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1 Test Form 1A Write the letter for the correct answer in the blank at the right of each question. 1. W h a t is the fi-action w r i t t e n as a decimal? A C, 0.55 D W h a t is the value of the expression (-4)'^? F G L W h i c h of the following is 0.7 as a fraction in simplest form? A.. C. D Using exponents, w h a t is the simplified form of the expression F. 10^^ G. 10^^. 10^ I. 10' D 5. Using exponents, w h a t is the simplified form of the expression 6^ 6^? A. 6''. 6"' C. 36' D. 36'" Rory's garden is square i n shape. The length of one side of her garden is 5^ feet. W h a t is the area of her garden i n square feet? Express your answer using exponents. F. 10" G. 10^. 5' I W h a t is the simplified form of the expression (3x''J*? A. 9x'. 9x'^ C. 27A;' D. 27X'= W l i a t is the next t e r m i n the pattern 3^ = 9, 9"^ = 81, 8V = 6,561,...? F = ,561^ = 43,046,721 G. 324 X 1 = 324 I. 324 x 2 = o w is the expression 5 ^ w r i t t e n using a positive exponent? A. 3^. 5-* C. 15 "4 10. o w is the ii-action ^ w r i t t e n using a negative exponent? F. - 3 ^ G. -2'. 2 I D 11. W h a t is x 10 w r i t t e n i n standard form? A. 3,471, ,100 C D Course 3 Chapter I Real Numbers 13

2 NAME DATE PERIOD (continued) 12. I n one 24-hour day there are 86,400 seconds. W h a t is this number w i i t t e n i n scientific notation? F X 10* G x 10^. 864 x 10^' I. 864 x 1 0 ^ W h a t is the value of the expression below written in scientific notation? (2.5 X 10^)(3 X 10^) A. 750, x 10'' C. 7,500,000 D. 7.5 x 10«1.^. 14. W h a t is the value of the expression below w r i t t e n in scientific notation? (4.7 x 10^) - (2.8 X 1(P) F, 467, x 10^ G X 10^ I. 1.9 x 10^ The speed of light is approximately 3 x 10** meters per second, while the speed of sound is approximately 3.4 x 10^ meters per second. o w m a n y times faster is the speed of light t h a n the speed of sound? A. 9 X 10-', 9 x lo'' C. 9 X 10^ D. 9 x 10« W h a t is the solution of the equation y'^ = 64? F. 32 G or - 8 I Wliich point is closest to ^/29 on the number line? A. A A C D I I l» I I l» I 'I I I C.C. D To which set of numbers belong? F. rational G. integer. irrational I. whole W h i c h set of numbers is ordered from least to greatest? A. 2.82, V 8, V U, 3 -' C. { - \ ^, - V T?, - V ^, - \ ^ ". V 5, - V e, 2, - 3 D. { V i o, 4, ^/4, 1.5} W h a t is the value of ^8? F. 2 G I Course 3 Chapter I Real Numbers

3 Test, Form la (continued) 9. I n a contest, each finahst m u s t answer 5 questions correctly. Each question is w o r t h twice as m u c h as the question before it. The fifth question is w o r t h $1,600. o w much is the first question worth? A. $800. $400 C. $200 D. $ Solve each equation ;c - 2 = 22-8;c F. - 6 G I n - 12 = - 3n + 4 A C. all real numbers D m = Am + 14 F. all real numbers G I y - 3.r + 8 = 8-5y - 12 A C. n u l l set D (p + 2) = F. 32 G. 8. n u l l set I (2 - ij) = 0.2(q + 7) A C. 3 D. all real numbers The azell family has 4 children. M u r p h y is 1 year younger t h a n his older brother Michael. Keira is 2 years younger t h a n Murphy. Isabelle and Keira are twins. I f Michael is 8, how old is Isabelle? F G. 7 I Sarah and r y a n went shopping and spent a total of $ r y a n spent $15.50 less t h a n w h a t Sarah spent. o w much did r y a n spend? A. $ $31 C. $16 D. $ Course 5 Chapter 2 Equations in One Variable

