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Algebra 1 Bell Ringers 2 nd 6 Weeks

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Objective 6 The student will demonstrate an understanding of geometric relationships and spatial reasoning.

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8.6B The student is expected to graph dilations, reflections, and translations.

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8.6B Triangle XYZ is translated so that X is mapped to X′. Which coordinate pair best represents Y′? A. (−3, −8) B. (2, −7) C. (2, −6) D. (2, −2) L1

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8.6A ΔLMN has vertices L (a, b), M (r, s), and N (u, v). What will be the new coordinates of point M if the triangle is translated 7 units to the 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) L1

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8.7D The student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.

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8.7D Jake 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) L1

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8.7D Points 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) L1

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8.7D Which point on the grid below best represents the coordinates (8/3, 7/3)? A. Point K B. Point M C. Point R D. Point U L3

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Objective 7 The student will demonstrate an understanding of two- and three- dimensional representations of geometric relationships and shapes.

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8.7B The student is expected to use geometric concepts and properties to solve problems in fields such as art and architecture.

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8.7B **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? L3

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8.7B A 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. 192 C. 48 B. 96D. 14 L3

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8.7B An artist made a drawing of a house with a tree next to it. The drawing is 1/18 the size of the actual house and tree. The tallest point of the house is 12 feet 8 inches, and the tree is 27 feet tall. How many inches tall is the tree in the drawing? A. 8.4 in. C in. B. 18 in. D. 486 in. L3

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8.7B Ms. 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. $154 B. $75D. $231 L3

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8.7B Olga plans to take a trip from her house in San Marcos, Texas, to a friend’s house in Zapata, Texas. She measured the distance between the two places on a map and found it to be 8 inches. If the scale on the map is inch represents 14 miles, which is closest to the actual distance in miles between the two places? A. 112 mi C. 56 mi B. 224 miD. 44 mi L3

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Objective 4 The student will formulate and use linear equations.

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A.7A The student is expected to analyze situations involving linear functions and formulate linear equations or inequalities to solve problems.

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A.7A The 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 − 2 B. g = r − 2 C. g = 2r D. r = g + 2 L3

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A.7A Passengers 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 + 2c B. c = 3 + 2m C. m = 2 + 3c D. c = 2 + 3m L3

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A.8A The student is expected to analyze situations and formulate systems of linear equations in two unknowns to solve problems.

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A.8A The 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 = 90 L = 5 – 4W L = 4 – 5W B. 2L + 2W = 90 D. 2L + 2W = 90 L = 5W – 4 L = 4W – 5 L3

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A.8A The 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 = 156 C. 2s + 3b = 8 s = b + 8 s = b B. 2b + 3s = 156 D. 2s + 3b = 156 s + b = 8 b − s = 8 L3

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Objective 5 The student will demonstrate an understanding of quadratic and other nonlinear functions.

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A.11A The student is expected to use patterns to generate the laws of exponents and applies them in problem-solving situations.

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A.11A Which expression best represents the area in square units of the rectangle that has a width of 4x³y² and a length of 3x 2 y 3 ? A. 12x 6 y 6 B. 12x 5 y 5 C. 7x 6 y 6 D. 7x 5 y 5 L1

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A.11A Which expression is equivalent to (8x 3 )(2x 5 ) 4x 6 A. 4x 9 B. 4x 2 C. 2x 8 D. 2x 4 L1

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Objective 9 The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.

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8.13B The student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.

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8.13B The chart shows the amount of farmland in six western states. Which of the following statements is supported by the chart’s information? A.Texas has more farmland than the other states combined. B. Montana has twice as much farmland as Wyoming has. C. The range of farmland acreage in all states is 95.9 mil. D. The median number of farmland acreage of all states is 40.9 mil. L3 State # of Acres (Millions) Arizona 35.0 Colorado 34.0 Montana 59.6 New Mexico 46.8 Texas Wyoming 32.9

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8.13B 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. L3

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Objective 5 The student will demonstrate an understanding of quadratic and other nonlinear functions.

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A.11A The student is expected to use patterns to generate the laws of exponents and applies them in problem-solving situations.

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A.11A Which expression represents the area of a rectangle with sides measuring 2x 2 y 4 z units and 5xy 4 z 3 units? A. 7x²y 8 z B. 7x 3 y 8 z 4 C. 10x 3 y 8 z 4 D. 10x 2 y 8 z 3 L1

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A.11A What is the simplified form of a 4 b 2 c ? a 3 b 5 c 2 A. ab³c² B. _a_ b³c³ C. a 7 b 7 c 3 D. _a_ b³c L1

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Objective 8 The student will demonstrate an understanding of the concepts and uses of measurement and similarity.

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8.9A The student is expected to use the Pythagorean Theorem to solve real life problems.

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8.9A Mr. 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. 4.9 ft B. 5.3 ft C. 6.1 ft D. 6.9 ft L1

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8.9A In 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 ft B. 40 ft C. 85 ft D. 110 ft L3

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Objective 8 The student will demonstrate an understanding of the concepts and uses of measurement and similarity.

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8.8A The student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models).

