Student Name GRADE. Mississippi Curriculum Test, Second Edition PRACTICE TEST BOOK MATHEMATICS

Transcription

1 Student Name Mississippi Curriculum Test, Second Edition MCT GRADE 8 PRACTICE TEST BOOK MATHEMATICS

2 Mark your answers for questions 60 on your answer document. Mark only one answer for each question. You may write in your test booklet, but you must mark your answers on your answer document.. The following figure is drawn on a grid where the line segments are inch apart. s. Which of the following is not equivalent to ( 6 )? F. 6 G., 96 H. 6 J. 6. Lakeisha correctly solved the inequality 7 < ( + ). She determined there are no solutions to the inequality. Which statement could not be used to justify Lakeisha s conclusion? Which scale factor could be used to enlarge the figure so that the length of side s is inches? A. : B. : C. : D. : A. When Lakeisha simplifies the inequality, no values satisfy the resulting inequality. B. When Lakeisha simplifies the inequality, the result is 7 < 6. C. When Lakeisha distributes the on the right side of the inequality and moves the variable to the left side, the result is 7 6 < 6. D. When Lakeisha distributes the on the right side of the inequality, it results in, which when moved to the left side cancels out the variable terms. Page

3 . The following graph represents the weekly wages of an hourly worker. Wages (dollars) y Weekly Wages 000 Hours Which appears to be the slope of the line in the graph? 6. Which number below is an element in the set of irrational numbers? F. G.. H. 8.7 J.,., 87., 7. Which of these is equivalent to the epression below? a b F. G. H. J. 8 6 A. a b B. a + b C. a b D. a b 8. Line t is a transversal for parallel lines p and q.. What is the result of the first step when simplifying ( )? A. B C. 9 D. 9( ) Which of the following angle pairs are always congruent? F. Supplementary angles G. Adjacent angles H. Corresponding angles J. Complementary angles Page

4 9. Melinda had a board that was 7 inches long. She cut a piece from 0. Look at the completed function table below. the board that was 6 inches long. The blade of the saw she used cut an additional inch from the board. 8 Melinda concluded that the length of the board left was 7 8 inches. 8 6 y 6 0 Which method did Melinda use to determine the length of the board left? A. Melinda subtracted from 6 8, then subtracted the result from 7 inches. B. Melinda subtracted from 7 8 8, then subtracted the result from 7 inches. C. Melinda added inch to 7 8 inches, then subtracted the 8 result from 7 inches. D. Melinda added inch to 6 8 inches, then subtracted the result from 7 inches. Which set of characteristics describes the graph of the line made by using the values in the function table? F. A slope of and a y-intercept. Which list is ordered from greatest to least? A. of G. A slope of and a y-intercept of 6 H. A slope of and a y-intercept of J. A slope of and a y-intercept of 6.,,,. B..,,., C.,.,,. D..,.,, Page 6

5 . The spinner below is used on a game. 8. Mrs. Brown plans to stain the top of her wooden patio. The patio is shaped like a trapezoid. The dimensions of her patio are pictured below. ft 7 ft ft 6 ft If the arrow on the spinner is spun twice, what is the probability that the arrow will land on the first spin and on either or 6 on the second spin? F. 8 What is the area of the top of Mrs. Brown s patio? F. 78 ft G. 67 ft H. 6 ft J. 6 ft G. H. J The roof of a patio is in the shape of a triangle. 7 ft 7 ft. What are the -intercept and the y-intercept of y =? A. (, 0) and ( 0, ) B. (, 0) and ( 0, ) C. (, 0) and ( 0, ) D. (, 0) and ( 0, ) What is the value of, the distance from the base of the roof to the top of the roof? A. feet B. 8 feet C. feet D. feet 0 ft Page 7

