Roster Last First Team Score 8 Practice Test

Roster #: _______Last ______________ First: ______________ Team: ______ Score 8. Practice Test -Target A: Number System 8 NS. 1 Know that numbers that are not rational are called irrational. 8 NS. 2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line. Show all work neatly. Please box your answers. A. B. C. D. 9 12 13 74 (7) Determine for each number whether it is a rational or irrational number. Number A. B. C. D. – 3π Rational Irrational

(8) This number line shows four points labeled A, B, C, and D. A 8 B D C 8. 5 (10) Select True or False to indicate whether each comparison is true. True 9 False Select True or False for each statement about the number line. Statement True False Interaction: Students will use Add Point tool to graph a point on a number line containing snap-to regions at every tic mark. Add Point and Delete tools should be provided. (9) Drag each expression to the number line to show the approximate value. 0 1 2 3 4 5 6 7 8 9 10 11 12 6 6. 5 7

Roster #: _______Team #_______Last ______________ First: ______________ Per _____ Practice Test – Target B: Integer Exponents and Scientific Notation Score 8. EE. 1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8. EE. 3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities. 8. EE. 4 Perform operations with numbers expressed in scientific notation. Show all work neatly. Please box your answers when necessary. (2) Enter the value of y for the equation 75 • 7 y = 713. (3) Select all possible values for x in the equation x 2 = 72. (5) Select all possible values for x in the equation x 3 = 24.

(9) Selena Gomez’s 2017 Coca Cola Instagram photo was receiving approximately 7. 3 x 10 Instagram likes per second. There are 8. 6 × 104 seconds in 1 day. What is the approximate number of likes her photo would have in one day? A. 6. 278 × 104 B. 6. 278 × 105 C. 6. 278 × 106 D. 6. 278 × 107 8. Target B Practice Test Pg. 2

Roster #: _______Last ______________ First: ______________ Team: ______ Practice Test Target C- Expressions and Equations 8. EE. 5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. 8. EE. 6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non‐vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Score Show all work neatly. Please box your answers. (1) The cost (c) for g number of gelato ice cream is shown in the table. Graph the proportional relationship between the number of gelatos purchased and the total cost. g c 2 8 5 20 6 24 8 32 (2) Pumpkin seeds cost $6. 00 per pound at the store. Make a T‐chart and graph the proportional relationship between the number of pounds of pumpkin seeds and the total cost. (4) This graph shows a proportional relationship between c the number of chairs and t the number of round tables. Which statement identifies the correct slope, and the correct interpretation of the slope for this situation? A. The slope of the line is 5/1, so the number of chairs is 1 for every 5 tables. B. The slope of the line is 5/1, so the number of chairs is 5 for every 1 table. C. The slope of the line is 1/5, so the number of chairs is 5 for every 1 table. D. The slope of the line is 1/5, so the number of chairs is 1 for every 5 tables. (5) The table shows the proportional relationship (3) The cost (c) for m Mc. Donald meals can be represented by the equation c = 5 m. Graph the proportional relationship between the number of Mc. Donald meals and the total cost. between the cost (c) of bus tickets and the number of bus tickets (b). Select the equation which shows a cost of bus ticket that is three times the cost of a bus ticket. A. B. C. D. c = 2 b c = 3 b c = 4 b c = 6 b b c 2 4 4 8 7 14 9 18

(8) This graph shows a proportional relationship between c the number of chairs and t the number of round tables. Enter an equation to represent the number of chairs after t the number of round tables. (7) Given ΔPQR with coordinates P(– 4, – 1), Q(– 4, – 5) and R(– 1, – 5). (9) Consider the line shown on the graph. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. The ordered pair (2, y) is on line PR. Enter the value of y for this ordered pair.

