Assignment. Get Radical or (Be) 2! Radicals and the Pythagorean Theorem. Simplify the radical expression. 45x 3 y 7
|
|
- Kenneth Perkins
- 5 years ago
- Views:
Transcription
1 Assignment Assignment for Lesson.1 Name Date Get Radical or (Be) 2! Radicals and the Pythagorean Theorem Simplify the radical expression x x y A plane takes off from an airport and travels 24 miles due west and then 60 miles due north, landing on an island. How far is the airport from the island? 60 miles 24 miles Chapter Assignments 7
2 10. A bird leaves its nest and flies two miles due north, then three miles due east, then four miles due north, and then five miles due east, finally reaching the ocean. How far is the bird s nest from the ocean? 4 mi 5 mi 2 mi mi 11. Two friends leave Pittsburgh at the same time in separate cars. One car travels due east, while the other car travels due north. Both cars travel at 55 miles per hour. Each car has a two-way radio with a talking range of 400 miles. In how many hours will they be too far apart to communicate on their radios? 12. A tree was planted 15.9 feet from a house and eventually grew to a height of 2 feet. During an electrical storm, lightning struck the tree, causing the top of the tree to break off 6 feet above the ground. If the severed part of the tree is falling toward the house, will it hit the house? Explain your reasoning. 1. What is the length of the longest side of the trapezoid shown? 5 miles 6 miles 9 miles 74 Chapter Assignments
3 Name Date 14. A boat drops an anchor with a 200-foot chain. The lake is 75 feet deep. How far can the boat drift in any one direction? Chapter Assignments 75
4 76 Chapter Assignments
5 Assignment Assignment for Lesson.2 Name Date The Pythagorean Theorem Disguised as the Distance Formula! The Distance Formula and Midpoint Formula Ben is playing soccer with his friends Abby and Clay. Their positions on the soccer field are represented in the following graph. Each interval is measured in meters. Use the coordinates on the graph to answer Questions 1 through. y Ben Abby Clay x 1. How far does Abby have to kick the ball to Clay? 2. How far does Ben have to kick the ball to Abby?. How far does Ben have to kick the ball to Clay? 4. Find the distance between the points ( 10, 7) and (1, 17). Chapter Assignments 77
6 5. The distance between the points (x, 5) and (0, ) is 10. What is x? 6. The distance between the points ( 6, 0) and ( 9, y) is 265. What is y? 7. While playing in the sandbox, Sara sees her friend Tanya at the water fountain. The positions of the sandbox and the water fountain are represented in the following graph. Suppose that Sara meets her friend Tanya halfway between the fountain and the sandbox. What are the coordinates of the point where they meet? sandbox y fountain x 78 Chapter Assignments
7 Name Date In Questions 8 through 10, determine the midpoint of the line segment with the given endpoints. 8. ( 2, 5) and (4, 1) 9. (4, ) and ( 2, 5) 10. (, 4) and (, 7) 11. The midpoint of a line segment is (2, 1) and one endpoint of the segment is (, 2). What is the other endpoint? Chapter Assignments 79
8 80 Chapter Assignments
9 Assignment Assignment for Lesson. Name Date Drafting Equipment Properties of Triangles 1. The legs of the isosceles triangle each measure 14 inches. Find the length of the hypotenuse. 14 in. 45 c in. 2. Find the value of c. 45 c 7 2 ft ft. The perimeter of the square is 2 centimeters. Find the length of its diagonal. 4. Find the value of a m a a Chapter Assignments 81
10 5. The length of a diagonal of the square is 6 centimeters. Find the length of each side. 6 cm 6. The diagonal of the square is 12 centimeters. Find the area. 12 cm 7. Find the area of the following figure using the information given in the diagram. The figure is composed of a triangle and a semicircle. Use.14 for. 12 cm 12 cm 8. The diagonal of the square in the following figure is 60 inches. Find the perimeter of the figure. The figure is composed of a square and a semicircle. 60 in. 82 Chapter Assignments
11 Assignment Assignment for Lesson.4 Name Date Finishing Concrete Properties of Triangles 1. The measure of the hypotenuse in the following 0º-60º-90º triangle is 28 meters. Find the length of sides a and b. a m b 0 2. The measure of the side opposite the 0º angle is 5 feet. Find the length of sides b and c. 0 b c 60 5 ft. The measure of the side opposite the 60º angle is 8 millimeters. Find the length of sides a and c. a 60 c 8 mm 0 Chapter Assignments 8
