Grade 8 Mathematics Test Booklet

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1 Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE

2 Unit Unit (Non-Calculator) Directions: Toda, ou will take Unit of the Grade Practice Test. You will not be able to use a calculator. Read each question. Then, follow the directions to answer each question. Mark our answers b completel filling in the circles in our answer document. Do not make an pencil marks outside of the circles. If ou need to change an answer, be sure to erase our first answer completel. If a question asks ou to show or explain our work, ou must do so to receive full credit. Onl responses written within the provided space will be scored. If ou do not know the answer to a question, ou ma go on to the next question. If ou finish earl, ou ma review our answers and an questions ou did not answer in this unit ONLY. Do not go past the stop sign.

3 Directions for Completing the Answer Grids. Work the problem and find an answer.. Write our answer in the boxes at the top of the grid.. Print onl one number or smbol in each box. Do not leave a blank box in the middle of an answer.. Under each box, fill in the circle that matches the number or smbol ou wrote above. Make a solid mark that completel fills the circle.. Do not fill in a circle under an unused box.. Fractions cannot be entered into an answer grid and will not be scored. Enter fractions as decimals.. See below for examples on how to correctl complete an answer grid. EXAMPLES.\\\\\\.....»» To answer in a question, fill in the answer grid as shown below. To answer. in a question, fill in the answer grid as shown below..»\\\\\..... \»». Unit

4 Unit. Which of these equations represent functions where x is the input and is the output? Select each correct answer. x = = x = = x E. x + =. Solve this equation for x. (. x) = (x + ) Enter our answer in the box.

5 . The graph shows as a function of x. Unit x For which intervals is the function decreasing? Select all that appl. E. F. < x < < x < < x < < x < < x < < x <

6 Unit. Which statement best describes the value of? The value of is between and.. The value of is between. and. The value of is between and.. The value of is between. and.. Which equation has both and as possible values of? = = = =. A sstem of equations is shown. x = x + = In the sstem of equations, what is the value of? Enter our answer in the box.

7 . Which equations define as a nonlinear function of x? Select all that appl. Unit =. x = x + = x = x E. = x F. = x +

8 Unit. Consider the sstem of equations. = x + = x + Which statements are true about the sstem of equations? Select each correct answer. E. F. The graph of the sstem consists of lines that have no points of intersection. The graph of the sstem consists of lines that have exactl one point of intersection. The graph of the sstem consists of lines that have more than one point of intersection. The sstem has no solution. The sstem has exactl one solution. The sstem has more than one solution.. Which decimal is the equivalent of?....

9 . Unit C D K J A B E F P - - H - - M G - N L x Seven line segments are shown on the coordinate plane. Which of these segments could be the image of segment of reflections, rotations, and/or translations? Select each correct answer. AB after a sequence E. F. line segment CD line segment EF line segment GH line segment JK line segment LM line segment NP

10 Unit Use the information provided to answer Part A and Part B for question. Three congruent figures are shown in the coordinate plane x. Part A Which statement describes a possible sequence of transformations that transforms figure into figure? a reflection across the x-axis, followed b a translation units to the left a reflection across the x-axis, followed b a translation units to the right a rotation clockwise about the origin, followed b a translation units to the left a rotation clockwise about the origin, followed b a translation units to the right

11 Part B Figure can also be created b transforming figure with a sequence of two transformations. Unit Which statement describes a possible sequence of transformations that transforms figure into figure? a rotation clockwise about the origin, followed b a translation units to the left a rotation clockwise about the origin, followed b a reflection across the x-axis a rotation clockwise about the origin, followed b a reflection across the -axis a rotation clockwise about the origin, followed b a translation units to the right

12 Unit. The graph represents as a function of x x Which additional point can be plotted so that the graph continues to represent as a function of x? (,) (, ) (, ) (, )

13 . Which expressions are equivalent to Select all that appl.? Unit E. F.

14 Unit. The equation of line s is = x. The equation of line t is = x +. The equations of lines s and t form a sstem of equations. The solution to the sstem of equations is located at point P. Which graph correctl shows line s, line t, and point P? s s P x t P x t s s P x t P x t

15 Unit GO ON TO NEXT PAGE

16 Unit. A scatter plot is shown on the coordinate plane.

17 Which of these most closel approximates a line of best fit for the data in the scatter plot? Unit. The bod of a -pound person contains approximatel milligrams of gold and milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the bod is how man times the number of milligrams of gold in the bod? Enter our answer in the box. STOP

18 Unit STOP You have come to the end of Unit of the test. Review our answers from Unit onl. Then, close our test booklet and answer document and raise our hand to turn in our test materials. STOP

19 Unit STOP

20 Unit (Calculator) Unit Directions: Toda, ou will take Unit of the Grade Practice Test. You will be able to use a calculator. Read each question. Then, follow the directions to answer each question. Mark our answers b completel filling in the circles in our answer document. Do not make an pencil marks outside of the circles. If ou need to change an answer, be sure to erase our first answer completel. If a question asks ou to show or explain our work, ou must do so to receive full credit. Onl responses written within the provided space will be scored. If ou do not know the answer to a question, ou ma go on to the next question. If ou finish earl, ou ma review our answers and an questions ou did not answer in this unit ONLY. Do not go past the stop sign.