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8.8A The 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. 2 B. 11 in. 2 C. 14 in. 2 D. 25 in. 2 L1

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8.8A The 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. 2 B. 9 in. 2 C. 14 in. 2 D. 18 in. 2 L1

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8.9B The student is expected to use proportional relationships in similar two-dimensional figures or similar three dimensional shapes to find missing measurements.

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8.9B Kate has 2 similar triangular pieces of paper, as shown below. Using the dimensions given, find the approximate length of the side labeled p. A. 2.4 centimeters B. 7.3 centimeters C centimeters D centimeters L1

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8.9B If ΔTSR is similar to ΔTNM, what is the length of x? A. 240 units B. 140 units C. 120 units D. 70 units? L1

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Objective 9 The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.

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8.11B The student is expected to use theoretical probabilities and experimental results to make predictions and decisions.

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8.11B A 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. Red B. White C. Blue D. Yellow L1

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8.12A The 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.

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8.12B Ms. Díaz asked each of her 27 statistics students 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. Median B. MeanD. Range L1

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Objective 10 The student will demonstrate an understanding of the mathematical processes and tools used in problem solving.

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8.14A The 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.

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8.14A A newspaper reported that the mean height of waves in the Norwegian Sea increased by 4 inches per year from 1955 to What additional information is needed to calculate the mean wave height in 1994? A. The mean height of waves in B. The range of wave heights from 1955 to 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. L4

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8.14A Mr. 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? A.The lengths and widths of the adjoining rooms in the blueprint. B.The scale of yards to inches in the blueprint. C. The total area of the house in the blueprint. D.The thickness of the carpeting in inches. L4

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8.14A 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 the astronomy club. B. The number of hours the bus was driven each day. C. The number of days the bus was rented. D. The total number of miles the bus was driven. L4

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8.14A 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. L4

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Objective 9 The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.

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8.12C The 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.

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8.12C Which histogram best reflects the data shown in the table? L1

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8.12C Students 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? L1

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8.11B The 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. L1

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8.13B The student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.

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8.13B The 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 of 660 minutes studying. B. Dennis studied for an average of about 47 minutes per day. C. Dennis studied for an average of 330 minutes per week. D. Dennis earned good grades during this 2-week period. L3

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8.12B 100 elementary students were surveyed to see which activity they preferred. Which of the following statements is supported by these data? A.Close to half the students surveyed preferred either the moon walk or the dunking booth. B. More than 25% of the students surveyed preferred the pony ride or the pie toss. C. The ratio of students who preferred musical chairs to the pie toss was 1:3. D. More students preferred musical chairs than preferred all the other activities combined. L3

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Objective 10 The student will demonstrate an understanding of the mathematical processes and tools used in problem solving.

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8.14B The 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.

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8.14B A 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 lbC. 16 lb B. 10 lbD. 32 lb L4

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Objective 8 The student will demonstrate an understanding of the concepts and uses of measurement and similarity.

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8.8A The student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two dimensional models).

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8.8A The 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. 2 B. 11 cm. 2 C. 43 cm. 2 D. 12 cm. 2 L1

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8.8B The student is expected to connect models of prisms, cylinders, spheres, and cones to formulas for volume of these objects.

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8.8B The 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 cm 3 B. 13 cm 3 C. 30 cm 3 D. 42 cm 3 L1

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8.8C The student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.

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8.8C A 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 galC. 5 gal B. 3 galD. 7 gal L3

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8.8C A 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 in 3 B. 576 in 3 C. 729 in 3 D in 3 L3

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8.8C A cylindrical water tank has a radius of 2.8 feet and a height of 5.6 feet. The water tank is filled to the top. If water can be pumped out at a rate of 36 cubic feet per minute, about how long will it take to empty the water tank? A. 3 hrsC. 4 min B. 2 hrsD. 1 min L3

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8.8C Mrs. 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 cm 3 B. 97 cm 3 C. 192 cm 3 D. 513 cm 3 L1

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8.8C The 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 in 2 B. 157 in 2 C. 195 in 2 D. 128 in 2 L1

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8.9A The student is expected to use the Pythagorean Theorem to solve real life problems.

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8.9A A square park has a diagonal walkway from 1 corner to another. If the walkway is about 38 yards long, what is the approximate length of each side of the park? A. 6 yd B. 9 yd C. 27 yd D. 54 yd L1

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8.9B The student is expected to use proportional relationships in similar two-dimensional figures or similar three dimensional shapes to find missing measurements.

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8.9B ΔMNQ is similar to ΔMLP. If ML = 10 centimeters, what is the length of MN? A cm B. 8.3 cm C. 7.5 cm D. 4 cm L1

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8.10A The student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.

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8.10A 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. L1

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8.10A Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice 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 ft 2 B ft 2 C ft 2 D ft 2 L3

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8.10A The 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. 100 cm B. 75 cm C. 50 cm D. 150 cm L1

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8.10A If 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 as the original area. B. The new area will be 8 times as large as the original area. C. The new perimeter will be 4 times as large as the original perimeter. D. The new perimeter will be 2 times as large as the original perimeter. L3

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8.10B The student is expected to describe the resulting effects on volume when dimensions of a solid are changed proportionally.

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8.10B A 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 ozC. 36 fl oz B. 27 fl ozD. 48 fl oz L1

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