Test Booklet Subject: MA, Grade: 08 MCT2 Grade 8 Math 2008 Student name: Author: Mississippi District: Mississippi Released Tests Printed: Sunday September 02, 2012 MCT2 Grade 8 Math 2008 MA:08 1 The wingspans of four butterflies are recorded below. 2.41 centimeters, 2.39 centimeters, 2.40 centimeters, 2.405 centimeters Which length represents the GREATEST wingspan of these butterflies? A B C D 2.41 centimeters 2.39 centimeters 2.40 centimeters 2.405 centimeters 2 Which statement explains how to simplify the 7 expression 5 53 ? A Keep the common base and add the exponents. B Keep the common base and divide the expo- 4 Drake spent a total of $37.50 on the entrance ticket and ride tickets at the county fair. The entrance ticket was $13.50 and the ride tickets were $1.50 each. What is the number of ride tickets Drake bought? nents. C Keep the common base and multiply the exponents. D Keep the common base and subtract the exponents. 3 What is the least common multiple (LCM) of 3x4 y 2 and 7xy 3 ? A B C D Page 1 10xy 2 5 5 10x y 4 3 21x y 5 5 21x y A B C D 9 16 25 34 5 Which expression is equivalent to −3x 4 (3x + 2) ? A B C D 4x + 6 9x + 8 9x + 2 15x + 8 Go On + MCT2 Grade 8 Math 2008 MA:08 6 The drawing below shows a three-dimensional structure built with 14 identical cubes. Which of the following best represents the top view of this structure built with 14 cubes? A B C D Page 2 Go On MCT2 Grade 8 Math 2008 MA:08 7 Corey drew the following graph for the equation y = 13 x − 1 . Is Corey correct? A B C D No, the y-intercept is correct, but the slope of the line should be negative. No, the y-intercept is correct, but he drew the reciprocal of the slope. No, the slope is correct, but the y-intercept should be positive. No, the y-intercept and slope are both wrong. 8 What is the value of x in the inequality shown below? graph of the following equation? 3 (5x − 7) ≥ 2 (6x + 9) A B C D 9 Which phrase describes characteristics for the x ≥ 13 x ≤ 13 x ≥ −13 x ≤ −13 y = 4x − 4 A line with a negative slope that crosses the xaxis at a negative value B A line with a negative slope that crosses the xaxis at a positive value C A line with a positive slope that crosses the xaxis at a negative value D A line with a positive slope that crosses the xaxis at a positive value Page 3 Go On MCT2 Grade 8 Math 2008 MA:08 10 The following grid shows the top, front, and right-side views of a three-dimensional structure Lisa plans to build with identical cubes. Which of the following best represents Lisa’s three-dimensional structure? A C B D Page 4 Go On MCT2 Grade 8 Math 2008 MA:08 11 Baxter plans to build a skateboard ramp. The dimensions of a side of the skateboard ramp are shown below. Which is closest to x, the length of the ramp? A B C D 9 feet 11 feet 12 feet 13 feet 12 In the diagram below, line t intersects parallel lines r and s . 13 Which number shown below is an element in the set of whole numbers? √ √ q1 √ 64, π, , 6.25 4 √ A 64 √ B π C ◦ If the measure of 6 3 = 68 , what is the measure of 6 8? A B C D Page 5 D q √ 1 4 6.25 180◦ 112◦ 68◦ 28◦ Go On MCT2 Grade 8 Math 2008 MA:08 14 Betty drew a diagram of the roads she can travel to get to a friend’s house. She previously traveled from point A to point D thru points B and C. However, a new road was built from point A directly to point D, which she plans to take to go to her friend’s house. How much shorter is the trip if Betty takes the new road to her friends house? A B C D 8 miles 10 miles 13 miles 36 miles 15 The city built a circular playground in the park. The radius of the playground is 12 feet. Which is closest to the circumference of the playground? (Use 3.14 for π .) A B C D Page 6 24 ft 38 ft 75 ft 144 ft Go On MCT2 Grade 8 Math 2008 MA:08 16 Doris, Jan, and Cameron are competing in a 18 Tina has a bag of colored marbles that are equal in gymnastics competition. The winner will be the one with the highest mean score of all of the events. Their scores are represented in the following table. size. The table below shows the color distribution of the marbles in her bag. Cameron thinks she has won the competition. Is she correct? A B C D No, because Doris has the highest mean score. No, because Jan has the highest mean score. Yes, because she scored more 10’s than Doris. Yes, because she has the highest range of scores. Tina plans to randomly pick two marbles from the bag, one marble at a time, without placing it back in the bag. If the first marble she picks is blue, what is the probability that the second marble she picks is green? A B C D 1 14 1 5 7 25 2 7 17 Felicity’s quiz scores in her mathematics class were: 80, 94, 91, 80, 97, 100, 99 Which measure of central tendency should Felicity use to best represent the data? A B C D Page 7 Mean Mode Range Median Go On MCT2 Grade 8 Math 2008 MA:08 19 Which of the following represents the graph of a line that has a positive slope? A C B D 20 Which of the following correctly applies the 21 Rashad solved the inequality 