21 Directions for Completing the Answer Grids. Work the problem and find an answer.. Write our answer in the boxes at the top of the grid.. Print onl one number or smbol in each box. Do not leave a blank box in the middle of an answer.. Under each box, fill in the circle that matches the number or smbol ou wrote above. Make a solid mark that completel fills the circle.. Do not fill in a circle under an unused box.. Fractions cannot be entered into an answer grid and will not be scored. Enter fractions as decimals.. See below for examples on how to correctl complete an answer grid. EXAMPLES.\\\\\\.....»» To answer in a question, fill in the answer grid as shown below. To answer. in a question, fill in the answer grid as shown below..»\\\\\..... \»». Unit

22 . A solution is % bleach. Which graph represents the number of liters of bleach,, contained in x liters of solution? Unit Number of Liters of Bleach Number of Liters of Bleach Number of Liters of Solution x Number of Liters of Solution x Number of Liters of Bleach Number of Liters of Bleach Number of Liters of Solution x Number of Liters of Solution x

23 Use the information provided to answer Part A and Part B for question. Filipo is building a rectangular sandbox for his ounger brother. The length of the sandbox is foot longer than twice the width of the sandbox. The perimeter of the sandbox is feet.. Part A Which equation could be used to determine w, the width, in feet, of the sandbox? Unit w + w + = w + w + = w + ( w + ) = w + (w + ) = Part B What is the width, in feet, of the sandbox? Enter our answer in the box.

24 . The gasoline mileage for two cars can be compared b finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car M traveled using x gallons of gasoline. The graph shows the distance,, that car P traveled using x gallons of gasoline. Car M Car P Unit Amount of Gasoline (gallons) Distance (miles).... Distance (miles) Amount of Gasoline (gallons) x Based on the information in the table and the graph, compare the approximate miles per gallon of car M to car P. Show our work or explain our answer. Enter our answer and our work or explanation in the space provided.

25 Use the information provided to answer Part A and Part B for question. The figure shows line RS parallel to line UV. The lines are intersected b transversals. All lines are in the same plane. R S Unit T U V. Part A Explain wh triangle RTS is similar to triangle VTU. Enter our explanation in the space provided. Part B Given that m STV =, determine m SRT + m TUV. Show our work or explain our answer. Enter our answer and our work or explanation in the space provided.

26 Use the information provided to answer Part A through Part D for question. Line t is shown in the coordinate plane. Unit t x. Part A What is the slope of line t?

27 Part B What is the -intercept of line t? Unit Part C Line s (not shown) has the same slope and passes through the point (, ). Which table represents points on line s? x x x x

28 Part D Which equation could represent line s? = x + Unit = x + = x + = x +

29 Use the information provided to answer Part A through Part C for question. Martin is considering the expressions ( x + ) and x + ( x + ). He ( ) wants to know if one expression is greater than the other for all values of x.. Part A Unit Which statement about the relationship between the expressions is true? The value of the expression (x + ) the expression ( x ) + ( x + ). The value of the expression (x + ) the expression ( x ) + ( x + ). The value of the expression (x + ) of the expression ( x ) + ( x + ). is alwas equal to the value of is alwas less than the value of is alwas greater than the value The value of the expression (x + ) is sometimes greater than and sometimes less than the value of the expression ( x ) + ( x + ). Part B Show or explain how ou found our answer to Part Enter our work or our explanation in the space provided. Part C Write a new expression that alwas has a greater value than both of these expressions. Enter our expression in the space provided. STOP

30 Unit STOP You have come to the end of Unit of the test. Review our answers from Unit onl. Then, close our test booklet and answer document and raise our hand to turn in our test materials. STOP

