Pre-Algebra 2010 2011 Semester 2 Exam Released

Pre-Algebra 2010–2011 Semester 2 Exam — Released

1. In a bag of M&Ms, 3 are red, 4 are green, 4. The students in Mr. Jones’ class figure out and 6 are brown. If a student picks a piece the value of the coins in their pockets. The of candy out of the bag, what are the odds total value of each student’s coins is shown in favor of picking a red candy? in the stem-and-leaf plot below. 3 (A) Value of Coins 13 0 2 5 3 1 4 6 7 (B) 2 1 2 2 2 10 3 0 0 4 9 10 4 8 9 (C) 3 5 0 1 1 8 13 Key 3|4 = $0.34 (D) 3 What is the range of the values of the students’ coins? 2. This question obsolete as of 2011–2012. See new test specifications and practice (A) $0.06 questions. (B) $0.22 3. (C) $0.30 (D) $0.56

5. Which box-and-whisker plot has an interquartile range of 35?

(A) Collection 1 Box Plot

0 10 20 30 40 50 60 70

(B) Collection 1 Box Plot

0 10 20 30 40 50 60 70

(C) Collection 1 Box Plot

0 10 20 30 40 50 60 70

(D) Collection 1 Box Plot

0 10 20 30 40 50 60 70

2010–2011 1 GO ON Clark County School District Revised 08/02/2011 Pre-Algebra 2010–2011 Semester 2 Exam — Released

9. The stem-and-leaf plot shows the price of 6. The box-and-whisker plot represents the ten different pairs of shoes. test scores in an English class. Shoe Prices 1 9 60 70 80 90 100 2 7 7 9 3 1 7 English Test Scores 4 6 7 5 1 8 What percent of the students scored at least 70%? Key: 2|7 = $27

(A) 20% What is the median price of the shoes? (B) 25% (A) $27 (C) 50% (B) $31 (D) 75% (C) $34 (D) $39 7. The chart shows prices for two different fruits. The pattern of prices continues for heavier bags of each fruit. 10. This question obsolete as of 2011–2012. See new test specifications and practice Fruit Prices questions. Bag Weight Apples Oranges 1 lb $1.50 $2.00 11. This question obsolete as of 2011–2012. 2 lb $2.75 $3.50 See new test specifications and practice 3 lb $4.00 $5.00 4 lb $5.25 $6.50 questions.

What is the price of a 7-pound bag of oranges?

(A) $8.50 (B) $9.25 (C) $11.00 (D) $11.50

12. The Venn diagram represents three lunch 15. What is 30% of 120? choices. (A) 25 Pizza Salad (B) 36 (C) 40 35 15 10 (D) 3600 25 30 5 16. This question obsolete as of 2011–2012. See new test specifications and practice 20 questions.

Juice 17. 75 is 60% of what number? (A) 15 How many students bought both pizza and a salad? (B) 45 (C) 80 (A) 15 (D) 125 (B) 25

(C) 40 18. This year the price of a yearbook increased (D) 45 from $40 to $50. What is the percent of increase in the cost of the yearbook? 13. Joe flips a coin and then rolls a number (A) 10% cube. What is the probability that the outcome will be heads and a number (B) 25% greater than 4? (C) 80% 1 (D) 125% (A) 6 1 (B) 4 3 (C) 8 5 (D) 6

19. John bought a cell phone for 20% off the 22. Which relation is a function? original price of $180. What is the sale price of the cell phone? y

(A) $36 (A) x (B) $90 (C) $144 (D) $160 (B) –1 20. A student deposited $1200 in a savings 0 account that earned 7.5% simple interest. 2 1 3 Interest = principal × rate × time 2 What was the balance at the end of 2 4 years? (C) {(1, 2) ,( 2, 1) ,( 3, 0) ,( 3, 4)} (A) $180 x3639y3456 (B) $1380 (D) (C) $1800 (D) $1920 23. What is the domain of the relation below?