12 4. A broadcast antenna is situated on top of a tower. The signal travels from the antenna to your house so you can watch TV. The angle of elevation from your house to the tower measures 0 and the distance from your house to the tower is 500 feet. Find the height of the tower and the distance the signal travels. Antenna feet House 5. The measure of the longer leg in the following 0º-60º-90º triangle is 22 miles. Find the length of the hypotenuse miles 6. The length of the shorter leg in the following 0º-60º-90º triangle is 1 meters. Find the length of the hypotenuse. 1 m Find the perimeter of the trapezoid. 6 cm cm 84 Chapter Assignments
13 Name Date 8. Find the area of the triangle. 20 cm Find the area of the trapezoid. 8 cm 6 cm A broadcast antenna is situated on top of a tower, and the signal travels from the antenna to your house so that you can watch TV. The angle of elevation from your house to the tower measures 0º and the distance from your house to the tower is 775 feet. Find the height of the tower and the distance the signal travels. Antenna a 60 c feet House Chapter Assignments 85
14 86 Chapter Assignments
Find the side length of each square tile. Use a complete sentence to explain how you found your answer cm 2
Assignment Assignment for Lesson.1 Name Date Tiling a Bathroom Wall Simplifying Square Root Expressions Find the side length of each square tile. Use a complete sentence to explain how you found your answer.
More informationInside Out. Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems. Lesson 3.1 Assignment
Lesson.1 Assignment Name Date Inside Out Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems 1. Determine the measure of angle UPM in the figure shown. Explain your reasoning and show
More informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes
More informationName That Triangle! Classifying Triangles on the Coordinate Plane. LESSON 5.1 Assignment
LESSON.1 Assignment Name Date Name That Triangle! Classifying Triangles on the Coordinate Plane 1. The grid shown is a map of Stoneville and the locations of several businesses in the town. A line segment
More informationDetermine whether the given lengths can be side lengths of a right triangle. 1. 6, 7, , 15, , 4, 5
Algebra Test Review Name Instructor Hr/Blk Determine whether the given lengths can be side lengths of a right triangle. 1., 7, 8. 17, 1, 8.,, For the values given, a and b are legs of a right triangle.
More informationExponents 4-1. Lesson Objectives. Vocabulary. Additional Examples. Evaluate expressions with exponents. exponential form (p. 162) exponent (p.
LESSON 4-1 Exponents Lesson Objectives Evaluate expressions with exponents Vocabulary exponential form (p. 16) exponent (p. 16) base (p. 16) power (p. 16) Additional Examples Example 1 Write in exponential
More informationSquares and Square Roots. The Pythagorean Theorem. Similar Figures and Indirect Measurement
Lesson 9-1 Lesson 9-2 Lesson 9-3 Lesson 9-4 Lesson 9-5 Lesson 9-6 Squares and Square Roots The Real Number System Triangles The Pythagorean Theorem The Distance Formula Similar Figures and Indirect Measurement
More informationPre-Algebra Chapter 3 Exponents and Roots
Pre-Algebra Chapter 3 Exponents and Roots Name: Period: Common Core State Standards CC.8.EE.1 - Know and apply the properties of integer exponents to generate equivalent numerical expressions. CC.8.EE.2
More informationAccelerated Math 7 Second Semester Final Practice Test
Accelerated Math 7 Second Semester Final Practice Test Name Period Date Part 1 Learning Target 5: I can solve problems applying scale factor to geometric figures or scale drawings. 1. What is the value
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationStandardized Test Practice - Cumulative, Chapters What is the value of x in the figure below?
1. What is the value of x in the figure below? 2. A baseball diamond is a square with 90-ft sides. What is the length from 3rd base to 1st base? Round to the nearest tenth. A 22.5 B 23 C 23.5 D 24 Use
More informationShow all work for full credit. Do NOT use trig to solve special right triangle problems (half credit).
Chapter 8 Retake Review 1 The length of the hypotenuse of a 30 60 90 triangle is 4. Find the perimeter. 2 What similarity statement can you write relating the three triangles in the diagram? 5 Find the
More informationWhich one of the following is an SI base unit? (a) gram (c) newton (e) kilogram
chapter INTRODUCTION AND MATHEMATICAL CONCEPTS Section 1. Units Section 1.3 The Role of Units in Problem Solving 1. Which one of the following is an SI base unit? (a) gram (c) newton (e) kilogram (b) slug
More informationChapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.
Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,
More information8th Grade. Slide 1 / 145. Slide 2 / 145. Slide 3 / 145. Pythagorean Theorem, Distance & Midpoint. Table of Contents
Slide 1 / 145 Slide 2 / 145 8th Grade Pythagorean Theorem, Distance & Midpoint 2016-01-15 www.njctl.org Table of Contents Slide 3 / 145 Proofs Click on a topic to go to that section Pythagorean Theorem
More information5-7 The Pythagorean Theorem
5-7 The Pythagorean Theorem Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Classify each triangle by its angle measures. 1. 2. acute right 3. Simplify 12 4. If a = 6, b = 7, and c = 12, find
More informationINTRODUCTION AND MATHMATICAL Concepts. 1. Which one of the following is an SI base unit? (a) gram (c) newton (e) kilogram
chapter INTRODUCTION AND MATHMATICAL Concepts Section 1.2 Units Section 1.3 The Role of Units in Problem Solving 1. Which one of the following is an SI base unit? (a) gram (c) newton (e) kilogram (b) slug
More information1. LINE SEGMENTS. a and. Theorem 1: If ABC A 1 B 1 C 1, then. the ratio of the areas is as follows: Theorem 2: If DE//BC, then ABC ADE and 2 AD BD
Chapter. Geometry Problems. LINE SEGMENTS Theorem : If ABC A B C, then the ratio of the areas is as follows: S ABC a b c ( ) ( ) ( ) S a b A BC c a a b c and b c Theorem : If DE//BC, then ABC ADE and AD
More informationThe Theorem of Pythagoras
CONDENSED LESSON 9.1 The Theorem of Pythagoras In this lesson you will Learn about the Pythagorean Theorem, which states the relationship between the lengths of the legs and the length of the hypotenuse
More informationUsing the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles
Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean
More information7. The set of all points for which the x and y coordinates are negative is quadrant III.
SECTION - 67 CHAPTER Section -. To each point P in the plane there corresponds a single ordered pair of numbers (a, b) called the coordinates of the point. To each ordered pair of numbers (a, b) there
More information7.6 Radical Equations and Problem Solving
Section 7.6 Radical Equations and Problem Solving 447 Use rational eponents to write each as a single radical epression. 9. 2 4 # 2 20. 25 # 2 3 2 Simplify. 2. 240 22. 2 4 6 7 y 0 23. 2 3 54 4 24. 2 5-64b
More informationRadicals and connections to geometry
Algebra Assignment Sheet Name: Date: Period: # Radicals and connections to geometry (1) Worksheet (need) (2) Page 514 #10 46 Left () Page 514 #1 49 right (4) Page 719 #18 0 Even (5) Page 719 #1 9 all (6)
More informationRight Triangles
30 60 90 Right Triangles The 30-60 -90 triangle is another special triangle. Like the 45-45 -90 triangle, properties of the 30-60 -90 triangle can be used to find missing measures of a triangle if the
More informationMPM2D Trigonometry Review
MPM2D Trigonometry Review 1. What are the three primary trig ratios for each angle in the given right triangle? 2. What is cosθ? 3. For the following triangles, if ΔABC~ΔDFE, state a)the ratio of side
More informationGeometry Right Triangles and Trigonometry
Geometry Right Triangles and Trigonometry Day Date lass Homework Th 2/16 F 2/17 N: Special Right Triangles & Pythagorean Theorem Right Triangle & Pythagorean Theorem Practice Mid-Winter reak WKS: Special
More informationCh6prac 1.Find the degree measure of the angle with the given radian measure. (Round your answer to the nearest whole number.) -2
Ch6prac 1.Find the degree measure of the angle with the given radian measure. (Round your answer to the nearest whole number.) -2 2. Find the degree measure of the angle with the given radian measure.
More informationFind the length of an arc that subtends a central angle of 45 in a circle of radius 8 m. Round your answer to 3 decimal places.