2x + 4 ≥ 14 Distributive and Associative Properties to the expression below? and determined that x could equal 6. Is Rashad correct? r + 7 (r + 5p) A B C D Page 8 (r + 7r) + 5p (r + 7) (r + 5p) 2r (7 + 35p) A B C D No, because x ≥ 5 No, because x = 5 Yes, because x ≥ 5 Yes, because x ≤ 5 (r + 7r) + 35p Go On MCT2 Grade 8 Math 2008 MA:08 22 What is the y-intercept of the line represented by the equation below? y = 3x + 2 A 0, 23 B (0, 2) C 23 , 0 D (2, 0) 23 Which expression is equivalent to 32? A B C D 36 − (6 ÷ 3) (1 + 1) (36 − 6) ÷ 3 (1 + 1) 36 − 6 ÷ 3 (1) + 1 (36 − 6) ÷ 3 (1) + 1 24 Nationwide 3,457,000 copies of a novel were sold during the first week it was available. What is that number written in scientific notation? A B C D 3.457 × 107 3.457 × 106 3.457 × 10−6 3.457 × 10−7 25 What is the value of this expression? 1142 A B C D Page 9 116 228 11,856 12,996 Go On MCT2 Grade 8 Math 2008 MA:08 26 The diagram below shows a three-dimensional object made of 11 identical cubes. Which of the following best represents the top view of this three-dimensional object? A B C D 27 Which expression can be used to determine the length, in inches, of the leg of a right triangle that has a hypotenuse of 8 inches and a leg of 6 inches? √ A 82 − 62 √ B 82 + 62 C 62 + 82 D 62 − 82 Page 10 Go On MCT2 Grade 8 Math 2008 MA:08 28 Use your inch ruler to help you answer the question. Xavier plans to glue a piece of rope around the outside edge of a plaque. A drawing of the shape of the plaque is shown below. Which is closest to the perimeter of the plaque? A B C D 15 inches 18 inches 20 inches 23 inches Page 11 Go On MCT2 Grade 8 Math 2008 29 Which is closest to the circumference and area of a circle that has a radius of 9 inches? (Use 3.14 for π .) A The circumference is 57 inches and the area is 254 inches. B The circumference is 254 inches and the area is 57 inches. C The circumference is 28 inches and the area is 324 inches. D The circumference is 324 inches and the area is 28 inches. 30 In the drawing below, lines r and t are perpendic- MA:08 31 Carmen’s garden is shaped like a rectangle. The garden has an area of 48 square feet. Which of the following could be the dimensions of Carmen’s garden? A B C D 12 ft by 36 ft 10 ft by 14 ft 8 ft by 40 ft 6 ft by 8 ft 32 Joan and Malcolm each have a kite. Joan says their kites are similar, but Malcolm says they are not similar. ular to line q, and line p intersects lines r and t. Who is correct and why? If m6 1 + m6 2 = 160◦ , what is the measure of 6 3 ? A Joan is correct because the kites are both isosceles. A B C D ◦ 70 ◦ 80 90◦ 110◦ Page 12 B Malcolm is correct because the ratio of the sides are not proportional. C Joan is correct because the bases of the kites are the same. D Malcolm is correct because his kite is bigger. Go On MCT2 Grade 8 Math 2008 MA:08 33 Trina recorded the total number of people at the ice-skating rink and the highest temperature during the day over a period of fourteen days. Based on the scatter plot, what can Trina interpret about the relationship between the highest temperature during the day and the number of people at the ice skating rink. A B C D More people skated when the calendar was colder. More people skated when the calendar was warmer. No one likes to skate when the temperature is below zero. There is no relationship between the temperature and the people skating. 34 What is the value of the expression below? 3 2 · 7 + 4 ÷ 2 A B C D 13 20 39 46 Page 13 35 The measures of two angles of a triangle are 80 and 40 degrees. What is the measure of the third angle of the triangle? A B C D 40◦ 60◦ 80◦ 90◦ Go On MCT2 Grade 8 Math 2008 36 Marie’s homeroom teacher is choosing 2 of his 18 students to be office aides for the day. If the teacher randomly chooses 2 students at the same time, what is the probability that Marie will be chosen? A B C D MA:08 39 Which two angles in the figure shown below are alternate exterior angles? 1 18 1 9 8 9 17 18 37 What is the value of the expression below when x = 8? 3x2 − 17 A B C D 7 31 175 559 A B C D 1 and 6 3 6 6 2 and 6 7 6 3 and 6 8 6 4 and 6 5 38 Lucinda determined the following information about a group of six numbers. · The median is 22. · The mode is 19. · The mean is 23. Which group could be the six numbers Lucinda used? A B C D 19, 16, 24, 19, 26, 28 22, 19, 22, 24, 26, 25 27, 23, 19, 21, 29, 19 19, 21, 25, 19, 26, 28 Page 14 Go On MCT2 Grade 8 Math 2008 MA:08 40 Which of the following represents the graph of a line that has negative slope? A C B D 41 Which graph best represents the solution set for this inequality? 1 x 5 > −1 A B C D Page 15 Go On MCT2 Grade 8 Math 2008 MA:08 42 Which of the following correctly applies the 45 Todd paid $534.00 for a bicycle. His father loaned Distributive and Commutative Properties to the expression below? him 75% of the money. Todd has to pay back 60% of the loan from his first paycheck and 40% of the loan from his second paycheck. Todd gave his father $200.25 from his first paycheck. 