4 NAME DATE PERIOD Write the letter for the correct answer in the blank at the right of each question. Translate each sentence into an equation. 1. The s u m of five times a number and 6 is - 2. A. -6n + 5 = - 2 C. 5n - (-6) = = - 2 D. 5n + (-6) = Three less t h a n one-half a number is 7 1. F. -^n + 2 = -71 G. 2n-\ = n = Solve each equation A C. 27 D OAw = 4.2 F. 105 G I = - 3 A C. - 4 D u; = 7w F. 4 G I = 16 A C. 28 D M a r i a n n a wants to buy a new tennis racket that costs $ She has $8 and plans to save $4.50 each week. o w m a n y weeks w i l l it take her to save the money? F. 24 weeks G. 15 weeks. 11 weeks I. 10 weeks 8. Course 3 Chapter 2 Equations in One Variable 37

5 (continued) 7. David is having his birthday party at a water pai'k. The park chai-ges $150 phis $10 per guest. The total cost of the party y can be represented by the equation y - lox W h a t does the slope represent? A. the number of guests. the cost to rent the water park C. the cost per guest D. David's age W h i c h equation, i n point-slope foim, passes through (3, - 1 ) and has a slope of 2? F. y + 1 = 2(x - 3). y + 1 = 2{x + 3) G. y - 1 = 2(x -I- 3) I. y - 1 = 2{x - 3) 8 9. W h a t are the x- and y-intercepts for the graph of 2.r - 5y = 10? A..x-intercept: - 5, j-intercept: 2..r-intercept: - 5, y-intercept: - 2 C. jc-intercept: 5, y-intercept: 2 D. j:-intercept: 5, y-intercept: Xavier has $20 more t h a n Sara. Their combined money totals $90. Wliich system of equations represents this situation? F. x + s = 90 G. X + s. X - s 90 I..s - x = 90 s +x = 20 X - s = 20 s-l-s = 20 x - s = 2Q W h i c h of the following is the solution of the system of equations shown? A. (2, 2) C. (2, - 2 ). (-2, 2) D. (-2, - 2 j 12. W h a t is the solution of the system of equations? y = X - 4 y = - 3 x y - J r 3 " X 11. D F. (3, - 1 ) G. (-3, 1), ( - 1, 3) I. (1, - 3 ) W h a t is the solution of the system of equations? y = X - 10 y = 2x + 5 A. (15, 25). (15, -25) C. (-15, -25) D. (-15, 25) Course 3 Chapter 3 Equations in Two Variables

6 Write the letter for the correct answer in the blank at the right of each question. 1. W h a t i.s the constant rate of change between the values of x and y in the table? X y A A C. D W h a t is the slope of the line that passes through the points A( 2, - 1 ) and D(3, 5)? F.I G. l I. 3. W h a t are three numbers that have a sum of 35 i f the greatest number is 14 more than the least number? A. 6, 7, 20. 5, 11, 19 C. 10, 11, 24 D. 1, 15, I 3 1 S 4. The costs of cookies at store A are shown i n the graph. The cost y for x cookies at store is represented by the equation y = 0.30x. Wliich of the following statements is true? F. The cookies at store A cost more. G. The cookies at store A cost $0.50 each.. The cookies at store cost $0.15 each I. The cookies at store cost more. 5. W h a t are the slope and y-intercept for the graph of y - 7x = 10? A. slope: 7, y-intercept: 10 C. slope: 7, y-intercept: 10. slope: 7, y-intercept: D. slope: - 7, y-intercept: Number of CooUes 6. W h i c h is the equation i n slope-intercept form for the graph of the line shown? F. y = - 3 x - 2. y = 3x - 2 G. y = - 3 x -f- 2 I. y = 3x -t- 2 Course 3 Chapter 3 Equations in Two Variables 61

7 (continued) 7. A plant is a certain height. The height of the plant is measured for several weeks. The graph shows the height of the plant for each week. W h i c h statement is true? J! J A. The plant grew 2 inches per week. J. The plant grew 0.5 inch per week. C. The initial height of the plant was 2 inches. D. The initial height of the plant was 4 inches Number of Weeks W l i a t is f(3) if fix) = 2x + 1? F. 4 G I W h a t is the domain of the relation ((-2, 4), (1, 3), (0, - 4 ), (3, 2)}? A. {-2,0,1,3} C. {0,1,2,41. {-4, - 2, 2, 3) D. {-4, 2, 3, 4} W h i c h equation represents the graph at the right? F. y = 2x^ -2. 3/ = jc^ - 2 G. y = -2x^ I. J = -x^ Student tickets cost $6.50 each, and adult tickets cost $9.50 each. W h i c h equation can be used to find the total cost of c of any number of student tickets t7 A. t = 6.5c C. t = 9.5c. c = 6.5^ D. c = 9.5t to a 12. The graph shows the amount of food Dan's bobwhite quails eat each week. W h i c h equation can be used to find the number of pounds y eaten after any number of weeks x? F. y = 150x G. y - 112x. y = 37.5x I. y = 75x o I ) 1 (3,225) -t nn'i \\ (5, 375) Time (weeks) Course 3 Chapter 4 Functions