6 6. The following table shows the prices of si laptop computer models. Which statistical measurement does not increase when a new laptop model that retails for $,99.99 is added to the table? F. Mode G. Mean H. Median J. Range Laptop Prices Laptop Model PV 800 PV 800 PV 7800 PV 700 PV 6900 PV 6800 Retail Price $ $ $ $89.99 $89.99 $ One of Robert s homework problems had the following function table. 0 6 Robert concluded that the rule for this function table was y = +. Which statement best justifies that Robert s conclusion is correct? F. The -values are all even numbers and is an even number. G. The y-intercept of the equation is and the first point is ( 0, ). H. Each -value put into the equation yields the corresponding y-value. J. All the -values are positive, so all the y-values will also be positive. y Which epression demonstrates the rule used to simplify A. ( ) B. ( ) C. ( ) D. ( )? 9. Which epression is equivalent to a + a+ a 7? A. a a 7 B. a a 7 C. a a D. a a Page 8

7 0. Wanda outlined the shape of her school playground, as shown below. 60. Some students at a middle school were asked to name their one favorite sport. The table shows the responses of the first 0 students. Favorite Sports Sport Basketball Number of Students 7 8 What is the value of in Wanda s outline? Football Baseball Soccer Other 9 9 F. 60 G. H. 0 J. 9 What is the probability that the net student chosen at random will name basketball or football as their one favorite sport?. Emily s first five test scores were 99, 8, 86, 68, and 98. What is the minimum score Emily would need on the sith test to have a mean score of 88? A. 86 B. 87 C. 88 D. 9 F. G. H. J Page 9

8 . Larissa incorrectly graphed y = on the following coordinate grid. y Which statement could not be used to justify that Larissa s graph is incorrect? A. The line should cross the y-ais at. B. The intercepts of the line should be (, 0) and C. The slope of the line should be. D. The slope of the line should be positive. ( 0, ). Page 0

9 . The following figure shows a semicircle with a diameter that is the leg of a right triangle. 6. The area of a square is determined using the formula A = s. 0 in. A = 69 in. 8 in. Which measurement is closest to the total perimeter of the composite figure? F. 7 inches G. inches H. 7 inches J. inches What is the length, in inches, of each side of this square? F. in. G. in. H.. in. J. 8. in.. In the diagram below, line t intersects parallel lines l and m Which pair of angles in the diagram are supplementary angles? A. and B. and C. and 7 D. and 8 t l m 7. Cally incorrectly concluded that the solution to the following inequality was n 0. n + 6 Which statement could be used to justify that Cally s solution is incorrect? A. When Cally divided by, the sign of the answer should have been negative. B. When Cally divided by, she should have changed the inequality sign to. C. When simplifying, Cally should have added to both sides of the inequality. D. When simplifying, Cally should have divided by. Page

10 8. Which number line best represents F ? G H J Marge purchased 60 shares of stock at $6.0 per share. There was a.% purchase fee for the stock she bought. What was the amount of the purchase fee Marge had to pay? A. $70.00 B. $687.0 C. $ 8. D. $ Which equation shows the correct use of the Distributive Property? F. ( n+ ) = ( )( n) + G. + ( n i ) = ( + n)( + ) H. ( n+ ) = ( )( n) + ( )( ) J. + ( n i ) = ( )( n) + ( )( ) Page

11 . A group of 8th graders used building blocks to compose the object below. Front Which set shows the top view, the side view, and the front view of the three-dimensional object? A. C. Top View Side View Front View Top View Side View Front View B. D. Top View Side View Front View Top View Side View Front View Page

12 . A top-view of Mr. Thompson s office desk is shown below. in. What is the area of the top of Mr. Thompson s office desk? F. 9 in. G. 00 in. H. 776 in. J. in. 8 in. in. in.. Roanne s first si test scores were 7, 7, 9, 7, 90, and 60. On her seventh test she received a score of 9. Which measure of data changed because of Roanne s seventh test score?. Greg s game has players placed into teams of players each. The following list shows the skill levels of the players: Novice level: players Intermediate level: 0 players Master level: 0 players Which epression represents the probability that master-level players will be placed into the same team? F. G. H. J. 0 0 i i i i i i i i i i i i i i i i. Which of the following is equivalent to ( + )? A. 6 0 B. 6 0 C. 6 0 D A. Mean B. Mode C. Range D. Median Page