Chapter 6 Practice Test Find the radian measure of the angle with the given degree measure. (Round your answer to three decimal places.) 80 Find the degree measure of the angle with the given radian measure:
More informationChapter Review. Things to Know. Objectives. 564 CHAPTER 7 Applications of Trigonometric Functions. Section You should be able to Review Exercises
564 CHPTER 7 pplications of Trigonometric Functions Chapter Review Things to Know Formulas Law of Sines (p. 5) Law of Cosines (p. 54) sin a = sin b = sin g a b c c = a + b - ab cos g b = a + c - ac cos
More informationGeorgia High School Graduation Test
Strand: Measurements & Geometry Georgia High School Graduation Test 1. Measurements & Geometry Definitions. inches A. Describe something that has a length of about 1 inch. B. Describe something that has
More informationMATH 110: FINAL EXAM REVIEW
MATH 0: FINAL EXAM REVIEW Can you solve linear equations algebraically and check your answer on a graphing calculator? (.) () y y= y + = 7 + 8 ( ) ( ) ( ) ( ) y+ 7 7 y = 9 (d) ( ) ( ) 6 = + + Can you set
More informationAnswers. Investigation 4. ACE Assignment Choices. Applications. The number under the square root sign increases by 1 for every new triangle.
Answers Investigation 4 ACE Assignment Choices Problem 4. Core, Other Connections 6 Problem 4. Core, 4, Other Applications 6 ; Connections 7, 6, 7; Extensions 8 46; unassigned choices from earlier problems
More informationFind the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.
Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in.
More informationDirections: Solve each problem. Write your answer as a simplified radical!
Directions: Simplify completely! 1) 7 ) 7 10 ) 5 + 6 + 7 4 7 4) 4 11 5) ( ) 6) (6w 8 w ) 7) 0 8 48 75 4 5 8) 7 (10 5 5 ) 9) 4 4 5 8 10) 90m n 11) 1) 5m 8 m 0 0 10 80 r r r 1) 5 18k m 14) 7 km 7km Directions:
More information~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations
Geometry nd Semester Review 018 Find the value for the variable for each of the following situations. 7. 400 m 1. 7 8. y. 8.9 cm 0 0 9.. 19 6 60 1 11 10. 45 4. 58 5 11. 5. 11 6. 18 1 slide 4.1 meters long
More informationSection 5.1. Perimeter and Area
Section 5.1 Perimeter and Area Perimeter and Area The perimeter of a closed plane figure is the distance around the figure. The area of a closed plane figure is the number of non-overlapping squares of
More informationPRACTICE PROBLEMS CH 8 and Proofs
GEOM PRACTICE PROBLEMS CH 8 and Proofs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to
More informationPrerequisite Skills. y x =
Prerequisite Skills BLM 1 1... Solve Equations 1. Solve. 2x + 5 = 11 x 5 + 6 = 7 x 2 = 225 d) x 2 = 24 2 + 32 2 e) 60 2 + x 2 = 61 2 f) 13 2 12 2 = x 2 The Pythagorean Theorem 2. Find the measure of the
More informationTrigonometry Applications
Name: Date: Period Trigonometry Applications Draw a picture (if one is not provided), write an equation, and solve each problem. Round answers to the nearest hundredths. 1. A 110-ft crane set at an angle
More informationGraphing Quadratics Algebra 10.0
Graphing Quadratics Algebra 10.0 Quadratic Equations and Functions: y 7 5 y 5 1 f ( ) ( 3) 6 Once again, we will begin by graphing quadratics using a table of values. Eamples: Graph each using the domain
More information2005 Palm Harbor February Invitational Geometry Answer Key
005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.
More informationD) sin A = D) tan A = D) cos B =
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the function requested. Write your answer as a fraction in lowest terms. 1) 1) Find sin A.
More informationGRADE 8 WINTER REVIEW MATH PACKET
Student Name: Date: Math Teacher: Period: GRADE 8 WINTER REVIEW MATH PACKET 2014-2015 1. What is the solution to the system of equations below? a. (3, 1) b. (0, 1) c. (5, 4) d. no solution 2. Which equation
More informationAP Calculus AB Chapter 4 Packet Implicit Differentiation. 4.5: Implicit Functions
4.5: Implicit Functions We can employ implicit differentiation when an equation that defines a function is so complicated that we cannot use an explicit rule to find the derivative. EXAMPLE 1: Find dy
More information9-7. a: Solutions vary. Possible solution shown at right. b: Answers vary. Assuming there are no hidden cubes, V = 11 units 3.
