MODULE 1 1. Look at each number. Is the number between π and 5? Select or for epressions A C. A. 6 _ 3 5π B. C. 3 5. Consider the number - 11 15. A. The number is rational. True False B. The number can be written as True False a repeating decimal. C. The number is less than 0.8. True False 3. The volume of a cube is given b V = 3, where is the length of an edge of the cube. A cube-shaped end table has a volume of 3 3 _ 8 cubic feet. What is the length of an edge of the end table? Eplain how ou solved this problem. 4. A student sas that 83 is greater than 9 3. Is the student correct? Justif our reasoning. 8 Unit 1
MODULE 1. Consider each epression. Is the epression equivalent to 4? Select or for epressions A C. A. - 6 B. ( ) C. 3 7. The variable r represents a rational number. A. r is a real number. True False B. r could be a repeating decimal. True False C. r could be _ 39. True False 3. So far this ear, a compan has sold 8.8 1 0 5 tablet computers. How man more tablets must the compan sell for its tablet sales to reach 1 million this ear? Eplain how ou solved this problem. 4. Brazil has an area of approimatel 8.51 10 6 square kilometers and a population of about 1.99 10 8 people. Portugal has an area of approimatel 9.1 10 4 square kilometers and a population of about 1.08 10 7 people. On average, which countr has a greater number of people per square kilometer? Eplain how ou know. 60 Unit 1
MODULE 3 1. Consider each table. Are the rates of change within each table constant? Select or for tables A C. A. Time (s) 1 5 8 Height (m) 14 8 70 11 B. Time (s) 1 3 4 Height (m) 60 30 15 7.5 C. Time (s) 6 10 1 Height (m) 40 10 00 40. An influenza virus has a length of 1.3 10-7 meter. Choose True or False if a virus is longer than the influenza virus. A. a hepatitis virus with a length of 4.5 10-8 m True False B. a measles virus with a length of 0.000000 m True False C. a phage virus with a length of 10-7 m True False The table shows travel distance and fuel usage for a train. Use the table for items 3 and 4. 3. Write an equation for the relationship shown in the table and eplain how ou determined our answer. Distance (mi), 0 40 60 80 Amount of fuel (gal), 10 40 360 480 4. The equation = 6.5 gives the number of gallons of fuel that a second train uses to travel a distance of miles. Which train uses fuel at a greater rate? Eplain how ou know. 9 Unit
MODULE 4 1. Consider each table. Does the table represent a proportional relationship? Select or for tables A C. A. -4-0 4-10 -4 8 14 B. 4 8 1 16 0 3 6 9 1 15 C. -3-1 1 3 5-1 -4 4 1 0. The graph shows the relationship between the hours Leann works and the mone she earns. A. Slope = 8. True False B. Unit rate = $8/h. True False C. Equation is = _ 8 True False Earnings ($) 4 16 8 O 4 6 Time (h) 3. There is an initial fee to join a gm, plus a monthl charge. The table represents the linear relationship between the total cost of joining the gm and the number of months a person is a member. What is the -intercept of the line, and what does it represent in this situation? Time (months), Total Cost ($), 1 15 155 3 185 4. The equation = 35-5 gives as the cost of tickets to a theme park with a $5 coupon. After the park raises ticket prices b $3, what is the new equation? How are the graphs of the two equations different? 14 Unit
MODULE 5 1. Renting a paddle board costs $1 per hour plus a $3 charge for a life jacket. Which model(s) below could represent this situation, where is the cost in dollars of renting a paddle board for hours? Select all that appl. = 3 + 1 a line with a slope of 1 and a -intercept of 3 a line through the points (1, 1) and (3, 15) 0.5 1 1.5 9 15 1. A ferr leaves a cit and travels to an island. The distance the ferr has left to travel is modeled b the linear equation = 1-0., where is the distance in miles and is the time in minutes since the ferr left the cit. A. The relationship is nonproportional. True False B. The slope of the line is 0.. True False C. The island is 1 miles from the cit. True False 3. The graph shows the relationship between the time it started raining and the amount of rain that has fallen. Show that the relationship is linear, and then find the equation for the relationship. Rainfall (in.) 1.5 1 0.5 O 1 3 Time (h) 4. Alma charges $97 for a job that takes hours and $187 for a job that takes 4 hours. Write an equation in slope-intercept form that gives the charge in dollars for a job that takes hours. Eplain how ou solved this problem. 150 Unit
