and similarity.
718.8AThe student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two dimensional models).
728.8AThe net of a cube is shown below. The measure of the dimensions of the cube to the nearest tenth of a centimeter is 3.5 centimeters. Which is the closest to the total surface area of the cube represented by this net?A. 74 cm.2B. 11 cm.2C. 43 cm.2D. 12 cm.2Answer: AL1
738.8BThe student is expected to connect models of prisms, cylinders, spheres, and cones to formulas for volume of these objects.
748.8BThe net of a cube is shown below. The measure of the dimensions of the cube to the nearest tenth of a centimeter is 2.2 cm. Which best represents the volume of this cube to the nearest cubic centimeter?A. 11 cm3B. 13 cm3C. 30 cm3D. 42 cm3Answer: AL1
758.8CThe student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.
768.8CA farmer uses a storage container shaped like a right cylinder to store his corn. The container has a radius of 5 feet and a height of 20 feet. The farmer plans to paint only the side of the cylinder with red paint. If 1 gallon covers 325 square feet, how many gallons will it take to complete the job?A. 2 gal C. 5 galB. 3 gal D. 7 galAnswer: AL3
778.8CA 72 inch piece of wire was cut into equal segments, which were soldered at the ends to form the edges of a cube. What is the volume of the cube? ?A. 216 in3B. 576 in3C. 729 in3D in3Answer: AL3
78A cylindrical water tank has a radius of 2.8 feet and a height of 5.6 feet. The watertank is filled to the top. If water can bepumped out at a rate of 36 cubic feet perminute, about how long will it take to emptythe water tank?A. 3 hrs C. 4 minB. 2 hrs D. 1 minAnswer: CL3
798.8CMrs. Lee bought a small rectangular box that contains 10 tightly packaged erasers shaped like rectangular prisms, as shown below. What is the approximate volume in cubic centimeters of this rectangular box?A. 19 cm3B. 97 cm3C. 192 cm3D. 513 cm3Answer: CL1
808.8CThe student council members are making decorative labels to cover 20 identical empty coffee cans for a charity drive. Each label will cover the entire lateral surface area of a can. Which is closest to the lateral surface area of a single coffee can??A. 186 in2B. 157 in2C. 195 in2D. 128 in2Answer: DL1
818.9AThe student is expected to use the Pythagorean Theorem to solve real life problems.
82A square park has a diagonal walkway from 1 corner to another. If the walkway is about38 yards long, what is the approximate length of each side of the park?A. 6 ydB. 9 ydC. 27 ydD. 54 ydAnswer: CL1
838.9BThe student is expected to use proportional relationships in similar two-dimensional figures or similar three dimensional shapes to find missing measurements.
848.9BΔMNQ is similar to ΔMLP. If ML = 10 centimeters, what is the length of MN?A cmB cmC cmD. 4 cmAnswer: AL1
858.10AThe student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.
86A. The area is reduced by 1/2. B. The area remains constant. Describe the effect on the area of a circle when the radius is doubled.A. The area is reduced by 1/2.B. The area remains constant.C. The area is doubled.D. The area is increased four times.Answer: DL1
87Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long andtwice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden?A ft2B ft2C ft2D ft2Answer: BL3
888.10AThe scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?A cmB. 75 cmC. 50 cmD cmAnswer: AL1
89If the dimensions of a rectangle are doubled, which of the following best describes an effect on the rectangle?A. The new area will be 2 times as large asthe original area.B. The new area will be 8 times as large asC. The new perimeter will be 4 times aslarge as the original perimeter.D. The new perimeter will be 2 times asAnswer: DL3
908.10BThe student is expected to describe the resulting effects on volume when dimensions of a solid are changed proportionally.
918.10BA cylindrical fruit-juice can has a volume of 64 fluid ounces. A second cylindrical can has dimensions that are ¾ the size of the larger can. Which is closest to the volume of the smaller can?A. 20 fl oz C. 36 fl ozB. 27 fl oz D. 48 fl ozAnswer: BL1