RELEASED. End-of-Grade Alternate Assessment Mathematics. Grade 8. Student Booklet
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1 Released Form READY NCEXTEND2 End-of-Grade Alternate Assessment Mathematics Grade 8 Student Booklet Academic Services and Instructional Support Division of Accountabilit Services Copright 2013 b the North Carolina Department of Public Instruction. All rights reserved.
2 Sample Questions S1 Kerr walks 3 miles each da. How far will she walk in 7 das? A B 10 miles 14 miles S2 S3 C 21 miles What number is represented b point P on the number line below? P What fraction of the circle is shaded? 1
3 1 In which graph is a linear function of x? A B C x x x 2
4 2 In which table is a nonlinear function of x? A x B C x x
5 3 In 1990, there were about people living on Earth. What is this number written in standard form? A 43,000,000,000 B 4,300,000,000 C 430,000,000 4 A repair compan charges an initial fee of $50, plus an additional $35 per hour of work. Which equation can be used to determine c, the amount the compan charges for h hours of work? A c = 35h + 50 B c = 50h + 35 C c = 85h 4
6 5 Which choice is an equation of the line graphed below? A B 1 2 = x 2 = 1 x 2 2 C = 2x x 5
7 6 Sue collected data on how man flowers grew from the number of seeds she planted. Sue made the following scatterplot. 50 If Sue planted 100 seeds, approximatel how man flowers are expected to grow if the trend continues? A 75 B 50 C 35 Number of Flowers Number of Seeds Planted 6
8 Questions 7 through 12 require ou to write our answers in the boxes provided on our answer sheet. Write onl one number or smbol in each box and fill in the circle in each column that matches what ou have printed. Fill in onl one circle in each column. 7 What is the positive solution to the equation x = 21? 8 What is the value of 5 3 1? 5 7
9 9 What is the value of x in the equation 3x = 4x 6? 2 10 What integer is 78 closest to? 8
10 11 What is the product of 0.4 and 9 16? 12 What is the slope of the line that passes through the points (0, 5) and (2, 2)? 9
11 This is the end of the calculator inactive test questions. Directions: 1. Look back over our answers for the calculator inactive questions. You will not be able to go back and work on these questions once ou are given a calculator. 2. Raise our hand to let our teacher know ou are read to begin the calculator active test questions. 3. Do not begin work on the calculator active test questions until our teacher has given ou a calculator. 10
12 13 There are cells in a science lab tra. A second tra has 3 times as man cells. How man cells are in the second tra? A B C Suppose that the equation v = 1,425g represents the price to purchase g ounces of gold from Compan M. The table below shows the price to purchase different amounts of gold from Compan N. Which statement is true? Ounces (g) Price (v) 2 $2,900 5 $7,250 8 $11, $15,950 A Compan M sells gold for a lower price than Compan N. B Compan N sells gold for a lower price than Compan M. C Compan M sells gold for the same price as Compan N. 11
13 15 What is the solution to the equation 4x 2x = 12? A 2 B 6 C Juan has twice as man video games as Sam. Together the have 72 video games. How man video games does Juan have? A 24 B 36 C 48 12
14 17 John and Richard mow lawns. The each charge a flat fee plus an hourl rate. John charges $10.00, plus $5.00 per hour of work. The table below shows the amount Richard charges. Hours Cost 1 $11 2 $17 3 $23 Which statement is true? A John and Richard have the same hourl rate. B Richard has a lower hourl rate than John. C John has a lower hourl rate than Richard. 13
15 18 Carlos was driving at a constant speed. After 3 hours, he was 300 miles from a town on the highwa. After 6 hours, he was 480 miles from the town. Which function represents Carlos distance,, from the town after x hours? A = 120x 60 B = 100x C = 60x
16 19 Emil, James, and Cod ran a 90-ard race. The graph below shows the distance each person ran after different amounts of time. Which runner won the race? A B C Cod Emil Distance (ards) James Time (seconds) Cod Emil James 15
17 20 Triangle EFG is shown below. The triangle will be rotated 90 counterclockwise about the origin creating triangle E F G F In which quadrant will triangle E F G be located? A B C Quadrant II Quadrant III Quadrant IV E G x 16