31 Unit STOP

32 Unit (Calculator) Directions: Toda, ou will take Unit of the Grade Practice Test. You will be able to use a calculator. Read each question. Then, follow the directions to answer each question. Mark our answers b completel filling in the circles in our answer document. Do not make an pencil marks outside of the circles. If ou need to change an answer, be sure to erase our first answer completel. If a question asks ou to show or explain our work, ou must do so to receive full credit. Onl responses written within the provided space will be scored. If ou do not know the answer to a question, ou ma go on to the next question. If ou finish earl, ou ma review our answers and an questions ou did not answer in this unit ONLY. Do not go past the stop sign. Unit

33 Directions for Completing the Answer Grids. Work the problem and find an answer.. Write our answer in the boxes at the top of the grid.. Print onl one number or smbol in each box. Do not leave a blank box in the middle of an answer.. Under each box, fill in the circle that matches the number or smbol ou wrote above. Make a solid mark that completel fills the circle.. Do not fill in a circle under an unused box.. Fractions cannot be entered into an answer grid and will not be scored. Enter fractions as decimals.. See below for examples on how to correctl complete an answer grid. EXAMPLES.\\\\\\.....»» To answer in a question, fill in the answer grid as shown below. To answer. in a question, fill in the answer grid as shown below..»\\\\\..... \»». Unit

34 Use the information provided to answer Part A and Part B for question. The figure shows a right-circular clinder and a right-circular cone. The clinder and the cone have the same base and the same height. r = ft r = ft h = ft h = ft. Part A What is the volume, in cubic feet, of the cone? π π π π Part B What is the ratio of the cone s volume to the clinder s volume? Unit

35 . In ABC, BD is perpendicular to A The dimensions are shown in centimeters. B A D C What is the length, in centimeters, of AC? Enter our answer in the box. Unit

36 . Relationship A is defined b the equation = x. Some values of relationship B are shown in the table. Relationship B x.. Both relationships represent a direct proportion between x and. The rate of change of relationship B is how man units greater than the rate of change of relationship A?.... Unit

37 . Two utilit companies sell electricit in units of kilowatt-hours. The cost of electricit for compan P is shown in the table. The cost of electricit for compan M can be found b using the equation shown, where represents the total cost in dollars for x kilowatt-hours of electricit. Electricit Costs Compan P Number of Kilowatt-hours Total Cost (dollars) Compan M =.x,,.. Use the information provided to find the unit rate, in dollars per kilowatt-hour, for each compan. Show our work or explain our answers. Find the total cost, in dollars, of buing, kilowatt-hours of electricit from the least expensive compan. Enter our answers and our work or explanation in the space provided. Unit

38 Use the information provided to answer Part A and Part B for question. In a sstem of two linear equations, the lines represented b each equation have the same slope.. Part A Which could be the total number of solutions to the sstem of equations? Select each correct answer. E. no solutions solution solutions solutions infinitel man solutions Part B Explain wh ou chose our answer(s) in Part Enter our explanation for each selection in the space provided. Unit

39 . Line t and ECA and FDB are shown on the coordinate plane. E A F D C B t x Which statements are true? Select all that appl. The slope of AC is equal to the slope of B The slope of AC is equal to the slope of B The slope of AC is equal to the slope of line t. The slope of line t is equal to EC. AE Unit E. The slope of line t is equal to FB. FD F. The slope of line t is equal to AE. FD

40 Use the information provided to answer Part A and Part B for question. The owner of a computer store is offering a discount on a computer sold in the store. Computer Sale Original Price: $. % off original price % tax applied after discount. Part A The owner offers a pament plan where the total cost of the computer is paid in equal monthl paments. Determine the amount of each monthl pament. Show our work or explain our answer. Enter the monthl pament and our work or explanation in the space provided. Unit

41 Part B A different computer is advertised as % off of the original price. After the discount, the tax is $.. Determine the total price of this computer after the discount and tax are applied. Show our work or explain our answer. Determine the original price of this computer. Show our work or explain our answer. Enter our answers and our work or explanations in the space provided.. Function A is a linear function. Some values of Function A are shown in the table. Function A x Function B is a linear function with a -intercept of of. Which statement is true? and an x-intercept The slope of Function A is greater than the slope of Function B, and the -intercept of Function A is greater than the -intercept of Function The slope of Function A is less than the slope of Function B, and the -intercept of Function A is greater than the -intercept of Function Unit The slope of Function A is greater than the slope of Function B, and the -intercept of Function A is less than the -intercept of Function The slope of Function A is less than the slope of Function B, and the -intercept of Function A is less than the -intercept of Function STOP

42 STOP You have come to the end of Unit of the test. Review our answers from Unit onl. Then, close our test booklet and answer document and raise our hand to turn in our test materials. Unit STOP

43

44 P MTH MATHABO A B C D E Printed in the USA ISD

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