13 6. Alejandro drew ΔKLM and ΔPQR. He stated the two triangles are similar. R units M units 6 units 0 units L units K Q 8 units P Which of the following could not be used to justify Alejandro s statement? F. Both ΔKLM and ΔPQR are right triangles. G. The corresponding angles of ΔKLM and ΔPQR are congruent. H. The ratios of the lengths of the corresponding sides of ΔKLM and ΔPQR are equal. J. The ratios of the lengths of the corresponding sides of ΔKLM and ΔPQR are equal and their corresponding angles are congruent. 7. In the diagram below, lines k and m intersect parallel lines p and q. k m p 0 q What is the value of? A. B. 60 C. 0 D. Page

14 8. What is the slope and y-intercept of the line represented by the equation y =? F. The slope is, and the y-intercept is. G. The slope is, and the y-intercept is. H. The slope is, and the y-intercept is. J. The slope is, and the y-intercept is. 0. Mario ordered 6 chains. Half of the chains each measured feet. The rest of the chains each measured feet. The cost for each chain was $.0 per foot. Mario determined that the total cost of the chains was $ Which epression could be used to justify that Mario s conclusion is correct? F. G. H. (.)() + (.)()( 6) ( 6)( + )(. ) ( 8)( + )( 6) J. ( 8)( + )(. ) 9. Cleo made an isosceles triangle from construction paper. The angle between the two congruent sides was 70. What was the measure of each of the other angles? A. One is 90 and the other is 0 B. One is 70 and the other is 0 C. Both are D. Both are 0. Casey s car used.8 gallons of fuel to travel 8. miles today. She plans to travel 00 miles tomorrow. She calculated that she will need about 0 gallons of fuel but wants to analyze her answer. Which pair of ratios shows that Casey s calculation is correct? A and 0 00 B. C and and.8 D and.8 Page 6

15 . Which of the following graphs has a line that appears to have a slope of 0? F. y H. y 0 0 G. y J. y 0 0. Jane had a rectangular frame 0 inches in length and inches in width. Stan made a similar frame that is smaller in size. Which of the following could be the dimensions of the frame Stan made? A. Length 0 inches, width inches B. Length inches, width 8 inches C. Length inches, width 8 inches D. Length inches, width inches Page 7

16 . Enrique stated that ΔLMN is similar to ΔKMP in the following figure.. The diagram below forms a geometric solid. K in. L 8 cm 9 in. 6 in. 0 in. P in. N 8 in. M Which of the following could Enrique use to justify his statement that ΔLMN is similar to ΔKMP? F. ΔLMN and ΔKMP are right triangles and MPK is congruent to MNL. G. ΔLMN is inside of ΔKMP and PN is congruent to NM. H. MPK is congruent to NML and KL is congruent to LM. J. MKP is congruent to MLN and PMK is congruent to NML. cm Which statement describes the solid that is constructed when the net is folded along the dashed lines? A. The solid is a triangular right prism with a base that is a square. B. The solid is a tetrahedron with lateral faces that are isosceles triangles. C. The solid is a square-based pyramid with lateral faces that are isosceles triangles. D. The solid is a square-based pyramid with lateral faces that are equilateral triangles. Page 8

17 6. The scatter plot shows the levels achieved in a game by new players based upon the number of weeks that they have been playing. y Player Progress Level Achieved Number of Weeks of Play Which of these statements best describes the information in this scatter plot? F. All players who have been playing for 6 weeks have achieved level. G. All players who have been playing for 0 weeks have achieved level. H. All players at level or higher have been playing for more than weeks. J. All players at level or higher have been playing for more than 0 weeks. 7. What is the value of the epression below? 8. Charlie is building a circular brick patio. The diameter of the patio is 0 feet. A. B. 7 C. 0 D. 6 i + 7 Which is closest to the area of the patio? (Use. for.) F. ft G. 6 ft H. 79 ft J. ft Page 9

18 9. The table shows the most recent scores students received on a test in Ms. Whitley s class. Student Scores Score Number of Students 0 0 Ms. Whitley claimed the median of the test scores is the best measure of the performance of the students on this the test. Which statement justifies Ms. Whitley s conclusion? A. The median is always the best indicator of academic performance. B. The median is the best since it keeps the etremely low scores from skewing the overall class performance. C. The median is best when there are a significant number of students who scored ninety or above. D. The median is the best since there was a relatively large range of scores. Page 0

