GRADE 8. Mathematics. Part A

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1 GRADE 8 Mathematics Part A

2 DIRECTIONS Read each question carefull. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on our answer document. 1 The graph below shows the balance remaining on Jason s loan after he makes each pament. Jason s Loan Balance 2,100 1,800 Balance emaining 1,500 1, Number of Paments Made x Based on this graph, what will be the balance remaining on Jason s loan after he makes the 12th pament? A $750 B $150 C $450 D $300 Page 2 228

3 2 Triangle PQR is similar to triangle XYZ. Q 4 in. 6 in. P 9 in. R Y 6 in. 9 in. X Z What is the length of XZ? F 11 in. G 13.5 in. H 9 in. J in. 3 The expression below describes an arithmetic sequence of numbers. 9 4n If n represents the position of a term in the sequence, which of the following sequences of numbers could this expression describe? A 4, 3, 2, 1, 0,... B 5, 10, 15, 20, 25,... C 5, 1, 3, 7, 11,... D 13, 17, 21, 25, 29,... Page 3 229

4 4 The diagram below represents the side view of a bike ramp. x 6 in. 26 in. Which of the following is closest to the value of x? F 27 in. G 32 in. H 25 in. J 20 in. 5 Which numbers from this list are less than 0.94? 15, 0.24, 2.23, 97%, 2 2, A 15, 2.23, and B 2.23, 2 2, and C 0.24, 15, and D 15, 0.24, and Page 4

5 6 A square has a side length of 5 1 inches. This square is dilated b a scale factor of 4 to 2 5 create a new square. What is the side length of the new square? F in. G in. H in. J 5 in. Page 5

6 7 The total number of washcloths,, contained in x packages can be represented b the equation = 8x. Which of the following graphs best represents this situation? A x C x B x D x Page 6

7 8 A store sells a 5-pound bag of apples for $4.60. Which of the following is NOT an equivalent price per pound of apples? F A 20-pound bag for $18.40 G A 12-pound bag for $11.04 H A 7-pound bag for $6.44 J A 15-pound bag for $ A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below. Which of the following is closest to the distance from the top of the ladder to the base of the wall? A B C 9 ft 11 ft 6 ft D 14 ft Page 7

8 10 A compan conducts research to predict how a new advertisement affects sales of a product. The equation below can be used to determine n, the number of people who bu the product if r people read the advertisement. n = 0.08r + 7, 400 If 7,496 people bought the product last week, how man people read the advertisement? F 186,200 G 600 H 1,200 J 93,700 Page 8

9 11 The graph of a figure is shown below. x Which graph represents the reflection of this figure across the x-axis? A x C x B x D x Page 9

10 12 Ramona is walking 10,000 feet for a fund-raiser. She walks at a rate of 270 feet per minute. This situation is modeled b the equation below, where d represents the remaining number of feet Ramona has to walk and t represents the number of minutes she has alread walked. d = 10, t Which table shows onl values that satisf this equation? t d t d 1 9, ,000 F 3 9,190 H 3 9, , , , ,570 t d t d 1 9, ,000 G 3 9,460 J 3 9, , , , ,190 Page 10

11 13 The graph below shows the number of books sold at a book fair in 5 das. 90 Book Sales Number of Books Sold Da Based on the graph, which statement is true? A The number of books sold on Da 3 was twice the number of books sold on Da 1. B The number of books sold on Da 5 was half the number of books sold on Da 2. C The number of books sold on Da 5 was about 93% of the number of books sold on Da 4. D The number of books sold on Da 1 was about 12% of the number of books sold on Da 3. Page 11

12 14 There are four students working on an assignment in a class. Mike has completed 1 of the 9 assignment, Gwen has completed 11% of the assignment, Jorge has completed 0.12 of the assignment, and Tai has completed 1 of the assignment. Which of the following lists the 8 students in order from least to greatest b the amount of the assignment the completed? F Gwen, Mike, Jorge, Tai G Tai, Jorge, Mike, Gwen H Gwen, Jorge, Mike, Tai J Tai, Mike, Gwen, Jorge 15 A water heater has a diameter of 18 inches. It sits in a drain pan that has a diameter of 22 inches and a height of 2 inches, as modeled in the diagram below. 18 in. Top View of Water Heater Inside Drain Pan Water heater Water heater Drain pan Drain pan 2 in. 22 in. Water that leaks out of the water heater sits in the drain pan. Which of the following is closest to the maximum amount of water that the drain pan can contain with the water heater in the position shown? A 13 in. 3 B 1,005 in. 3 C 251 in. 3 D 50 in. 3 Page 12

13 16 Which equation best describes a relationship between x and in the table below? x F = 3x + 5 G = 1 x H = 1 x J = x The average distance from Earth to the sun is about miles. The average distance from Mars to the sun is about miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth? A 79,000,000 mi B 47,000,000 mi C 107,000,000 mi D 233,000,000 mi Page 13