MODULE 6 1. Look at each table. Is the relationship in the table a function? Select or for tables A C. A. Input -4 8 0 6 13 Output 5 1-3 5 18 B. Input 6 34 8 30 34 Output 5 6 55 59 60 C. Input 17 0 15 5 19 Output 84 75 7 7 80. Michelle started with $5 and saves additional mone each week to bu a video game sstem, as shown in the table. Time (Weeks), Savings ($), A. The equation is = 5 + 18. True False B. The -intercept is 5. True False C. The slope is 18. True False 3. The equation = 0 - _ 4 gives the number of pounds of dog food remaining in a bag das after it is opened. Determine whether the relationship between and is linear. Eplain our reasoning. 0 1 3 5 43 61 79 4. The cost in dollars of getting cable TV from Soto Cable for months is given b = 4.50 + 30. The cost of getting cable TV from Lang Cable is shown in the table. Mr. Oliver needs cable TV for 6 months. Which service is cheaper for Mr. Oliver? Eplain how ou solved this problem. Lang Cable Time (months) Total Cost ($) 1 45.90 91.80 3 137.70 18 Unit
MODULE 7 1. Consider each equation. Does the equation have at least one solution? Select or for equations A-C. A. 3( + ) = + + 6 B. - 7 = ( + 4) + 3 C. 8 + 5 = 5( + ) - 1. Vince left home to go on a walk. The graph shows his distance from home over time. A. Vince walked faster during segment 3 than during segment 1. True False Distance from home (mi) 1 3 4 B. In segment, Vince s distance from home increased at a constant rate. True False C. In segment 4, Vince returned home. True False 3. Shawn s Rental s charges $7.50 per hour to rent a surfboard and a wetsuit. Darla s Surf Shop charges $3.5 per hour to rent a surfboard plus $17 etra for a wetsuit. Write and solve an equation to determine the rental period in hours for which the charges for Shawn s Rentals will be the same as the charges for Darla s Surf Shop. Eplain the steps of our solution. 4. Beach towels are on sale for $1.50 off the regular price. Ms. Ortiz bus 4 beach towels on sale for a total of $33.96. Write and solve an equation to determine the regular price of a beach towel. Eplain how ou can check whether our answer is reasonable. 4 Unit 3
MODULE 8 1. Consider each sstem of equations. Does the sstem have at least one solution? Select or for sstems A C. 3 - = 4 A. { -6 + 4 = -8 B. { -4 + = 1 1-3 = 3 C. { + = 0 4 - = -6. Rub ran 5 laps on the inside lane around a track. Dana ran 3 laps around the same lane on the same track, and then she ran 0.5 mile to her house. Both girls ran the same number of miles in all. The equation 5d = 3d + 0.5 models this situation. A. The variable d represents the distance around the track in miles. True False B. The epression 5d represents the time it took Rub to run 5 laps. True False C. The epression 3d + 0.5 represents the distance in miles Dana ran. True False 3. Daisies cost $0.99 each and tulips cost $1.15 each. Maria bought a bouquet of daisies and tulips. It contained 1 flowers and cost $1.5. Solve the + = 1 sstem { 0.99 + 1.15 = 1.5 to find the number of daisies and the number of tulips in Maria s bouquet. State the method ou used to solve the sstem and wh ou chose that method. 4. Klie bought 4 dail bus passes and weekl bus passes for $9.00. Luis bought 7 dail bus passes and weekl bus passes for $36.50. Write and solve a sstem of equations to find the cost of a dail pass and the cost of a weekl pass. Eplain how ou can check our answer. 68 Unit 3
MODULE 9 1. Consider each rational number. Is the number greater than 1_ 3 but less than 4_ 5? Select or for A C. A. 0.4 B. 9_ 7 C. 0.9. Triangle DEF is rotated 90 clockwise about the origin. A. E F = 3 True False B. m F = 90 True False _ C. D F is vertical. True False 3. A graphic artist is working on a logo for a car compan. The artist draws parallelogram LMNP with vertices L(1, 0), M(, ), N(5, 3), and P(4, 1). The artist then reflects the parallelogram across the -ais. Find the coordinates of the vertices of parallelogram L M N P, and describe the algebraic rule ou used to find the coordinates. 4-4 - O D 4 - -4 F E 4. The map shows two of a farmer s fields. Is field A congruent to field B? Use a sequence of transformations to eplain our reasoning. A 4-4 - O D 4 - -4 B 31 Unit 4