Roster #: _______Last ______________ First: ______________ Team: ______ 8. Target D (Part 1) Practice Test 8. EE. 7 Students can solve linear equations in one variable. Score You must show all work NEATLY and box your answers to receive credit. Directions: Choose a number for each box that would create an equation that has one solution. A B (1) 3(x – 5) – 2 x = x + (3) Select all equations that have no solution. A. B. C. D. 1 A) Enter the value for A here 1 B) Enter the value for B here Directions: Choose a number for each box that would create an equation that has no solution. A (2) 4(2 x – 3) + x = x + 2 A) Enter the value for A here 2 B) Enter the value for B here B – 18 – 6 x = 6(1 + 3 x) 24 x – 22 = – 4(1 – 6 x) 12 + 2 x = –(x +2) + 3 x 3 x + 2 = 6 x + 2

(5) You are solving the following linear equation Directions: Choose a number for each box that would create an equation that has infinitely many solutions: A 12 + 2 x – 6 = 8 x + 6 – 5 x B (7) 2(6 x + 4) – 5 x = x + You began solving the equation and got: 6 + 2 x = 3 x + 6 Select the statement that correctly interprets your solution. A. There is no solution. B. The solution is the ordered pair (2, 3). C. There are infinitely many solutions. D. The solution is x = 0. 7 A) Enter the value for A here 7 B) Enter the value for B here (6) Select all equations that have infinitely many solutions. A. B. C. D. 2(6 x – 2) = – 4(– 3 x + 1 ) – 4 x – 9 = 9(x – 1) – 5 x 4 + 7 x – 9 = x + 2(3 x + 4) – 13 6 x – 2(2 x – 7) = 2 x + 7 8. Target D (Part 1) Practice Test Page 2

Roster #: _______Last ______________ First: ______________ Team: ______ Target D (Part 2) Practice Test 8. EE. 8 Analyze and solve pairs of simultaneous linear equations. Show all work neatly. Please box your answers. (1) Enter the x coordinate of the solution to this system of equations. 3 x + 2 y = 12 2 x – 3 y = – 57 (2) You have $20 and are able to save $15. 50 a month. Your friend has $88 and is able to save $7 a month. Enter the number of months it will take for you and your friend to save the same amount of money. Score (3) A system of two linear equations has no solution. One equation is 2 x + y = – 6. Select the equation that would make this system have no solution. A. B. C. D. 4 x + 2 y = – 12 2 x – y = – 6 x + 2 y = 6 2 x + y = 4 (4) Enter the y coordinate of the solution to this system of equations. x + 2 y = 10 x – 3 y = 0

(5) The graph of x – 2 y = – 6 is shown. Use the Add Arrow tool to graph the equation y = – 2 x + 8 on the same coordinate plane. Use the Add Point tool to plot the solution to this system of linear equations. (6) Select the statement that correctly describes the solution to this system of equations. 3 x – 4 y = – 12 2 x – 2 y = – 4 A. There are infinitely many solutions. B. There is exactly one solution at (– 4, 0). C. There is no solution. D. There is exactly one solution at (4, 6). Total Cost ($) (7) The graph shown compares the total cost of having a party at two venues, Venue A and Venue B. 500 450 400 350 300 250 200 150 100 50 0 B A 10 20 30 40 50 60 70 80 90 100 110 Number of people How many people would need to attend the party in order for the total cost to be the same for both venues? 8. Target D (Part 2) Practice Test Page 2

Roster #: _______Last ______________ First: ______________ Team: ______ Target G Practice Test: Transformations 8. G. 1 Verify experimentally the properties of rotations, reflections, and translations. 8. G. 3 Describe the effect of dilations, translations, rotations, and reflections on two‐dimensional figures using coordinates. Score You must show all work NEATLY and box your answers to receive credit. (1) Line segment DE is translated right 5 units and up 4 units to form line segment D’E’. Enter the distance, in units, between point D’ and point E’. D’ D (3) Triangle ABC is reflected across the x‐axis and then translated right 8 units to form triangle A’B’C’. Select True or False for each statement. E’ E B A C C’ A’ Statement B’ True False Side A’B’ is the same length as AC. Angle A has the same measure as angle A’. Side A’B’ is longer than side AB. (2) The figure on the coordinate plane is reflected across the y‐axis. Use the Connect Line tool to draw the resulting image of the figure. (4) Line segment XY begins at (– 7, 2) and ends at (– 7, – 9). The segment is translated right 5 units and down 3 units to form line segment X′Y′. Enter the length, in units, of line segment X′Y′.