8 Write the letter for the correct answer in the blank at the right of each question. 1. Miguel and Molly are cyclists. The graph shows the distance Miguel hiked one day. Molly hiked at a rate of 0.15 mile per minute. W h i c h statement about their speeds is true? A. Molly's speed was the same as Miguel's speed.. Molly's speed was gi-eater t h a n Miguel's speed. C. Miguel traveled 0.2 mile per minute D. Miguel traveled 5 miles per minute Number of Minutes W h a t i.s fl3) if fix) = ~4x + 1? F G I W h i c h table represents a nonlinear function? A. X C. X y y X D. X y y C 2 I 1 i 4. W h i c h function is graphed at the right? F. y = x + 2 G. y=x + 2. y = + 2 I. y = -2x W h i c h function matches the function table at the right? A. Ax) = X + 3. fix) - 2x C. f i x ) = 4x - 1 D. fix) = X + 2 X fix) Graphs that represent situations that m a y not have numerical values are called? F. linear G. nonlinear. qualitative I. quadratic 6. Course 3 Chapter 4 Functions 85

9 NAME DATE PERIOD (continued) 6. One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. W h a t is the length of the hypotenuse? Round to the nearest tenth i f necessary. F. 6.5 cm. 4.7 cm G. 6.4 cm cm 5.7 cm 3.2 cm o w far up on the playhouse is the baseball bat resting? Round to the nearest tenth i f necessary. A in in. C. 28 in. D. 5.3 in. 34 In. XL 6 in What is the distance between points A ( - 3, 4) and -2)? Round to the nearest tenth i f necessary. F units G. 6.1 units. 6.5 units I. 7.2 units 1 y (-^ 4) - 0 X e -( Which of the following could be the side measures of a right triangle? A. 6 fi, 5 ft, 4 ft C. 10 ft, 8 ft, 6 ft, 8 ft, 7 ft, 6 ft D. 12 ft, 10 ft, 8 ft W h i c h is the measures of an exterior angle of a regular octagon? F. 40". 50 G. 45 I W h a t is the sum of the interior angles of a regular pentagon? A- 90 C D Course 3 Chapter 5 Triangles and the Pythagorean Theorem

10 NAME Test Form 1A DATE PERIOD Write the letter for the correct answer in the blank at the right of each question. For Exercises 1 and 2, use the figure at the right. 1. W h a t is m Z 8 i f m Z 4 50? A C. 70 D I f /nz2 = 130, w h a t is m Z 6? F. 40 G I I n the figure below, w h a t is m Z l i f m Z 7 = 60? A C. 120 D A triangle has angles measuring 15 and 45. W h a t is the measure of the triangle's third angle? F G. 90 I W h a t is the value ofx i n the triangle at the right? A C. 130 D Course 3 Chapter 5 Triangles and the Pythagorean Theorem 109

11 NAME DATE PERIOD Write the letter for the correct answer in the blank at the right of each question. For Exercises 1-5, parallelogram JKLM has vertices as shown. y / / L 0 J K X 1. I f the figure is translated 4 units left, w h a t are the coordinates of J'? A. (0, - 4 ) C. (-4, 0). (0, 4) D. (4, 0) 1 2. I f the figure is translated 2 units left and 4 units down, w h a t are the coordinates of L 7 F. (-2, 2). (2, 2) G. (-2, ~2) 1. (2, - 2 j 2 L I I 3. I f the figure is rotated 90 clockwise about the origin, w h a t are the coordinates of Af7 I A. ( - 1, 2) C. (-2, 1) ^ s. (2, - 1 ) D. (-2, - 1 ) 3 4. I f the figure is reflected over the x-axis, w h a t are the coordinates oiki F. (0, 3). (3, 0) G. (0, - 3 ) I. (-3, 0) 4! 1 _ 5. I f the figure is dilated using a scale factor of w h a t are the coordinates of L? A. (2, 1) C. (8, 4). ( 2, - 1 ) D. (-8,4) 5 ^ I 6. Five runners are entered i n a race. Assuming there are no ties, i n how m a n y different ways can first and second places be awarded? F G Course 3 Chapter 6 Transformations 133

