Topic Problem to solve Website If the two lines are parallel and m 1 = 53, find the m 7 and m 8.
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1 Directions: Solve each question. Show work where work is necessary to be shown. Work should be shown AND CLEARLY LABELED on separate paper. Some answers may need to be put on a separate paper. CLEARLY LABEL these answers. For questions that you have difficulty go to the link listed. Topic Problem to solve Website If the two lines are parallel and m 1 = 53, find the m 7 and m Parallel line property with transversal geometry/parallel-lines.html 2. Transformation : Reflection If triangle ABC, shown below, were reflected across the y-axis, what would the new coordinates be? h_help/topics/reflections.ht ml 3. Transformation : Translation 4. Transformation : Dilation (Scale Factor) Given (x,y) and the rule (x 2, y + 5), what are the new coordinate points if the pre-image has coordinate points (-1, 5), (6, 4), (9,-2),(5, 3)? A figure is dilated by a scale factor of 1/2,. If the origin is the center of dilation, what is the image of a vertex located at (4, 12)? Regents/math/geometry/GT2 /Trans.htm Regents/math/geometry/GT3 /Ldilate2.htm
2 5. Triangle Angle Sum Find x in the right triangle below. o612x5.htm 6. Similar Triangles 7. Transformation : Rotation 8. Transformation : Corresponding Sides and Angles 9. Multiplication Power Rule 10. Negative Exponents What does it mean when 2 triangles are similar? Draw the image of a triangle with vertices (-3, 2), (-2, 3), and (-2, 0). Then perform the following transformation: a 90 clockwise rotation about the origin. Parallelogram EFGH is reflected over the y-axis to create parallelogram QRST. Which side is congruent to FG? geometry/trianglessimilar.html com/transformations/rotatio ns-in-math.php com/geometry/correspondin g-angles-sides.php Multiply. Write the product as a power /modules/exponent.htm Evaluate 5 om/negative-exponents.html 11. Exponents Evaluate ( 3) /modules/negative4.htm 12. Perfect Square A square room is a tiled floor with 121 square tiles. How many tiles are along the edge of the room? square-root.html 13. Estimate The square root 95 is between two integers. Name the integers. Square root l/subject1/lessons/s1u1l9dp 14. Classify Rational or Irrational 15. Irrational numbers 16. Multiply Scientific Notation 17. Order Rational and Irrational Numbers 18. PEMDAS with square root 19. Scientific Notation 20. Compare Scientific Notation Classify the number as rational or irrational. Give an example of an irrational fraction. Rachel measured large and small items in her science lab. She needed to multiply 3.2 x 10 by 5.6 x 10. What is her correct result in scientific notation? Graph the numbers 15, 3.1, 36,, and on a number line (from 0 to 10). Then, order the numbers from least to greatest. Evaluate the expression If necessary, round your answer to the nearest tenth. The Earth is about x 10 miles from the sun. Write this number in standard form. The attendance at a Braves game was 1.01 x 10 people. The attendance at a Falcons game was 1.39 x 10 people. Which event had the higher attendance?.html /ipka/a html /ipka/a html m/math_science/scinot_mult _div.htm algebra2/final_review/chapte r1/1.1.2.html 23-evaluate-1variable.html numbers/scientificnotation.html numbers/scientificnotation.html
3 21. Pythagorean Theorem: Find hypotenuse Find the length of the unknown side of the triangle below. Round your answer to the nearest tenth. pythagoras.html 22. Pythagorean Theorem: Understanding the proof In the image below, square B has an area of 9 feet and square C has an area of 16. Find the area of square A. pythagoras.html 23. Pythagorean Theorem: Find leg Grandpa Johnny has to fix his roof. He leans a ladder up against the wall. Before he climbs his ladder, he wants to know how far he has to climb. PLEASE HELP GRANDPA JOHNNY FIGURE OUT HOW FAR HE HAS TO CLIMB!! pythagoras.html 24. Zero Power Rule What is ( 3? 25. Perfect Cubes What is the smallest integer greater than 1 that is both the square of an integer and the cube of an integer? 26. Equations: Like Solve. 3x + 2x = 50 Terms Regents/math/algtrig/ATO1/ posnegzles.htm /ipka/a html /Intercepts-and-the-Cover- Up- Method/lesson/Intercepts- and-the-cover-up- Method/r19/
4 27. Equations: Distributive Property 28. Volume of Cylinder Solve for m: 3(x - 3) = 18 Find the volume of the cylinder. Round your answer to the nearest tenth. Use 3.14 for pi. ormulas/ss/surfaceareavol_3. htm 29. Equations: One Step 30. Volume of Cone If 2x = 100, find the value of 3x 121. Find the volume of the figure below. Use 3.14 for pi. If necessary, round your answer to the nearest tenth. m/conevolume.html 31. Volume of Sphere Find the volume of the sphere, both in terms of and as a number. Use 3.14 for pi. Round your answers to the nearest tenth. culate-the-volume-of-a- Sphere 32. Equations: Multi-step Variables on both sides Solve. 3(4x 3) = 12x - 9