4 (5z + 3x) + 7z A B C D 12x + 12z Did Todd give his father the correct amount? 3x + 20z + 7z 12x + 20z + 7z 12x + 20x + 28z 43 In the diagram below, line p is a transversal for lines q and r . A No, because his first payment should have been $240.30. B No, because he owes his father $400.50. C Yes, because he gave his father half of what he owed him. D Yes, because he only needed to give his father $160.20. 46 Which is closest to the value of this expression? √ 52.1 A B C D If lines q and r are parallel, which of the following angles is NOT congruent to angle x? A B C D k 8 26 104 47 A farmer is planting a field shaped like a rectangle. The length of the field is 1.65 × 102 feet, and the width is 1.5 × 103 feet. What is the area, in square feet, of the field? l m n 44 Which value for x makes the inequality true? − 15 x A B C D 7 + 4 ≤ 39 A B C D 2.475 × 105 2.475 × 106 3.15 × 105 3.15 × 106 x ≤ 175 x ≥ 175 x ≥ −175 x ≤ −175 Page 16 Go On MCT2 Grade 8 Math 2008 48 Terrance bought a beach ball that has a diameter of 10 inches, as shown below. MA:08 50 Olga is 5 feet tall. A streetlight is 18 feet tall. Olga’s shadow cast by the streetlight is 3 feet long. Which is closest to the surface area of the beach ball? (Use 3.14 for π .) A B C D 126 in.2 Which explanation tells how to find the distance, in feet, between Olga and the base of the streetlight? 251 in.2 A Multiply the height of the streetlight by the 2 ratio of Olga’s height to the length of her shadow. 314 in. 1256 in.2 B Multiply the height of the streetlight by the 49 Steve has two square-shaped posters of different ratio of the length of Olga’s shadow to her height. sizes. The total area of both posters is 120 square inches. The area of the larger poster is two times the area of the smaller poster. C Multiply the height of the streetlight by the If x represents the area of the smaller poster, which equation can be used to determine the area, in square inches, of the smaller poster? D Multiply the height of the streetlight by the A B C D ratio of Olga’s height to the length of her shadow, and then subtract 3. ratio of the length of Olga’s shadow to her height, and then subtract 3. 120 − 2x = x 120 (2x) = x 120 − x = x 120 + 2x = x Page 17 Go On MCT2 Grade 8 Math 2008 MA:08 51 Kaleb surveyed the students in the school band about their favorite color. He recorded the results in the following bar graph. Which measure of central tendency should Kaleb use to best represent the data? A B C D Mean Mode Range Median 52 The pre-algebra class conducted a survey of the 53 Susan scored an 88 on her last math test. Her 8th grade students to determine what type of items they should sell for a fundraiser. The teacher told them to select the appropriate measure of central tendency for the data they collected. scores before the last math test were 95, 89, 90, and 93. Which of the following statements would help them decide which measure of central tendency to use for their survey? A The median is a better measure to use when the data set has an extreme high or low value. What score must Susan make on the next test in order receive a mean score of 90? A B C D 85 88 90 91 B The mode is most appropriate when the data is not numerical. C The mean is the average of the numbers in the data set. D The range of data will vary depending on how many students they survey. Page 18 Go On MCT2 Grade 8 Math 2008 MA:08 54 Which of the following best represents the graph of the function containing each of the ordered pairs shown in the table below? A C B D 55 Which graph best represents the solution set for this inequality? x − 4 ≤ 0 A B C D Page 19 Go On MCT2 Grade 8 Math 2008 MA:08 56 Which phrase describes characteristics for the 58 Based on the past twenty years, the probability for graph of the line connecting the points in this table? the weather pattern in a town for any given day in December is shown in the table below. A A line with a negative slope that crosses the xaxis at 5 B A line with a negative slope that crosses the yaxis at 5 C A line with a positive slope that crosses the xaxis at 5 D A line with a positive slope that crosses the yaxis at 5 57 Which is equivalent to the expression below? Based on the information in the table, what is the probability that it will NOT snow in this town on any day in December? A B C D 1 31 3 20 2 5 3 5 (−4gh) (−10gh) A B C D −14gh −14g 2 h2 40gh 40g 2 h2 Page 20 Go On MCT2 Grade 8 Math 2008 MA:08 59 The graph of a linear equation is shown below. Which of the following best represents the slope, m, and the y-intercept, b, for the graph of the linear equation? A m = -2 b = -2 B m = -2 b = -1 C m = − 12 b = -2 D m = − 12 b = -1 Page 21 Go On MCT2 Grade 8 Math 2008 MA:08 60 Maddie has two similar rectangular flower beds, as shown below. What is the value of w, the width of the larger flower bed? A B C D 3 feet 6 feet 9 feet 15 feet Page 22 STOP
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