Lesson 9.1.1 9-7. a: Solutions vary. Possible solution shown at right. b: Answers vary. Assuming there are no hidden cubes, V = 11 units 0 0 1 1 1 1 9-8. a: 4 5 b: 196:1 c: 9:1 9-9. Since the perimeter
More information206 Calculus and Structures
06 Calculus and Structures CHAPTER 4 CURVE SKETCHING AND MAX-MIN II Calculus and Structures 07 Copright Chapter 4 CURVE SKETCHING AND MAX-MIN II 4. INTRODUCTION In Chapter, we developed a procedure for
More informationBC VECTOR PROBLEMS. 13. Find the area of the parallelogram having AB and AC as adjacent sides: A(2,1,3), B(1,4,2), C( 3,2,7) 14.
For problems 9 use: u (,3) v (3, 4) s (, 7). w =. 3u v = 3. t = 4. 7u = u w (,3,5) 5. wt = t (,, 4) 6. Find the measure of the angle between w and t to the nearest degree. 7. Find the unit vector having
More informationLesson 4.1 (Part 1): Roots & Pythagorean Theorem
Lesson 4.1 (Part 1): Roots & Pythagorean Theorem Objectives Students will understand how roots are used to undo powers. how the Pythagorean theorem is used in applications. Students will be able to use
More informationNAME DATE PERIOD. Find the geometric mean between each pair of numbers to the nearest tenth and and and 2
8-1 Practice Geometric Mean Find the geometric mean between each pair of numbers to the nearest tenth. 1. 8 and 12 2. 3 7 and 6 7 3. 4 and 2 5 Find the measure of the altitude drawn to the hpotenuse. State
More informationCircles and Parabolas
Circles and Parabolas Discus throwing is an ancient sport at least 3000 years old. This sport has been part of the Olympics since the first Summer Olympics in 1896. Many ancient Greek and Roman statues
More information4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3
SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want
More information4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes.
Geometry Name: Composite Area I Worksheet Period: Date: 4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes. 4 mm 2 mm 2 mm 4 cm 3 cm 6 cm 4 cm 7 cm 9. Find the shaded
More informationTrigonometric ratios:
0 Trigonometric ratios: The six trigonometric ratios of A are: Sine Cosine Tangent sin A = opposite leg hypotenuse adjacent leg cos A = hypotenuse tan A = opposite adjacent leg leg and their inverses:
More informationThe Top 11 Keystones of Algebra 1
The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.
More informationThe Pythagorean Theorem
The Pythagorean Theorem Geometry y now, you know the Pythagorean Theorem and how to use it for basic problems. The onverse of the Pythagorean Theorem states that: If the lengths of the sides of a triangle
More informationCourse End Review Grade 10: Academic Mathematics
Course End Review Grade 10: Academic Mathematics Linear Systems: 1. For each of the following linear equations place in y = mx + b format. (a) 3 x + 6y = 1 (b) 4 x 3y = 15. Given 1 x 4y = 36, state: (a)
More informationNorth Carolina Math 2 Transition Edition Unit 5 Assessment: Trigonometry
Name: Class: _ Date: _ North Carolina Math 2 Transition Edition Unit 5 Assessment: Trigonometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the
More informationSimilar Triangles, Pythagorean Theorem, and Congruent Triangles.
ay 20 Teacher Page Similar Triangles, Pythagorean Theorem, and ongruent Triangles. Pythagorean Theorem Example 1: circle has a radius of 20 units. triangle is formed by connecting a point on the perimeter
More informationMath 1201 Review Chapter 2
Math 1201 Review hapter 2 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. etermine tan Q and tan R. P 12 Q 16 R a. tan Q = 0.428571; tan R = 0.75 c. tan
More informationGEOMETRY & MEASUREMENT
GEOMETRY & MESUREMENT 1 1. The measure for a stud for a wall must be 72. Which of the following studs is allowed? 4 a. 72.7 in b. 72.31 in c. 71.81 in d. 71.2 in 2. t a bolt manufacturing company, 6 bolts
More informationQuadratic Word Problems - Develop an Approach and Solve
Name: Class: Date: ID: A Quadratic Word Problems - Develop an Approach and Solve Short Answer 1. Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 7x x, where x = width,
More information1 What is Science? Worksheets CHAPTER CHAPTER OUTLINE
www.ck12.org Chapter 1. What is Science? Worksheets CSS AP Physics 1 2015-16 Summer Assignment Part 1 of 3 CHAPTER 1 What is Science? Worksheets CHAPTER OUTLINE 1.1 Scientific Inquiry 1.2 Fundamental Units
More informationPark School Mathematics Curriculum Book 3, Lesson 3: Trig and Shapes
Park School Mathematics Curriculum Book 3, Lesson 3: Trig and Shapes We re providing this lesson as a sample of the curriculum we use at the Park School of Baltimore in grades 9-11. If you d like to know
More informationDuring: The Pythagorean Theorem and Its converse
Before: November 1st As a warm-up, let's do the Challenge Problems from the 5.1-5.4 Quiz Yesterday 1. In Triangle ABC, centroid D is on median AM. AD = x - 3 and DM = 3x - 6. Find AM. 2. In Triangle ABC,
More informationChapter 7 Review Sections labeled at the start of the related problems
Chapter 7 Review Sections labeled at the start of the related problems.6 State whether the equation is an example of the product rule, the quotient rule, the power rule, raising a product to a power, or
More informationReteaching , or 37.5% 360. Geometric Probability. Name Date Class
Name ate lass Reteaching Geometric Probability INV 6 You have calculated probabilities of events that occur when coins are tossed and number cubes are rolled. Now you will learn about geometric probability.