21. {(-2, 3) ,( - 1, 0) ,( 0, - 1) ,( - 1, 4)}

(A) {–2, –1, 0, 3, 4} (B) {–2, –1, 0, 3} (C) {–1, 0, 3, 4} (D) {–2, –1, 0}

24. For which equation is the set of ordered pairs a solution?

{(1, 2) ,(- 1, - 6) ,( 0, - 2) ,( - 2, - 10)}

(A) y= -3 x + 4 (B) y= x - 2 (C) y=2 x - 6 (D) y=4 x - 2

25. Identify the ordered pairs that represent the 28. What is the slope of the line that passes x-intercept and the y-intercept of the graph through the points (9, 7) and (12, 7) ? of the equation 3x- 9 y = 18 .

y2- y 1 (A) (-2,0) and (0,6) m = x2- x 1 (B) (2,0) and (0,6) (A) 0 (C) (6,0) and (0,- 2) 2 (B) 5 (D) (6,0) and (0,2) 5 (C) 26. What is the slope of the line graphed 2 below? (D) Undefined y 10 29. A puppy was born weighing 4 pounds and gains 3 pounds each month. Which line best represents the growth of the puppy? 5 s

d Puppy Growth n u

o  p

-10 -5 5 10 x n i

 t

h D C B A

g  -5 i e  W  -10    3 (A) -  2   2        (B) - 3 Number of months 2 (C) (A) line A 3 (B) line B 3 (D) (C) line C 2 (D) line D 27.

(D) y 30. Which graph represents the given equation 10 1 y= - x + 3? 4 5

(A) y -10 -5 5 10 x 10 -5

-10 -5 5 10 x 31. -5

(B) y 10

-10 -5 5 10 x -5

(C) y 10

-10 -5 5 10 x -5

32. Identify the slope and y-intercept of the line with the given equation:

3 y= x - 3 5

3 (A) m = , b = -3 5 3 (B) m = , b = 3 5 3 (C) m = 3 , b = 5 3 (D) m = -3 , b = 5

33. 233 is between what two whole numbers?

(A) 232 and 234 (B) 116 and 117 (C) 15 and 16 (D) 14 and 15

34. A right triangle is shown below. Find the value of x.

(A) 8 (B) 16 (C) 32 (D) 64

35. From her campsite, Jane bikes 5 miles 39. What is the distance between (5,- 2) and directly south, then 11 miles directly west. She takes a diagonal path back to her (2,- 1) ? campsite. Approximately how many miles does she travel on the diagonal path? 2 2 d=( x2 - x 1) +( y 2 - y 1 ) (A) 146 miles (A) 2 (B) 55 miles (C) 16 miles (B) 10 (D) 12 miles (C) 2 (D) 8 36. Which correctly orders the numbers from least to greatest? 40. An isosceles triangle has a perimeter of 26 inches. The length of the base is 1 16 6 inches. What are the lengths of the other (A) - - 9 3.5 2 2 two sides? 1 16 (A) 6 inches, 6 inches (B) - - 9 3.5 2 2 (B) 6 inches, 14 inches 1 16 (C) 8 inches, 12 inches (C) - 9 - 3.5 2 2 (D) 10 inches, 10 inches 1 16 (D) - 9 - 3.5 2 2 41. The ratio of the angle measures in a triangle is 7:3:2. Classify the triangle by its angle measures. 37. The endpoints of a line segment are (-5, 12) and (15,- 4) . What are the (A) acute coordinates of the midpoint? (B) equiangular (C) obtuse 骣x+ x y + y M = 琪1 2 , 1 2 桫 2 2 (D) right

(A) (5, 4) 42. A quadrilateral has two pairs of parallel sides. Which name best classifies this (B) (7, 11) figure?

(C) (-10, 8) (A) hexagon

(D) (-20, 16) (B) parallelogram (C) pentagon 38. (D) trapezoid

43. What is the value of x in the figure below? 47. What is the surface area of the cylinder below? (3x)º SA=2p rh + 2 p r 2 110º

12cm xº 5cm (A) 40 (B) 50 (C) 120 (A) 60π cm2 (D) 150 (B) 84π cm2 44. What is the area of the parallelogram (C) 132π cm2 below? (D) 168π cm2 16 m 48. What is the volume of the rectangular 10 m 8 m prism shown below?

