Pythagorean Theorem and Converse (8.GB 6 and 7) Online: IXL 8Th Grade
Total Page:16
File Type:pdf, Size:1020Kb
Pre-Algebra Practice Assignments Day 1: March 30 - Pythagorean Theorem and Converse (8.G.B. 6 and 7) Online: IXL 8th grade R.1, R.2, and R.5 Paper: Pythagorean Theorem and Converse Practice Worksheet Day 2: March 31- Graph Linear Functions (8.F.3) Online: IXL 8th grade Y.5 and Y.6 Paper: Graph Linear Functions Practice Worksheet Day 3: April 1- Write Linear Functions (8.F.4) Online: IXL 8th grade Y.7, Y.8, Y.9, Y.10, Z.11, and Z.14 Paper: Write Linear Functions Practice Worksheet Day 4: April 2- Systems of Equations by Graphing (8.EE.8a) Online: IXL 8th grade AA.1, AA.2, and AA.4 Paper: Systems of Equations by graphing Practice worksheet Day 5: April 3- Systems of Equations by Substitution (8.EE.8a) Online: IXL 8th grade AA.8 Paper: Systems of Equations by Substitution Practice Worksheet 3/20/2020 Untitled Assessment - 1 Untitled Assessment - 1 Collection: Draft Created by Pete Garza Q1: What is the length of the missing leg? a = meters Q2: One end of a cable is attached to the top of a agpole and the other end is attached 6 feet away from the base of the pole. If the height of the agpole is 12 feet, nd the length of the cable. Round your answer to the nearest tenth. A 13. 4 feet B 13. 1 feet C 18 feet D 10. 4 feet https://app.edulastic.com/secure/as/printPreview?t=1584722801880 1/5 3/20/2020 Untitled Assessment - 1 Q3: A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle? Answer: a a. yes no Enter Value Q4: Kate plans to use four triangles like the one shown to form a diamond shape. For her plan to work, the triangle must be a right triangle. Determine whether the triangle is a right triangle. Answer: a a. yes no https://app.edulastic.com/secure/as/printPreview?t=1584722801880 2/5 3/20/2020 Untitled Assessment - 1 Q5: Part A Find the hypotenuse, c , of the triangle. Figure not drawn to scale −−− A √158 −−− B √160 −−− C √121 −− D √46 Part B Write the length of the hypotenuse rounded to nearest hundredth. The length of the hypotenuse is Q6: What is the length of the hypotenuse, c ? Round your answer to the nearest hundredth. Figure not drawn to scale c = https://app.edulastic.com/secure/as/printPreview?t=1584722801880 3/5 3/20/2020 Untitled Assessment - 1 Q7: Consider the gure shown below. What is the length of the missing leg? b = millimeters Q8: Find the perimeter of the gure below. Figure not drawn to scale Perimeter = ft Q9: For the given solid gure, nd the value of the variable. Figure not drawn to scale. c = cm https://app.edulastic.com/secure/as/printPreview?t=1584722801880 4/5 3/20/2020 Untitled Assessment - 1 Q10: Find the length of the hypotenuse in the following gure, Figure not drawn to scale c = Kilometers Q11: A triangle with sides of lengths 9 cm , 12 cm and 15 cm is a right triangle. A True B False Q12: A triangle has sides with lengths of 15 m, 20 m and 25 m. Is it a right triangle? Answer: a a. Yes No Pythagorean Theorem and Converse of Pythagorean Theorem Solutions Q1: a = 12 Q2: A Q3: No Q4: Yes Q5: 12.65 Q6: C = 8.06 Q7: b = 6 Q8: P = 30 feet Q9: c = 10 cm Q10: c = 20 Km Q11: True Q12: Yes 5/5 Kuta Software - Infinite Algebra 1 Name___________________________________ Graphing Lines Date________________ Period____ Sketch the graph of each line. 2) yx 1) y x y y x x 3) y 4) y x y y x x 6) x 5) y x y y x x ©3 p2a0H1A2i rKxu7tual qSHo4fvtiwkaarTey 2LuL5C9.x e ZAUlxlN Yrji7g6h3tcsa ArTeRsDeDrJv6erdn.X c 2MCanduer EwRigtthL LIdnjf4iQnxiEtIeg UA0l9g6ewbJrMa2 m1o.8 -1- Worksheet by Kuta Software LLC 8) x 7) y x y y x x 9) y x 10) y x y y x x 12) yx 11) y x y y x x ©Y i2j0Z1j23 xKauItya1 uSqozfxtSw3aor1ee wLhLqCL.0 X fAWldlp 6reiYgjh7t0sA grieHsPebrRvueOdv.H N 3MzafdGej Zw7istshx HIMn3fCiznniXtpe3 vAOlSg8efbmrKaN W14.J -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name___________________________________ Graphing Lines Date________________ Period____ Sketch the graph of each line. 2) yx 1) y x y y x x 3) y 4) y x y y x x 6) x 5) y x y y x x ©L a2S0d1w2c UKQu8tDaX 5SdoufxtAw7aDrqed lLqLmCl.N 6 uAOljl4 4reiugehXtWs9 YrNeqsXe3rTvRezdm.s 5 2MmaSdjeT Jwpijtrhq sImnZfIiZnAi6tveT MA4lhgjeYbr eag E1e.e -1- Worksheet by Kuta Software LLC 8) x 