More informationGeometry Warm Up Right Triangles Day 8 Date
Geometry Warm Up Right Triangles Day 8 Name Date Questions 1 4: Use the following diagram. Round decimals to the nearest tenth. P r q Q p R 1. If PR = 12 and m R = 19, find p. 2. If m P = 58 and r = 5,
More informationAC9 CRCT Weekly Review
9 RT Weekly Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. picture that is 820 mm by 410 mm is to be reduced so that its larger dimension becomes
More informationMathematics 10C. UNIT ONE Measurement. Unit. Student Workbook. Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days
Mathematics 10C Student Workbook Unit 1 0 1 2 Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days Lesson 2: Surface Area and Volume Approximate Completion Time: 2 Days hypotenuse adjacent
More informationMCA/GRAD Formula Review Packet
MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD
More informationKCATM Geometry Group Test
KCATM Geometry Group Test Group name Choose the best answer from A, B, C, or D 1. A pole-vaulter uses a 15-foot-long pole. She grips the pole so that the segment below her left hand is twice the length
More informationPractice Lesson 11-1 Practice Algebra 1 Chapter 11 "256 "32 "96. "65 "2a "13. "48n. "6n 3 "180. "25x 2 "48 "10 "60 "12. "8x 6 y 7.
Practice 11-1 Simplifying Radicals Simplify each radical epression. 1. "32 2. "22? "8 3. "147 4. 17 5. "a 2 b 5 Ä 144 6. 2 "256 7. "80 8. "27 9. 10. 8 "6 "32 "7 "96 11. "12 4 12. 13. "200 14. 12 15. "15?
More informationPre-Test. Use trigonometric ratios to find the value of x. Show all your work and round your answer to the nearest tenth.
Pre-Test Name Date 1. Write the trigonometric ratios for A. Write your answers as simplified fractions. A 6 cm 10 cm sin A cos A 8 10 5 6 10 3 5 C 8 cm B tan A 8 6 3 2. Write the trigonometric ratios for
More informationHow can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots
. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,
More informationSquare Root Functions 10.1
Square Root Functions 10.1 Square Root Function contains the square root of the variable. Parent Function: f ( x) = Type of Graph: Curve Domain: x 0 Range: y 0 x Example 1 Graph f ( x) = 2 x and state
More information1.1 Modeling with Area
1.1 Modeling with Area Essential Question How can you use the population and area of a region to describe how densely the region is populated? Exploring Population and Area Work with a partner. Use the
More informationNORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date:
NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST Name: Date: Day 1 1. Determine the value of x if ΔABC is equilateral. B 7.5x 6x + 3 A Write your answer on the line. 10x 5 C What is the
More information12-1 Trigonometric Functions in Right Triangles. Find the values of the six trigonometric functions for angle θ.
Find the values of the six trigonometric functions for angle θ. 1. Opposite side = 8 Adjacent Side = 6 Let x be the hypotenuse. By the Pythagorean theorem, Therefore, hypotenuse = 10. The trigonometric
More informationUNIT 5 SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND PROOF Unit Assessment
Unit 5 ircle the letter of the best answer. 1. line segment has endpoints at (, 5) and (, 11). point on the segment has a distance that is 1 of the length of the segment from endpoint (, 5). What are the
More informationRemember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
More informationName Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.
Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12
More informationMy Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More informationUnit 4-Review. Part 1- Triangle Theorems and Rules
Unit 4-Review - Triangle Theorems and Rules Name of Theorem or relationship In words/ Symbols Diagrams/ Hints/ Techniques 1. Side angle relationship 2. Triangle inequality Theorem 3. Pythagorean Theorem
More informationUNIT 7: TRIGONOMETRY.
UNIT 7: TRIGONOMETRY. Trigonometry: Trigonometry (from Greek trigonom triangle and metron measure ) is a branch of mathematics that studies triangles and the relationships between their sides and their
More informationMultiplying and Dividing Rational Expressions y y v 2 3 v 2-13v x z 25 x. n - 6 n 2-6n. 6x + 2 x 2. w y a 3 w.
8- Multiplying and Dividing Rational Epressions Simplify each epression.. 9 a b 7 a b c. ( m n ) -8 m 5 n. 0 y + 5y 5 y - 5y. k - k - 5 k - 9 5. 5 - v v - v - 0. + - - 7. - u y 5 z 5 5 u y 8. a + y y +
More informationRadical and. Exponential Functions
Preview of Algebra II Radical and Exponential Functions 11A Radical Functions and Equations 11-1 Square-Root Functions 11-2 Radical Expressions 11-3 Adding and Subtracting Radical Expressions 11-4 Multiplying
More informationLESSON 11 PRACTICE PROBLEMS
LESSON 11 PRACTICE PROBLEMS 1. a. Determine the volume of each of the figures shown below. Round your answers to the nearest integer and include appropriate units of b. Determine the volume of each of
More informationLevel 1: Simplifying (Reducing) Radicals: 1 1 = 1 = 2 2 = 4 = 3 3 = 9 = 4 4 = 16 = 5 5 = 25 = 6 6 = 36 = 7 7 = 49 =
Name Period Date Unit 5:Special Right Triangles and TrigonometryNotes Packet #1 Section 7.2/7.3: Radicals, Pythagorean Theorem, Special Right Triangles (PA) CRS NCP 24-27 Work with squares and square roots
More informationFinal Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
( Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is an isosceles triangle. is the longest side with length. = and =. Find. 4 x + 4 7
More informationModeling with Volume
1.2 Modeling with Essential Question How can you use the mass and volume of an object to describe the density of the object? Finding Densities Work with a partner. Approximate the volume of each object
More informationClasswork 2.4 Trigonometric Ratios- Application Problems. 1. How tall is the building? 2. How far up will the ladder reach?
1. How tall is the building? 2. How far up will the ladder reach? 3. A rock dropped from the top of the Leaning Tower of Pisa falls to a point 14 feet from the base. If the tower is 182 feet tall, at what
More informationT.4 Applications of Right Angle Trigonometry
424 section T4 T.4 Applications of Right Angle Trigonometry Solving Right Triangles Geometry of right triangles has many applications in the real world. It is often used by carpenters, surveyors, engineers,
More information4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?
Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,
More informationGeometry Chapter 7 7-4: SPECIAL RIGHT TRIANGLES
Geometry Chapter 7 7-4: SPECIAL RIGHT TRIANGLES Warm-Up Simplify the following. 1.) 10 30 2.) 45 5 3.) 88 8 4.) 3 27 Special Right Triangles Objective: Students will be able to use the relationships amongst
More information8.1 THE LANGUAGE OF MOTION
Unit 3 Motion 8.1 THE LANGUAGE OF MOTION 8.1 LEARNING OUTCOMES Vector quantities, such as displacement and velocity, have both a magnitude and a direction. An object in uniform motion will travel equal
More information5 th Grade Force and Motion Study Guide
Name: Date of Test: Vocabulary 5 th Grade Force and Motion Study Guide Motion- a change in position relative to a point of reference, a change in speed, or a change in distance. Point of Reference (Reference
More informationTrigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED
Name: Class: Date: ID: A Trigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED 1. A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower a = 190 feet above the ground.
More information3. A tennis field has length 78 feet and width of 12 yards. What is the area of the field (in square feet)?
Station 1: MSG9-12.A1.NQ.1: Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems; identify, use and record appr opriate units of measure within context, within
More informationLet be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree.
Ch. 9 Test - Geo H. Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree. 1. 2. 3. a. about 58.0 c. about 1.0 b. about 49.4 d. about 32.0 a. about 52.2
More information