5 33. Equations: Multi-step 34. Function: Graph Solve. 3x + 4 = 5x + 1 Determine if the graph represents a function. gebra/15-functions/03- vertical-line-test-01.htm 35. Function: Relation 36. Table to Graph and Equation Is this relation a function? (-2, 4), (3, 5), (-2, 3), (5, 6) Use the table to make a graph and write an equation. ebra/homework/rationalfunctions/rationalfunctions.faq.question html com/algebra/linear_equation /linear-equation-tableexamples-graphs.php X Y Identify Linear Is the following equation a linear equation? Equation 5 12 athsteps/7/d/index.html 38. Slope of 2 Find the slope of the line that passes through the points (2, 4) and points (5, 9). th/slope/ 39. Type of Slope Find the slope of the line. th/slope/ 40. Slope of a graph 41. Interpret word problem 42. Slope-Intercept word problem Sketch a graph of a line with a slope of and a y-intercept of 5. The linear equation y = 25x describes how car Clarence is as he drives from Vienna to Santa Fe. Let x represent the number of hours and y represent the number of miles. How far from home is Clarence in 11 hours? A repair service charges $100 to come to your home plus $10.50 per hour. Find a function that describes this service. Then find the total cost for a 6-hour job. /modules/slopgrph2.htm /modules/systprob.htm /modules/systprob.htm
6 43. Equation to table and graph Once a falling object in the atmosphere reaches terminal velocity, its speed does not change unless something else (such as a parachute) acts on the object. du/~noell/ebsm/linear.html Make a table and draw a graph of the distance fallen by a skydiver falling at a terminal velocity of 210 feet per second. The distance fallen after teaching terminal velocity is represented by the equation d = -210t, there d is the distance and t is the number of seconds. 44. Correlation Draw a scatter plot with at least 15 data points that shows a 45. Graph Slope- Intercept form negative correlation/trend. Write the linear equation in slope-intercept form of the graph below. data/scatter-xy-plots.html equation_of_line.html 46. Slope-Intercept Word Problem 47. Evaluate Slopeintercept word problem 48. Predict for Scatterplot Katarina charges $7.75 per hour when she babysits, plus $10.00 for transportation expenses. Write a function rule to represent the amount, y, Katarina charges to babysit for x hours. Katarina charges $7.75 per hour when she babysits, plus $10.00 for transportation expenses. Katarina is saving up for an ipod touch. She is almost there and only needs to save another $ How many hours will she have to babysit to save the amount she needs? The scatter plot below shows the relationship between the time spent learning a piece of music for the guitar and the score at the annual solo competition. Predict the score for 20 weeks of practice. (on next page) du/~noell/ebsm/linear.html c.uk/projects/mepres/book9/ bk9i8/bk9_8i4.html
7 y Score Domain of a Function x Weeks of Practice Give the domain of the following relation: R: {(1, 3), (-6, -4), (2, 1), (3, -4)} /modules/fcns2.htm 50. Unit Rate Martin is buying smoothies for his co-workers, but enjoys saving money. He has created a chart of the prices from 3 stores. 51. Systems-Word Problem Which of the following stores offers the best deal for Martin? Store Price Number of Smoothies Sam s Market $20 10 Carla s Mart $50 30 AllSmart $ Crystal and Delia are saving money for summer break. Crystal currently has $150 in her savings account and she will save $20 per week until summer break. Delia currently has $100 in her savings account and she will save $30 per week. Write a system of equations to represent this situation. 52. Line of Best Fit Plot the following data and find a line of best fit. x y Systems: Verify Solution 54. Systems: Graphing 55. Compare Functions What is the solution to the following system of equations? 2 3 = =4 Graph the equations =2 +2 = 1 on the same coordinate plane. Then, find the point where both lines intersect. Write your solution as an ordered pair. Which linear function has a greater rate of change? Function 1: y = -3x +100 Function 2: x y node/71 ear-equationsystems/translating-wordproblems.html /modules/scattreg3.htm regents/math/algebra/ae3/al gsysadd.htm /education/prealgebra/graphing-andfunctions/solve-systems-ofequations-by-graphing node/71
8 56. Interpret graph A car sits still for 5 seconds and then quickly accelerates to 50 mi/h in 5 seconds. It immediately begins to slow down as soon as the car reaches 50 mi/h and after 10 seconds of slowing down, it finally comes to a stop. Sketch and label a graph showing the car s speed over time. 57. Systems: Substitution 58. Systems: Elimination What s the first step in solving a system of equations using substitution? Solve the linear system of equations: nce/physics/faculty/mcoomb es/webtests/notes/understa ndingxtgraphs.html /12-2x2-systems-ofequations/02-solving-bysubstitution-01.htm regents/math/algebra/ae3/al gsysadd.htm
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