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1. Write an equation and solve the problem: The sum of a number and 8 is 15. 2. Ray is in debt $32 right now. He had owed more, but he has been paying $6 a month on his debt for the last five months. How much was Ray in debt five months ago? 3. Identify two lines in the diagram. N Q O M P R 4. Using the same diagram, identify a plane in the diagram. 5. Tell whether the angle is acute, right, obtuse, or straight. 6. Define complementary angles; supplementary angles. 1. Identify the correlation shown in the following scatterplot. 2. Describe the steps that would be used to construct an angle bisector. 3. Identify the vertical angles in the diagram: a b d c 4. What property is illustrated in the following: 8 ● 2 = 2 ● 8 5. The number of oranges and apples found in 16 crates of each are as follows: oranges – 5, 6, 7, 2, 3, 2, 6, 9, 7, 7, 5, 7, 9, 1, 1, 0 apples – 8, 8, 8, 2, 1, 5, 4, 7, 6, 7, 9, 0, 0, 1, 6, 5 Draw a stem-and-leaf plot to show the data. 6. What is the median, mode, and range of the data in problem #5. 1. Write the percent modeled by the grid. 2. Write 54% as a fraction in simplest form. 3. Write 3.37 as a percent. 4. Put the following in order from least to greatest. 2 7 5. 0.48 102% 1 4 0.6 If the following triangles are similar, find the area of the second 1 triangle (formula for area of a triangle = 2 bh): h = 1.5 cm 2 cm 6. 6 cm 3 cm What happens to a figure that is changed by a scale factor of 0.25. 1. 3 9 List the numbers from greatest to least: 10 , 0.0902, 1, 1.035, 1 5 1.25 2 15 2. Compare the numbers (<. >, =): 3. Solve: 4. Identify the property represented by each equation: (-9 + 11) + 15 = -9 + (11 + 15) 5. Use the distributive property to simplify this equation: 6●4+6●5= 6. If y = 5x, what will happen to the value of y if x is multiplied by 1 ? (35 ÷ 5)2 + 12 – 27 ● 3 = 5 1. If y = 4x, what will happen to the value of y if x is doubled? 2. Complete the following table if y = -3x. x y 20 28 36 44 3. Identify the lines that are represented here: a. b. 4. Define polygon. 5. How many degrees are found in a circle? 6. If rectangle EFGH (2, -1), (2, -6), (4, -6), (4, -1) were translated 2 units to the right and 6 units up, what would be the vertices of rectangle E’F’G’H’? 1. A jar is filled with buttons of various colors. If the jar has a total of 420 buttons and 85% of the buttons are green, how many green buttons are in the jar? 2. Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris’s purchases, including sales tax. If necessary, round your answer to the nearest cent. 3. Lucinda surveyed 50 students in her school to find out how many students enjoy playing sports. The results are shown in the table. Do you think Lucinda chose a random sample? Why or why not? Population Sample Students in Lucinda’s School Total Number of Number of People Who People Enjoy Sports 1200 960 50 40 4. What is a scale factor? 5. What would a scale factor of 3 mean? 6. Order the following from greatest to least: 2 7 , , 3 10 - 6 , 0.19, and -0.8. 7 1. Use a number line to order the integers 3, -7, 7, -9, 6, and 0 from least to greatest: | | | | | | | | | | | | | | | | | | | | | | | | 2. -37 + (-25) = 3. Evaluate a + b for a = -46 and b = 34. 4. At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to science teachers in simplest form. 5. Order the ratios 49:45, 28:43, 21:25, and 24:36 from least to greatest. 6. What are the first 12 perfect squares? 1. Ms. Wallace records the amount of time each of her students spends practicing piano each week. Make a line plot of the data. Number of Hours 1 2 4 3 2 1 2 3 3 2 1 1 2 1 2. Manuel just bought a new television for $629.00. He made a down payment of $57.00 and will pay monthly payments of $26.00 until it is paid off. How many months will Manuel be paying? (Assume that he pays no interest.) 3. Solve 2(a – 5) – 5 = 3. 4. |-5 + -7| ● 6 = 5. Identify the line segments that are congruent in the figure. I K M O P 6. Use the diagram to tell whether the angles PQU and UQK are complementary, supplementary, or neither. U P 30º K Q 30º 90º 60º O S 1. O and P are complementary. If m O = 31.3°, what is the m P? 2. Tell whether the lines skew. and CF CD appear parallel, perpendicular, or H G F C D E 3. Tell which property is represented: 12 + 0 = 12 4. m = 18 4 5. Simplify: 6. On a scale drawing, 2 in. = 1 ft. A room is pictured as 7.5 inches inches by 6 inches. How many square yards of carpet are needed for the room? 3a3 + 4 – 4a – 2a3 + 6 + 12a – b3 1 1. Determine whether the figure is a polygon. 2. Find the unknown angle measure. 50º x 3. Determine whether the triangles are congruent. A D 12 m E 4. 12 m 6m F 12 m C 12 m 8m B A figure has vertices at E(–3, 1), F(1, 1), and G(4, 5). After a transformation, the image of the figure has vertices at E’(–3, –1), F’(1, –1), and G’(4, –5). Draw the preimage and image. Then identify the transformation.