MODULE 10 1. Triangle ABC is dilated b a scale factor of with the origin as its center and then reflected across the -ais. Look at each ordered pair. Is the ordered pair a verte of the image? Select or for ordered pairs A C. A. (-4, 10) B. (-, 4) C. (10, -6). A. integers are irrational numbers. True False B. real numbers are rational numbers. True False C. All integers are whole numbers. True False D. All whole numbers are integers. True False - 6 4 - A B C O 4 6 3. In a video game, a rectangular map has vertices M(10, 10), N(10, 0), P(40, 0), and Q(40, 10). When a plaer clicks the map, it is enlarged b a scale factor of 4.5 with the origin as the center of dilation. What are the coordinates of the vertices of the enlarged map? Describe the algebraic rule ou used to find the coordinates. 4. An engineer is working on the design of a bridge. He draws the two triangles shown. Is triangle A similar to triangle B? Use a sequence of transformations to eplain how ou know. 4 O - -4 A B (4, 1.5) 6 (4, -1.5) 336 Unit 4
MODULE 11 1. In the diagram, lines a and b are parallel and lines p and q are parallel. Look at each pair of angles. Are the angles congruent? Select or for A C. A. 1 and B. 3 and 4 C. 5 and 6 p q 1 3 4 5 6 a b. The variables and are related proportionall, and when = 18, = 1. A. When = 3, = 5. True False B. When = 7, = 18. True False C. When = 63, = 4. True False 3. An artist is designing a triangular pane of glass for a stained glass window, as shown in the diagram. Given that ABC is an eterior angle, what is the measure of each interior angle of the triangle? Eplain our reasoning. C 10 A B D 4. The diagram shows several of the boards that form part of the frame of a roof. Is JKN similar to JLM? Eplain how ou know. J K N L M 37 Unit 5
MODULE 1 1. Look at each set of side lengths. Is a triangle with the given side lengths a right triangle? Select or for A C. A..8 m, 4.5 m, 5.3 m B. 15 in., 17 in., 3 in. C. 1 ft, 8 ft, 35 ft. Consider the set of numbers 9 6, 4.9, and 4 _. A. 4.9 is to the right of 9 6 on a number line. True False 9 B. 6 is to the left of _ 4 on a number line. True False C. _ 4 is to the right of 4.9 on a number line. True False 3. A bald eagle s nest is located 3. miles west and.6 miles north of the entrance to a national forest. A biologist plans to hike directl from the forest entrance to the nest. Will the biologist hike more than 5 miles to reach the nest? Eplain how ou know..6 mi Nest? 3. mi Entrance 4. Three of the paths in a cit park form a right triangle, as shown on the map. Each unit on the map represents 10 meters. The cit plans to plant trees along these paths. To the nearest meter, what is the perimeter of the triangle? Eplain how ou solved this problem. - O - 396 Unit 5
MODULE 13 1. Triangle JKL is dilated b a scale factor of 1.5 with the origin as the center of dilation. Look at each ordered pair. Does the ordered pair represent a verte of the image? Select or for A C. K - O - A. ( 3, 4.5) B. (1.5, 6) J -4 L C. (3, 0). A sphere has a radius of 4 inches. A. A sphere with half the radius has 1_ 8 of the volume. True False B. A sphere with twice the radius has 6 times the volume. True False C. A sphere with 3 times the radius has 7 times the volume. True False 3. A pile of sand is shaped like a cone with a height of 4 feet and a base diameter of 13 feet. Each cubic foot of sand weighs 90 pounds. Does the pile of sand weigh more than a ton (000 pounds)? Eplain how ou know. 4. A clindrical drinking glass has a base radius of 3. centimeters and a height of 14.0 centimeters. Given that 1 cubic centimeter is equivalent to 1 milliliter, how man milliliters of water does the glass hold when it is 3 _ 4 full? Round to the nearest milliliter. 14.0 cm 3. cm 40 Unit 5