(5) Consider this figure. Select True or False for each statement about the sequences of transformations that can verify that triangle ABC is congruent to triangle A’B’C’. (7) Triangle ABC was created by joining points A(– 6, 8), B(– 8, 4), and C(– 4, 4) with line segments. Triangle ABC is reflected over the x‐axis and then reflected over the y ‐axis to form the triangle where x, y, and z represent the lengths of the sides of the triangle. A A C B B C C’ A’ z B’ Statement x True y False Click in the table to show which side lengths are equal. Triangle ABC is translated 8 units to the right, followed by a reflection across the x‐axis. x Triangle ABC is reflected across the y‐axis, followed by a translated 8 units to the right. AC AB Triangle ABC is reflected across the x‐axis and then the y‐axis. BC (6) Triangle ABC is reflected across the y‐axis, and dilated by a scale factor of 3, with the origin as the center of the dilation. Click the numbers to give the coordinates of vertices A’B’C’. Target G Practice Test Page 12 y z

Roster #: _______Last ______________ First: ______________ Team: ______ Target H Practice Test: Pythagorean Theorem 8. G. 7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. 8. G. 8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. Score You must show all work NEATLY and box your answers to receive credit. (1) The points show different locations in Jane’s town Each unit represents 1 mile. Library Gas Station (3) The table shows the side lengths for some triangles Determine whether the side lengths define a right triangle. Select Yes if it is a right triangle. Select No if it cannot be a right triangle. Triangle Side Lengths Park 8 m, 15 m, 17 m 5 in, 7 in, 12 in Market School What is the distance, in miles, between the School and the Park? Round your answer to the nearest tenth. (2) A right triangle is shown. Enter the value of x. Round to the nearest tenth. x 3 5. 4 7 ft. , 24 ft. , 25 ft. Yes No

(4) What is the distance between points (2, 5) and (– 3, – 7) on the coordinate plane? A. B. C. D. (6) A coordinate plane is shown with labeled points. 9 11 13 14 What is the distance between point A and point B on the coordinate plane? A. B. C. D. (5) A right square pyramid is shown. The height of the pyramid is 15 units. The distance from the center of the base of the pyramid to vertex D is 8 units, as shown. 4 5. 8 6. 4 7 (7) A 25‐foot ladder is leaning on a tree. The bottom of the ladder is on the ground at a distance of 7 feet from the base of the tree. The base of the tree and the ground form a right angle as shown. Enter the distance between the ground and the top of the ladder, x, in feet. 15 8 25 Enter the length of segment AD, in units. 7 Target H Practice Test Page 14

Roster #: _______Last ______________ First: ______________ Team: ______ Target I Practice Test: Volume Score 8. G. 9 Solve real world problems involving volume of cylinders, cones and spheres. You must show all work NEATLY and box your answers to receive credit. (1) A cone with radius 5 m and height 13 m is shown. 13 m (3) A baseball has a radius of 9 inches, as shown in the diagram. . 5 m 9 in Enter the volume of the cone, in cubic meters. Round your answer to the nearest hundredth. (2) This figure shows the dimension of a tanker truck. The tank forms a cylinder with a length of 12 feet and radius of 3 feet. 3 ft. 12 What is the volume, in cubic feet of the tank? Round your answer to the nearest hundredth. What is the volume in cubic inches, of the baseball? Round your answer to the nearest hundredth.

(4) A cone with radius 3 feet is shown. It’s approximate volume is 104 ft 3. (5) An ice cream cone has a 10 height of inches and a radius of 8 inches as shown. The ice cream completely fills the cone, as well as the half‐sphere above the cone. h ft 8 in 3 ft 10 in Enter the height of the cone, in feet. Round your answer to the nearest hundredth. 8. Target I Practice Test Page 2