(A) 160 m2 (B) 128 m2 4 cm (C) 64 m2 5 cm 7 cm (D) 52 m2 (A) 83 cm3 45. What is the area of the circle shown (B) 140 cm3 below? (C) 166 cm3 (D) 280 cm3 8 ft 49. A rectangular-shaped room has a length of 15 ft and a width of 12 ft. If the length is

2 increased 3 ft, how much does the (A) 8π ft perimeter of the room increase? (B) 16π ft2 (A) 3 ft (C) 32π ft2 (B) 6 ft (D) 64π ft2 (C) 12 ft 46. (D) 36 ft

50. Which expression is a binomial? 55. What are the next three terms in the sequence? (A) x + 2 1 1 (B) 2x ,- , 1, - 2, ... 4 2 x (C) 2 (A) 4, 6, 8 (D) x2 (B) 4, –6, 8 (C) 4, –8, 16 51. Find the sum. (D) –4, –8, –16 (5x+ 9) +( 2 x - 3) 56. Two angles are supplementary. The measure of the first angle is four times (A) 7x + 12 greater than the measure of the second (B) 7x + 6 angle. What is the measure of the larger (C) 3x + 12 angle? (D) 3x + 6 (A) 144º (B) 72º 52. Find the product. (C) 36º 6m( 4 m - 5) (D) 18º

(A) 24m - 5 57. Parallel lines m and n are cut by (B) 24m2 - 5 transversal t. Which statement is always true? (C) 24m2 - 30 m (D) 24m2 - 30 t 1 2 3 4 m 53. What are the next three terms in the sequence? 5 6 7 8 n 13, 9, 5, 1, …

(A) –4, –8, –12 (A) 蠤5 6 (B) –3, –7, –11 (B) 蠤3 6 (C) –2, –6, –10 (C) 蠤2 4 (D) –1, –5, –9 (D) 蠤1 7

58. Parallel lines m and n are cut by transversal t. What is the measure of A ?

115° n

(A) 65º (B) 75º (C) 95º (D) 115º

59. A student dilates the given triangle by a scale factor of 2. What ordered pair describes the location of point B after the dilation? y 5

-5 5 x C B

(A) (0, 1)

(B) (0, 4)

骣 1 (C) 琪1,- 桫 2 (D) (4,- 2)

2010–2011 11 GO ON Clark County School District Revised 08/02/2011 Pre-Algebra 2010–2011 Semester 2 Exam — Released Free Response

60. The data below shows the total points scored by two football teams.

Team A: 3 6 13 14 14 14 15 17 20 20 24 27 28 28 31

Team B: 3 6 7 9 10 10 12 14 17 20 21 24 24 28 35

(a) Use the number line to create a box-and-whisker plot for each set of data. Label each plot. Identify all key points by name and give their numerical values. (b) Using the graphs you created, which team had higher scores overall? Explain your thinking.

61. Maria is joining a music club on the internet. The initial cost to join is $10.00. Each song costs $1.50 to download.

(a) Make a table of values that shows the relationship between the number of songs purchased (n) and total cost (c). (b) Write and graph an equation that shows this relationship. What is the maximum number of songs you could purchase if you have $20.00 to spend? (c) Explain what the y-intercept and the rate of change represent.

62. Plane X traveled 15 miles west then 20 miles due north. Plane X then flies on a diagonal path directly back to its starting point.

(a) Draw and label a diagram of the plane’s route. Determine the distance of the diagonal path the plane traveled. Show your work. (b) Plane Y followed a similarly-shaped route. If Plane Y traveled 9 miles due west: i. Find the distance the plane traveled north. ii. Find the diagonal distance Plane Y traveled back to its starting point.

2010–2011 3 GO ON Clark County School District Revised 08/02/2011