18 21 A square with side length of 5 inches is shown below. What is the approximate length of the diagonal of the square? A 25 inches B 10 inches C 7 inches 22 What is the distance between the points (1, 2) and ( 3, 1)? A 3 units B 5 units 5 inches C 7 units 17
19 23 The dimensions of a water cup are shown in the diagram below. 3 in. 4 in. Approximatel how much water does the cup hold? A 9.4 cubic inches B 18.2 cubic inches C 28.3 cubic inches 18
20 24 Which scatterplot represents a positive association? A B C x x x 19
21 25 In which choice does the model fit its data best? A B C x x x 20
22 26 The scatterplot below shows the cost of homes sold on Hamilton Street during different ears. $150,000 Home Cost Over Time Based on the trend of the data in the scatterplot, which would be the best estimate of the cost of a house sold on Hamilton Street in 2010? A $125,000 B $140,000 C $155,000 Cost of Homes Sold $125,000 $100,000 $75,000 $50,000 $25,000 $ Sales Years
23 27 The equation = 1 x represents the number of cups of cat food,, that Chris 2 feeds his cat in x das. Chris s dog eats 6 times as much per da as his cat. Which graph s slope shows the rate at which Chris s dog eats? A B C Cups of Food Cups of Food x Das x Das Cups of Food x Das 22
24 28 Which choice is an equation of the line that passes through the origin and the point ( 12, 9)? A 4 = x 3 B 3 = x 4 C = 3x 29 A sstem of equations is shown below. = 3x 1 = 2x + 4 What is the sum of x and in the solution to the sstem? A 2 B 3 C 4 23
25 30 For which set of ordered pairs is a function of x? A {(2, 3), (3, 4), (4, 4), (5, 6), (5, 3)} B {(2, 3), (3, 3), (4, 4), (5, 4), (6, 5)} C {(2, 3), (2, 4), (4, 6), (4, 8), (6, 10)} 31 Mar compared the slope of the function = 5x + 6 to the slope of the function whose graph passes through all of the points (x, ) given in the table below. x What is the difference between the slopes of the two functions? A 2 B 5 C 6 24
26 32 Which choice best describes the part of the graph from x = 2 to x = 0? A B C nonlinear and decreasing linear and increasing linear and decreasing x 25
27 33 Rectangle PQRS will be translated so that point Q will be located at (8, 3). What will be the coordinates of point R? A (3, 4) B (4, 7) C (8, 1) P Q 1 S R x 26
28 34 The figure below shows two parallel lines cut b two transversals. M P L S R 80 N Angles MNL and PNQ are congruent. What is the measure of angle NRS? A 100 B 130 C 150 Q T 35 A 13-foot ladder leans against a building. The base of the ladder is 5 feet from the building. How high up the building is the top of the ladder? A B C 8 feet 10 feet 12 feet 27
29 36 A cit map is on a grid where each unit represents one mile. Approximatel how much greater is the distance from Joe s house to Megan s house than the distance from Joe s house to Nanc s house? A B C 7.7 miles 3.6 miles 1.9 miles Joe s House Megan s House Nanc s 4 House x 28
30 37 A clindrical storage building is shown below. 6 feet Approximatel how much grain can the storage building hold? A 2,260 ft 3 B 1,130 ft 3 C 380 ft 3 38 Jim earns $8 per hour working at a store. What tpe of relationship exists between the number of hours Jim works and his total pa? A B negative relationship no relationship 20 feet C positive relationship 29
31 39 The data points in the scatterplot below show the number of pages in 6 books and the amount of time it took Pam to read each of the books. Pam modeled the data 1 with the line = x, which is graphed on the scatterplot. 25 Which choice best describes how well the line fits the data and explains wh? A B C Time (hours) Pages The model is a good fit to the data because it goes through one of the data points and is ver close to another data point. The model is a good fit to the data because the points are scattered above and below the line, and the points are fairl close to the line. The model is a bad fit to the data because it goes through fewer than half of the points x 30
32 40 A surve was conducted to determine if students prefer chocolate or vanilla ice cream. The results of the surve are shown below. 6th-Graders 7th-Graders 8th-Graders Vanilla Chocolate At which grade level were the surveed students most likel to prefer vanilla ice cream? A B C 6th-Graders 7th-Graders 8th-Graders 31
33 Directions: This is the end of the mathematics test. 1. Put all of our papers inside our test book and close our test book. 2. Place our calculator on top of the test book. 3. Sta quietl in our seat until our teacher tells ou that testing is finished. 32
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