12 Test Form 1A (continued) 7. Triangle JKL has vertices J(0, 2), K(-l, 2), and L(0, -3). W h a t are the coordinates of tlie image of point K after a dilation w i t h a scale factor of 4? A. K'(SA) C.KU,8). K'iS, - 4 ) D. K'(~4, 8) 7 8. Triangle XYZ has vertices Z ( - 4, 3), - l, 2), and Z ( - 2, 0). W h a t are the coordinates of the image of AXYZ after a translation 3 units to the right and 1 unit up? F. X'(-4, 4), y ' ( - l, 3) and Z'(-2, 1) G. X\-l, 4), Y'(2, 3) and Z'(l, D. X\-l, 3), r ( 2, 2) and Z'il, 0) I. Z'(-7, 4), Y\-4, 3) and Z'(-5, 1) Quadrilateral A S C D has vertices A ( - 1, 3), (-l, 0), C(4, 0), and Z)(4, 3). W h a t are the coordinates of the image of point A after a reflection across the y-axis? A. A'(3, - 1 ) C. A ' ( l, 3). ATS, 1) D. A ' ( - l, - 3 ) Triangle MNP has vertices M{5, 4), iv(5, 9), and P ( - 1, 4). W h a t are the coordinates of the image of point P after the triangle is rotated 180 clockwise about the origin? F. P'(-4, 1). P ' ( - l, - 4 ) G. P'(l, - 4 ) I. P'd, 4) io. G 11. The graph shows segment M'N' is a dilation of segment MN. W h a t is the scale factor of the dilation? Y N \ V 0 w M t X A. 4 C. I. 2 D. I Course 3 Chapter 6 Transformations

13 Test, Form la (continued) 6. Triangle AC is congruent to triangle DEF. W h i c h series of transformations maps ADEF onto AACl F. rotation followed by a translation G. translation followed by a dilation. rotation followed by a dilation I. dilation followed by a reflection 6 F 7. W h i c h of the following statements is not true i f AJKL 2 AMNOl A. ZJ^ZM C. ZN = ZK. Z L ^ Z O D. ZL = ZN W h i c h of the following statements is not true about the graph shown? i n Y lu 8 u r ( 0 4 f ; 3 10* A - 1 f ~o s J f!u, 1 F. The simplified ratio of the rise to the r u n of each triangle is 2. G. The slope of the line is 2.. The slope of the line is 2. I. The smaller triangle and the larger triangle shown are similar W h i c h statement is not true concerning any non-vertical line on the coordinate plane? A. A l l of the slope triangles on the line are similar.. The slope is the same between any two distinct points on the line. C. I n the slope triangles, the ratios of the rise to the run are equal to the slope. D. Tlie slope varies between any two distinct points on the line. 9. D 158 Course 3 Chapter 7 Congruence and Similarity

14 Write the letter for the correct answer in the blank at the right of each question. 1. A 25,000 gallon s w i m m i n g pool is being filled. T w o hundred and fifty gallons are i n it after 30 minutes. o w m a n y hours w i l l it take to fill the pool? Use the draw a diagram strategy. A. 200 h C. 50 h. 100 h D. 25 h The triangles are similar Which series of transformations maps AAC onto \DEF1 F. translation followed by a rotation G. translation followed by a dilation. rotation followed by a dilation I. reflection followed by a dilation The length and w i d t h of a rectangle are 5 feet and 2 feet, respectively. A similar rectangle has a w i d t h of 8 feet. W h a t is the length of the second rectangle? A. 8 ft C. 16 ft. 14 ft D. 20 ft W h i c h statement about the triangles at the right is true? F. AAC is not similar to Z^ADF G. Z i A C is similar to /\ADF b,. ZAC is not congruent to ZDAF I. AAC is congruent to AADF n^~^ 4. I 5. Rectangle DEFG is similar to rectangle JKLM. Rectangle DEFG has I a length of 5 units and a perimeter of 16 units. Rectangle JKLM has s a length of 10 units. W h a t is the perimeter of rectangle JKLM? 'a I A. 8 units C. 32 units s. 20 units D. 64 units 5. Course 3 Chapter 7 Congruence and Similarity 157