19 0. Maisha s patio floor is covered with rectangular tiles that are arranged in identical rows of tiles each. Each tile measures inches wide by 8 inches long. The patio floor measures 8 feet wide by 0 feet long. The following diagram represents Maisha s patio floor. tiles rows If Maisha adds more rows of tiles each, what will be the new perimeter of the patio floor? F. 8 feet G. 6 feet H. 8 feet J. feet Page

20 . Which epression is the Least Common Multiple (LCM) of 6 yz and y? A. y B. yz C. y z D. y. Ivan placed a fence around his rectangular vegetable garden. The perimeter of the garden was 8 feet. The equation + ( + ) = 8 can be used to determine the dimensions of the garden. +. Which epression has the greatest value? F. G. H i i ( ) 6 ( 8 + 8) i J. ( 6 ) i What is the width,, of Ivan s garden? F. 0 feet G. feet H. feet J. feet. Which statement about the length of the hypotenuse of a right triangle whose legs are 7. inches and 8. inches is true? A. The hypotenuse is between 8 and 9 inches. B. The hypotenuse is between 9 and 0 inches. C. The hypotenuse is between 0 and inches. D. The hypotenuse is between and inches.. Which of the following statements describes the graph of the parabola with the equation y =? A. The graph opens upward, and the verte is ( 0, 0 ). B. The graph opens upward, and the verte is ( 0, ). C. The graph opens downward, and the verte is ( 0, 0 ). D. The graph opens downward, and the verte is ( 0, ). Page

21 6. In the diagram below, lines p and q are parallel, and line t is the transversal. 70 ( + 0) t p q What is the value of? F. 0 G. 70 H. 90 J What is the value of the following epression when = and y =? 8. Which set consists only of irrational numbers and integers? A. 0 B. 90 C. 0 D. 0 7y y F. {, π,, 0, } G. {, π, 0,, } H. {,,, 0., π} { } J.,,,, Page

22 9. The table shows the points that the three highest-scoring students made during four basketball games. The student with the highest mean score wins an award. Basketball Scores Game Clarisse s Scores Jade s Scores Monique s Scores First game 6 7 Second game Third game 9 0 Fourth game 8 9 Monique concluded that she will win the award. Which statement could be used to justify that Monique s conclusion is not correct? A. Clarisse scored higher than Monique on the first game. B. Jade scored higher than Monique on the second game. C. Jade s mean score was higher than Monique s mean score. D. Clarisse s mean score was higher than both Jade s mean score and Monique s mean score. Page

23 60. Which number line best represents 7? F G H J BE SURE YOU HAVE MARKED ALL YOUR ANSWERS ON THE ANSWER DOCUMENT. Page STOP

24 Grade 8 Math Practice Test Key Item Sequence Answer Key Competency Objective Framework DOK Item PLD Item DOK C b Proficient F g Proficient C c Advanced J f Proficient A b Proficient 6 J a Proficient 7 A f Basic 8 H a Basic 9 D b Advanced 0 J i Proficient A a Proficient J c Proficient B g Proficient J c Basic B c Proficient 6 F a Proficient 7 B e Proficient 8 H e Advanced 9 C a Basic 0 G b Proficient D a Proficient F c Proficient C e Advanced F a Proficient D a Proficient 6 F g Proficient 7 B c Advanced 8 J d Proficient 9 D b Proficient 0 H b Proficient D e Proficient H c Basic A b Proficient G c Proficient C h Proficient 6 F d Advanced 7 B b Proficient 8 F g Proficient 9 C b Proficient 0 J b Advanced B b Proficient G f Proficient D d Proficient J d Advanced C e Proficient 6 H d Proficient 7 B d Basic 8 H c Basic 9 B b Advanced 0 H a Proficient C c Proficient F d Basic D c Proficient F c Basic C i Proficient 6 H b Proficient 7 B a Proficient 8 F a Proficient 9 D a Advanced 60 G d Proficient