7) y x y y x x 9) y x 10) y x y y x x 12) yx 11) y x y y x x Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com ©Q E2X0f1n2f bKZuTtaaF aSromfAtLwLaIrbel GLgLRCu.0 t kA4l1l5 cr3iwgWhotksW vrneRsXer Rv7eIdK.s d AM7aadYeo RwNiytFh4 gIhncfQiInRi2tReN XAEl2gje3b5rUan V10.S -2- Worksheet by Kuta Software LLC 3/20/2020 Write Linear Functions Practice Write Linear Functions Practice Collection: Draft Created by Pete Garza Q1: The points (4, 0) and (7, 6) lie on a particular line. What is its equation in slope-intercept form of this line? y = x − Q2: A rental car company oers a rental package for a mid-size car. The cost is comprised of a xed $40 administrative fee for the cleaning and maintenance of the car plus a rental cost of $45 per day. Using x for the number of days and y for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car. Answer: Q3: A line includes the points (0, 2) and (1, 6) . What is the equation of the line in slope-intercept form? y = x + https://app.edulastic.com/secure/as/printPreview?t=1584724908802 1/5 3/20/2020 Write Linear Functions Practice Q4: What is the equation of the line that is graphed below? Type your result in empty box provided below: y = x + Note: Use slash(/) to separate numerator and denominator. Q5: The total prot a company earns from selling cups of tea increases at a constant rate and is shown in the table below. Cups of Tea, t Total Prot, p 20 $14. 00 30 $21. 00 45 $31. 50 65 $45. 50 Write a function for the total prot, p, in dollars, in terms of the number of cups of tea, t. https://app.edulastic.com/secure/as/printPreview?t=1584724908802 2/5 3/20/2020 Write Linear Functions Practice Q6: While hiking up the side of a mountain, Jason kept track of his progress and altitude. After 20 minutes he had reached an elevation of 3, 622 feet. After 60 minutes he had reached an elevation of 5, 066 feet. Write an equation that represents a linear relationship between the time Jason has been hiking (x) and the altitude he is at (y). y = Q7: A line goes through the points (−4, 7) and (1, 2). What is the equation of the line? A y = x − 3 B y = −x + 3 C y = −x − 3 D y = x + 3 Q8: Write the function that is represented in the following set of data: x 0 1 2 3 4 5 6 y 1 1.4 1.8 2.2 2.6 3 3.4 y = Q9: Write an equation for the following: (3, -2) and a slope of -2. https://app.edulastic.com/secure/as/printPreview?t=1584724908802 3/5 3/20/2020 Write Linear Functions Practice Q10: Write an equation for the line shown in the graph below using the slope y-intercept formula. Q11: Mr. Weiss has decided he needs a gym membership. The following graph was given to Mr. Weiss, showing the cost for a membership based on number of months. Write an equation for the graph in which y represents the total cost based on the number of months x. https://app.edulastic.com/secure/as/printPreview?t=1584724908802 4/5 3/20/2020 Write Linear Functions Practice Q12: A line contains the points (2, 3) and (−1, 2) . Find the necessary information in order to complete the equation of the line. y = x + Note: Use slash(/) to separate numerator and denominator. Write Linear Equations Practice--Solutions Q1: y = 2x – 8 Q2: y = 45x + 40 Q3: y = 4x + 2 Q4: = Q5: P = 0.7t − Q6: = + Q7: B Q8: = x + 1 or y = .4x + 1 or y = 0.4x + 1 Q9: y = - 2x + 4 Q10: y = -2x + 2 Q11: y = 50x + 200 Q12: = + − https://app.edulastic.com/secure/as/printPreview?t=1584724908802 5/5 Kuta Software - Infinite Algebra 1 Name___________________________________ Solving Systems of Equations by Graphing Date________________ Period____ Solve each system by graphing. 2) yx 1) y x yx y y x y x x 4) y 3) y x y x y x y y x x ©i M2J0G1w28 HKFuitVau 5SRoqfItRw0ahrXe8 5L0L7CX.k s KAClslM 9rViVgzhntGsP r PePsQeUrXvceOd0.z l jM5aydPe4 vwFiStohn yISn0fZi0nhi0trev rAllTgceXbJrhaN 71X.I -1- Worksheet by Kuta Software LLC 5) yx 6) yx yx y x y y x x 7) y x 8) y x yx y x y y x x ©4 R2j0x1027 TKXuCtaaH eSCo2fttowmaQrIe4 MLNLmCI.U x xALlTlR nrqihgGhJt6sw RrCeZshevrbvNeedv.p 0 kMWahdaey bwBiUtthx 4IInSfDi1nKint4eq jAEl9g6exbYr8aW X1p.i -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name___________________________________ Solving Systems of Equations by Graphing Date________________ Period____ Solve each system by graphing.