15 (continued) 7. A can of juice is 6 inches high, and its base has a diameter of 4 inches. W h a t is the volume of the can? Round to the nearest tenth. A i n ' i n ' C i n ' D i n ' The storage t a n k shown at right is to be painted. W h a t is the area of the surface to be painted to the nearest whole number? Assume that the bottom does not need painting. F. 7,536 ft^ G. 4,396 ft^. 4,084 ft^ I. 3,768 ft^ 20 ft 60 f The popcorn containers at a movie theater are i n the shape of cones. Suppose a popcorn container has a radius of 6 inches and a slant height of 12 inches. W l i a t is the lateral area of the popcorn container rounded to the nearest inch? A. 113 in^. 226 in^ C. 339 in^ D. 1,357 in^ 10. W l i a t is the volume of the composite shape to the nearest whole number? F. 2,138 in3 G. 1,178 in'. 1,035 in3 I. 960 i n ' 16 in The surface area of a triangular prism is 78 square inches. W h a t is the surface area of a similar prism that is three times as large? A. 156 square inches. 234 square inches C. 312 square inches D. 702 square inches 11. D 12. A cone has a volume that is 350 cubic meters. W h a t is the volume of a similar cone that is twice as large as the first cone? F. 2,800 cubic meters G. 1,400 cubic meters. 700 cubic meters I. 175 cubic meters Course 3 Chapter 8 Volume and Surface Area

16 Write the letter for the correct answer in the blank at the right of each question. For Exercises 1-4, what is the volume of each solid? Round to the nearest tenth if necessary. 1. A. 4,188.8 in''. 3,141.6 in3 C in» D in^ 10in F cm' G cm^. 113 cm' I cm' A in^ in^ C in» D. 200 in^ F in-^ in3 E o g I G i n ' 1. 1,130.4 i n ' 10 in. I s s i" I I,1 «5. W h a t is the surface area of the cyhnder? Round to the nearest tenth. A cm"' C cm' 2ft cm^ D cm^ 10ft W h a t is the surface area of a cone w i t h a radius of 3 meters and a slant height of 4 meters? Round to the nearest tenth. F m^ m^ G m^ m^ 6. Course 3 Chapter 8 Volume and Surface Area 181

17 (continued) For Exercises 6 and 7, use the two-way table shown below. Likes classical music Dislikes classical music Plays an instrument 15 2 Does not plays an instrument W h a t is the relative frequency of students that do not play an instrument and do not like classical music to the total number of students who do not play an instrument? Round to the nearest hundredth. F G I W h i c h of the following is a valid conclusion about the data? A. O f the students that like classical music, most do not play a musical instrument.. O f the students that like classical music, most play a musical instrument. C. There were a total of 27 students surveyed. D. Most of the students surveyed like classical music. 7. For Exercises 8 and 9, use the following data set. 2, 3, 3, 4, 5, 7, 8, 8, 8, 10, 10, W h a t are the first and third quartiles of the data? F. 2, 12 G. 4.5,8. 3, 10 I. 3.5, The standaid deviation for the data is W h i c h of the following is w i t h i n one standard deviation of the mean? A C. 10 D The table given below shows the number of students who attended the Spanish Club meetings during the school year. To the nearest tenth, w h a t is the mean absolute deviation of the data? Spanish Club Attendance F G I I 11. I f a data distribution is not symmetric, which should you use to describe the center? A. mean. mode C. median D. range Course 3 Chapter 9 Scatter Plots and Data Analysis

18 Write the letter for the correct answer in the blank at the right of each question. For Exercises 1-3, use the scatter plot shown at the right. 1. W h a t type of association is shown i n the scatter plot? A. a negative linear association. a positive linear association C. a positive nonlinear association D. no association k 8 i t 6 2. W h i c h of the following statements is best supported by the scatter plot? Age(yea«) F. As the age of a person increases, the time spent i n physical activity increases. G. As the time spent i n physical activity increases, a person's age increases.. As the age of a person increases, the time spent i n physical activity decreases. I. Tliere is no relationship between the age of a person and his or her amount of physical activity. 3. W h i c h of the following is a reasonable estimate for the daily amount of physical activity for a person w h o is 50 years old? A. 6 h C. 4 h. 5 h D. 2 h For Exercises 4 and 5, use the scatter plot shown at the right. The scatter plot shows the length of a metal spring when weights are attached. 4. W h i c h of the following is the most reasonable equation for the line of best fit? Number of Weights F. y = 5x + 9 G. y = -5x + 9. y = -1.5.r + 9 I. y = 1.5x W h i c h of the following is the most reasonable estimate for the length of a spring w h e n 20 weights are attached? A. 25 in. C. 54 in., 39 m. D. 62 in. Course 3 Chapter 9 Scatter Plots and Data Analysis 205

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