14 18 The two triangular prisms shown below are similar. 8 cm 10 cm 4.8 cm x 16.8 cm What is the value of x, the height of the larger prism? F 6.8 cm G 4 cm H 6 cm J 7.2 cm 19 Pentagon PQRST below models one side of a building. R Q S P T The sum of the interior angles of the pentagon is 540, the measure of angle R is 100, and Q S. What is the measure of Q? A 92 B 130 C 108 D Not here Page 14

15 20 Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. Which of the following is the best estimate of the volume of this cone? F 60 in. 3 G 30 in. 3 H 180 in. 3 J 90 in Parallelogram PQRS is similar to parallelogram WXYZ. Z Y S 3 units R 5 units 7 units P Q W X What is the length of YZ? A 3 units B 11 2 units 3 C 5 units D 4 1 units Page 15

16 22 The scatterplot below shows movie theaters with different numbers of screens and their average weekl attendance. Movie Attendance Number of Screens x Based on the trend in the scatterplot, approximatel how man people will be in attendance at a movie theater with 8 screens? F 90 G 105 H 85 J 140 Page 16

17 23 A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between, the height of the candle in inches, and x, the number of hours the candle burns? A = 2x + 7 B C = 7 2x = 2 7x D = 7x A hotel charges guests $19.75 a da to rent 5 video games. At this rate, which expression can be used to determine the charge for renting 9 video games for 1 da at this hotel? F (9) 5 G (9) H (9) 5 J (9) Page 17

18 25 A store manager discounted the prices of several items during a sale. The original price and the sale price of each item are shown in the table below. Store Sale Original Price Sale Price $30 $24 $40 $32 $50 $40 $60 $48 $70 $56 Based on the data in the table, what would be the sale price of an item that had an original price of $85? A $79 B $64 C $68 D $71 26 Jake has two summer jobs. The table below shows how man hours he worked at the two jobs last week and his total earnings from each. Hours Jake Worked and His Earnings Job Hours Worked Last Week Total Amount Earned Last Week Cashier 9 $81.00 Grocer stocker 12 $ This week Jake is scheduled to work 11 hours as a cashier and 17 hours as a grocer stocker. Based on the information in the table, what will be the total amount he earns from the two jobs if he works all the scheduled hours this week? F $ G $ H $ J $ Page 18

19 27 The water levels of five Texas lakes were measured on the same da in The table below shows the number of feet above or below normal level for each lake. Water Levels of Texas Lakes Lake Number of Feet Above or Below Normal Level Conroe 0.10 Amistad 2.65 Richland Chambers 0.16 Possum Kingdom 1.43 Travis 0.07 Which list shows the numbers in the table from greatest to least? A 2.65, 1.43, 0.16, 0.10, 0.07 B 0.16, 0.10, 0.07, 1.43, 2.65 C 0.16, 0.10, 0.07, 2.65, 1.43 D 2.65, 1.43, 0.07, 0.10, An electrician charges $75 for the first hour of labor and $60 for each additional hour of labor. A customer calculates that the electrician charges $225 for a total of 3 1 hours of labor. Is the 2 customer correct? F Yes, because (75 3.5) 60 = 225 G No, because 60 + (75 3.5) = H Yes, because 75 + (60 2.5) = 225 J No, because (75 2.5) 60 = Page 19

20 29 The graph models the value of a machine over a 10-ear period. Value of a Machine 10 9 Va ue (thousands of dollars) x Age of Machine (ears) Which equation best represents the relationship between x, the age of the machine in ears, and, the value of the machine in dollars over this 10-ear period? A = 0.002x + 2,500 B = 500x + 8,000 C = 500x + 8,000 D = 0.002x + 2,500 Page Page 20

21 30 Which graph best represents the equation = 1.4x + 2? F x H x G x J x Page 21 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT.

22 GRADE 8 Mathematics Part B

23 31 A cooler was filled to the fill line. The fill line is 1 inch from the top. The cooler is in the shape of a right circular clinder with a height of 26 inches and a diameter of 16 inches, as shown below. After 6 hours the cooler was ¼ full. What was the average amount of ice water used each hour? Show our work or explain our thinking. Page 23

24 32 Part A On our answer document, draw a coordinate plane that uses onl Quadrant 1. Draw the x- axis. Label the x- axis with the numbers 0 through 10 (use increments of 1). Label the x- axis Time (minutes). Draw the - axis. Label the - axis with the numbers 0 through 1,000 (use increments of 100). Label the - axis Data Downloaded (megabtes). Part B On our coordinate plane, draw a graph using the following description: A computer is downloading a new program that has a total of 500 megabtes at a rate of 50 megabtes per minute. The computer alread has 200 megabtes of data that was downloaded from a previous program. Part C Write the equation of the graph. Part D Explain what our graph represents. Include in our response whether the graph is linear or nonlinear, a function or not a function, and increasing or decreasing. Page 24 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT.

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